. The following is a graph of velocity and acceleration (for an object moving left and right). Describe 4 becific details about the object's motion, velocity and/or acceleration.

Q: Find the vector component of v = 2i –j+ 3k along b = 4i + 8j + 8k and the vector component of v orth...

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Q: The shaded region shown below is bounded by the functions f(x) = -3x2 +8 and g(x) = -1.5x +6 and the...

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Q: If g' (x) = f(x) with g(-5) = a, g(-–3) = b, g(-2) = c, and 1 f 3 g(6) = d. , express the value of d...

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Q: A box with a square base and open top must have a volume of 219488 cm. We wish to find the dimension...

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Q: n+1 24. 2n +3 n=0

A: Given query is to find the series converges or diverges.

Q: 6. The derivative of f(r) = a" + log, r equals %3D 1. 1 (a) f'(x) = In a · a" + In a r (b) f'(x) = a...

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Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e.

A: First we find dy/dx then put x=0 and y=1

Q: Determine if the following functions are continuous on the interval I. (i) f(x) = -x. (0, 1) I 2 x-x

A: Check the numerator and denomination in the given interval to decide the function. 

Q: Find the exact length of the polar curve r=1+ cos 0

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Q: 3,-2,2]ad ū= कि-5, १ । 22 -> detemine ú x v.

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Q: .

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Q: 1.4. E e-2k k=0 1.5. (-1)* k=0 k+1 1.6. k=53 k-1 M8

A: To analyse the given series.

Q: cos (6x) cos (3x)dx

A: Solution :∫cos6xcos3xdxNote :2cosacosb=cosa+b+cosa-b12∫2cos6xcos3xdx12∫cos6x+3x+cos6x-3xdx12∫cos9x+c...

Q: How many natural numbers n satisfy given conditions: when 5 is added to n it gives a perfect square ...

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Q: 3. Determine the sum 3. 42n+1 (a) 33n n=1 4.5n-1 ( b) Σ 32n+3 n=1

A: to find: Sum of the given series

Q: Find f. f"(x) = cos(x), f(0) = 6, f'(0) = 4, f"(0) = 9 f(x) =

A: We can find the value of f(x) as below.

Q: The functions f and g are continuous and differentiable with f(x) = g'(x). Selected values of the fu...

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Q: Which of the following limits is equal to a* da? 4 A lim T 00 k 3+ n k lim (3+ 2 T 00 n k-1 C lim T ...

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Q: ... Select the correct choice below and, if necessary, fill in the answer box(es) to complete your c...

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Q: Solve the differential equation. ху' — 2у %3D х2, х>0

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Q: A tank has 150 liters of water in it at time t = 0 hours. Water begins to be pumped into the tank at...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Use the table below to find: (f o g)(10) = (go f)(7) = %3D %3D (f o f)(2) = (9 o g)(9) = || -9 -7 -4...

A: Use the table 

Q: tan3x 6. lim X-0 tan4x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Use logarithmic differentiation to find the derivative of the function. sin? x tan4 x y = (x2 + 4)2 ...

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Q: se differentials and the graph of f to approximate the following. (Round your answers to three decim...

A: Given problem:-

Q: The functions f and g are continuous and differentiable with g' (x) = f(x). Selected values of the f...

A: Find your answer below 

Q: Find the angle e between the vectors in radians and in degrees. u = 9i + 7j + k v = 7i - 9j (a) radi...

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Q: A company estimates that the cost (in dollars) of producing x units of a certain product is given by...

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Q: v(t) = t² – 3Vt, s(4) = 9 %3D s(t) = 2t 11 %3D - 3

A: Given query is to find position function.

Q: Find the domain and range of the function graphed below. 5t -5 -4 -3 -2 -1 2 3 4 5 -2 -4 -5+ Domain:...

A: Given data÷

Q: Rion to 2%3D8

A: Solution :Derivative with implicite diffrantiation Given  : x2y+y2=8

Q: Let f(x, y) = x² + xsin(y). %3D

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Q: Find the x-intercepts. 2x2 – 3x + 1 y = 2x2 + 8x + 6 - (0.5, [?]), ([ ], [ ]) Enter the number that ...

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Q: Consider the region below f(x) = (8 – x), above the x-axis, and between x = 0 and x = 8. Let x; be t...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: Please give me the full solution and answer, thank you

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Q: Consider the following. dx (a) Perform the integration in two ways: once using the Simple Power Rule...

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Q: h(x, y, z) = xyz, P(3, 2, 6), v =

A: We will find the directional derivative. 

Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: Find the value of x that intersect to the given equation.. 2x1 + 5x2 = 16 3x1 + x2 = 11

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Q: 2r dr (1 - r)"

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Q: 1. y = 1+3x-x2

A: Given: y=1+3x-x2 Recall: ddx(k)=0ddx(xn)=nxn-1

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: 2. (cax-6)*dx

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Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.65 - 0.00...

A: Given,           A company estimates that the marginal cost in dollars per item of producing        ...

Q: Give The 15T four nunzero Term ot MeSertes aboufx=625.

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Q: a) x-intercepts

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Q: Consider the function f(x) on the interval 4, 12. Find the average or mean slope of the function on ...

A: Topic:- function   

Q: f (2x+ 3) dx -1. Write an equation that can Let f be a function such that be inferred involving the ...

A: