A particle travels along the a-axis such that its velocity is given by v(t) = t04 t = 2.5. Determine the position, velocity and acceleration at time t =1 and answer the analysis questions below. Use a calculator and round your answer to the nearest 2+5 cos (t2) . The position of the particle is x 3 when thousandth. x(1) = v(1) = a(1) =

Q: ex: W= Show that wxy=wyX

A: On solving this we will get:-

Q: Find the area of a sector of a circle with a radius of 5 ft with a central angle of 4

A: Given query is to find the area of the sector.

Q: 0 minutes. Water begins to be pumped 0. A different pipe is draining water from the tank starting A ...

A: Water

Q: For the given cost function C(x) 36100 + 700x + x², First, find the average cost function. Use it to...

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: I am attaching image so that you understand each and every step.

Q: 3. Show that the equation below is an inexact equation. Find the integrating factor in terms of t on...

A:

Q: Consider the function f(x) = 4z 5x on the interval- 2, 2. Find the average or mean slope of the func...

A:

Q: The coefficient of z2 in the expression (a +z)5 is 640. What is the value of a?

A:

Q: a) x-intercepts

A:

Q: Use the alternative form of the dot product to find u · V. ||u|| = 35, ||v|| = 40, and the angle bet...

A:

Q: Answer the following True or False: For every continuous nonlinear function, you can find a value of...

A: To states whether true or false. For every continuous non linear function, there is a value of x tha...

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 ...

A:

Q: 4. f(t) = V3 – 2t , find f""(t) %3D

A:

Q: name one real world example of when you would use a quadratic functions and form an equation name o...

A: To name one real world example when we used quadratic functions and a polynomial.

Q: Determine the average value of the piecewise function f defined below on the interval x -2 to x = 3....

A: We have to find average value of given peace wise function.

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

A: We know that the average value of fx over a.b is given byAv. of fx=∫abfxdx

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

A:

Q: S(1- cos )´sin ź dt, u = 1 – cos 4. U = V5x+8' dx ,u 5x + 8

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 8) v = (sin(0),...

A:

Q: -2 Let f be a function such that f(u) du = -12. What must be the value of -3 dx?

A:

Q: Compute im

A:

Q: P that is orthogonal to the vector AB. . B e distance from the point P(-3,1,9) В(-2,3, —4).

A:

Q: 5. Solve 5-X Express your solution in erval no solution on a real number line.

A: We we will solve the inequality. 

Q: tunction is eontinuas f(x) = [2x²2x4 X-2 at 2 x = 2

A:

Q: Let R be the region bounded by the functions f (x) = 2: 4 and g(x) = 4x as shown in the diagram belo...

A: Given, y= 4x y= 2x²-4 Equating the above two equation we have, 2x²-4=4x 2x²-4x-4=0 x²-2x-2=0 x= (-b+...

Q: Given the function Y(s) = Use the Laplace Transform table to convert this function into f(t). f(t) Y...

A:

Q: Let R be the region bounded by the functions f (x) = 3x2 as shown in the diagram below. Find the are...

A:

Q: is series to estimat e series be enough

A:

Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A: We have to solve above question 

Q: Given the function 2. Y(s) . 51 + 45 + 8

A:

Q: Given the piecewise function defined below, determine the value of 3 f(x)dx in simplest form. -3x² –...

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 7 4x 20y – 4z = -...

A:

Q: Find a particular solution y, of the differential equation: (a) 2y" + 4y' + 7y = x2 (b) y" + 9y = 2 ...

A:

Q: 23. Evaluate /// p² dV, where E is the solid that lies within the cylinder a² + y? = 1, above the pl...

A:

Q: cos x х dx /sin x COS

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A:

Q: 2. -2

A:

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

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Given a vector u that makes an angle θ with the positive direction of the x-axis .Then , u = u cosθ ...

Q: (b) symmetric equations 4- X z + 2 = y = 22 15 4 - x - Y + 5 22 27 z + 2 !! 15 X-4 y-5 20 27 15 z + ...

A:

Q: し y(x) ¥(0)%=3

A:

Q: A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of...

A:

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y = ...

A:

Q: 3-4 The figure shows a lamina that is shaded according to the given density function: darker shading...

A:

Q: %3D

A: Find the second derivative and substitute in the given differential equation and solve for r. 

Q: 5 and g(x) = Let R be the region bounded by the functions f(x) = 3x? shown in the diagram below. Fin...

A: Graph of the region is given, we have to find its area

Q: Find f. f"(x) = 48x2 + 2x + 10, f(1) = 1, f'(1) = -5 f(x)

A:

Q: The length of an arc of a circle with a central angle of 120° is 6r cm Find the radius of the circle...

A:

Q: Use implicit differentiation to find y' and then evaluate y' at (- 2,0). - 32 ey = x5 - y3 y' = D y'...

A: