What Should My Sister Put on Her Wedding Registry?

We have all the standard stuff that you need for a house too. I've already owned 3 houses and have moved into a bigger house every time I buy a new one so of course, I have enough stuff. She had her own apartment for the last 3 years. However, she decided she wanted all new stuff so that's what we asked for on the registries. Towels, sheets, comforter, mattress cover, dishes, cutlery, appliances, etc. We had a few nontraditional items on the registry too. Dog bed for our dog (purchased), a new gas grill (yes, somebody bought it), a motorized cooler on wheels (got that too!), a microwave (got it) and stuff like that. Those are just some ideas you can registered for. Go shopping in these stores that have registries and just pick out stuff you want. That's what we did.

1. maintenance schedule tracking software

You mention Strava: they do that for you. If you register components and parts of your bike like a chain it will show the mileage from the registering date. It might a bit problematic if you have two sets of wheels (like one for rain and another for sunny days)that you use alternatively

2. How many wheels are on a boat?

Depends on your definition of a wheel and what kind of boat.By the most common definition, there are no wheels on my sailboat. But you could call a "block" with a rotating pulley in it a wheel. This would bring the sailboat up to 12 wheels.If you mean "steering wheels" or the wheel for the helm, again my sailboat has none. It uses a tiller. Some sailboats have just one wheel for the helm. Some of the large sailing vessels had many, because the power needed to hold the helm was far more than one person could exert and power steering did not exist.

3. Road Shape for Square Wheels

Let Choose a coordinate system so that $Q$ is constrained to move on the line $y=0$. This means $y_Q = 0$ identically.Parameterize $P$ by arc-length $s$. We will assume the wheel is rolling from left to right without sliding. Furthermore, at $s = 0$, $Q$ is located at origin and lies directly above $P$. More precisely,$$(x_Q(0), y_Q(0)) = 0,quadtext and quad begincases ( x_P(0), y_P(0) ) = (0,-b) ( x'_P(0),y'_P(0)) = (1,0) endcases$$After we roll the wheel for a distance $s$, $P$ moved to $(x_P(s), y_P(s))$. The tangent vector and upward normal vector of the bump at that point equals to $t = (x'_P(s),y'_P(s))$ and $n = (-y'_P(s), x'_P(s))$. Since the wheel is rolling without sliding with respect to the bump. One can reach $Q$ from $P$ by a move along direction $n$ for a distance $b$ followed by a move along direction $-t$ for distance $s$. This leads to following ODE$$0 = y_Q(s) = y_P(s) - s y'_P(s) b x'_P(s)$$Together with the constraint $x'_P(s)^2 y_P'(s)^2 = 1$ and given initial conditions, one find:$$ begincases x_P(s) = bsinh^-1fracsb y_P(s) = -sqrts^2b^2 endcases quad iff quad begincases x_P(s) = bt y_P(s) = -bcosh t endcases quadtext where quad t = sinh^-1fracsb $$ Let $t_0 = sinh^-1(1) = log(1sqrt2)$. The two endpoints of the bump corresponds to $s = pm b iff t = pm t_0$. At those points, $y_P(s)$ reaches its lowest value $-sqrt2b$. The area under the bump (but above this $y$) is given by the formula:$$beginalignint_-b^b (y_P(s)sqrt2b)x'_P(s) ds &= b^2 int_-t_0^t_0 (sqrt2 - cosh t) dt = 2b^2 left(sqrt2t_0 - sinh t_0

ight) &= fraca^22 left(sqrt2log(1sqrt2) - 1

ight) endalign $$ UpdateAbout how to solve the ODE, differentiate both equations by $s$, one get $$ begincases y - s y' b x' &= 0 y'^2 x'^2 &= 1 endcases quadstackrelfracddsLongrightarrowquad begincases -sy'' bx'' &= 0 y'y'' x'x'' &= 0 endcases $$ Comparing coefficients for $x''$ and $y''$, we find there is a function $lambda(s)$ such that $$ (x',y') = ( blambda, -slambda ) $$Since we want $x' > 0$, the normalization condition $x'^2 y'^2 = 1$ fixes $lambda$ to $frac1sqrts^2b^2$. Integrate above equation by $s$ will give us the desired solution.

4. Helpful Spring Cleaning & DIY Car Detailing Tips | Fredonia Chrysler Dodge Jeep Ram

Winter is finally taking its final breaths, and with it comes warmer and more enjoyable weather. But just because winter's wrath is weakening does not mean your car is out of the woods. Here are some useful spring cleaning tricks and DIY car detailing tips you can use to ensure your vehicle is prepared for the higher temps and longer road trips you are bound to take. Road salt is no joke-it can lead to car rust and all sorts of disgusting automotive ailments. As winter ends, you should ensure you are giving your car a full-on wash. Start by moving your car into the shade. Using a high-pressure hose or pressure washer, blast off the chemicals from the undercarriage and wheel wells. Do it again, just as a precaution. Take to the paint with a rinse and a few swipes from a soft sponge or microfiber cloth. Use a non-abrasive car-wash soap and wash one side at a time so that you can rinse the soap off before moving onto the next. Repeat if needed with clean water, and do not forget the wheels. Most mats are made of a special carpeting material-resilient, yes, but they are not typically stain-proof-and will require a thorough wash-n-scrub session. First, remove your mats and pick or vacuum up any loose debris like rock salt or wrinkled-up straw wrappers from your car's floor. Next, dilute stains with cold water, blotting with a rag. You can make a solution of water and dishwashing solution, but for the best results, use a specialty spot cleaner and follow the manufacturer's instructions. Here are some other handy cleaning tricks to help remove different types of stains: You can use small amounts of paint thinner-do perform a test spot first-to remove grease spots. Saturate the stain and cover with iodized salt. Let this mixture sit for a few minutes or until the grease looks to have been absorbed by the salt, then vacuum. If your pen exploded and left a large stain on our floor sometime during the winter, grab a can of hairspray and blast the stain. Once dry, wipe or brush the stain away, repeating the process until the ink is out. We wo not question why there's blood on your carpets. Instead, just use a laundry stain pen and ice-cold water. Dry laundering starch and water works well, too. If you are like most of us car owners, you've no doubt spilled a mocha latte or two on your way to work. To reduce the visibility of those pesky stains, apply cold water and glass cleaner, then blot. Carsickness can get the best of anyone. To remove the sights (and smells) of such a disaster, wash the area with mild soap detergent, warm water, and some club soda. Cover the saturated area with baking soda for additional odor absorbency. Lay your car mats out. Grab a brush and create a solution of hot water, dish soap, and white vinegar. Scrub the mats and allow to dry. Repeat if needed. For your car floors, you can use a steam cleaner to lift and treat most stains, or the same solution and process as mentioned above, taking care not to use too much water. Finally, apply standard shoe wax/polish to your mats to give them that new-car glisten. The harsh winter conditions and temperatures can do a doozy to your wipers. Allow the techs at our Fredonia CDJR service center to install your wipers, or check online to ensure sure you are investing in a quality set that fits your vehicle's make and model. A clean car is one thing, but why not have a clean and reliable car? To ensure your vehicle is ready to pile on some warmer-month mileage, bring it into our Fredonia service department. Our specialists will gladly change your oil and fluids, rotate and align your tires and wheels, and perform recommended maintenance. Call us at (877) 469-9970 or visit our new and used car dealership at 10294 Route 60 in Fredonia today! Serving all of Fredonia, NY, including the areas of Buffalo and Dunkirk, our new CDJR dealership and service shop is ready to make your spring, summer, and fall better than the last.