iv)Find the acceleration after 1s? After 3s? v) Find the total distance travelled during the first 8s.

Q: 11 of the distance from which it 12 A Super Happy Fun Ball is dropped from a height of 5 feet and…

A: This is a problem related to sequence and series. Based on the general formula and concepts we will…

Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

A:

Q: A region bounded by f(x) = 3 - x, y = 0, and x = 1 is shown. What is the volume of the solid formed…

A:

Q: dz(r, s, h, k). / 7. Test for relative maxı.na and minima and classify the critical points of the…

A:

Q: Find the average value of f(x, y) over the region R. F(x, y) = x R: rectangle with vertices (0, 0),…

A: Given problem:- Find the average value of f(x, y) over the region R. f(x, y) = x R: rectangle with…

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); и %3 %3|

A:

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

A:

Q: A particle is moving along a straight line such that the distance traveled (in feet) afte t seconds…

A: Given: s(t)=8t2+30t Recall: velocity at time tv(t)=ddt(s(t))

Q: Find the volume of a right circular cone that has a height of m and a base with a radius of 3.9 m.…

A:

Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: Here, form the given figure: A=∫04(0-(0.75x2-3x))dx=∫043x-0.75x2dx

Q: Sketch the graph of the given polar equations. 57 17. 0 = 6.

A: We have given a polar equation,                    (θ)= 5π/6 Now, we have to draw it's graph.

Q: 3. Use a sign chart for f" to determine the intervals on which each function f is concave up or…

A:

Q: Find the inverse Laplace transforms of the functions: 3 (a) F(s) s4 1 (b) F(s) (c) F(s) = s+5 3s+1…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Find the limit. (t i - 8 j+r k) lim t→2 lim t-2 (t i – 8 j + r² k) = i i+ i j+ i k

A:

Q: 1.) Use the integral test to determine if the series is convergent or divergent: E 2e-31 n =4 If it…

A: We are given a series  ∑n=4∞ 2e-3n We have to determine whether this series is convergent or not…

Q: (b) Estimate the critical point(s) of f. (e) Estimate the local extreme value(s) of f. (d) Estimate…

A:

Q: Determine Y for y= 5x²(1 + x²).

A:

Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: For the functions f(x) = xeX 1. The minimum value of the function occurs when x = 2. A point of…

A: Note that, the function if decreasing when f'(x)<0  it is concave upwards if f''(x)>0.

Q: Given f''(x) 16 sin(4x) and f'(0) = 3 and f(0) = 5. - Find f

A:

Q: a, = V 2n + 6" %3D lim an %3D

A:

Q: 5-e* 2x

A:

Q: Y=x(root2-x) Can someone explain why the domain is x=

A: The domain of the function is set of all possible input values for which function is defined.

Q: Evaluate. (Be sure to check by differentiating!) dx, x -2 4 + 2x dx 4 + 2x (Type an exact answer.…

A: To evaluate: ∫14+2xdx Let I= ∫14+2xdx

Q: t. 0.5 -5 -3 -2 f -0.3 -1 -1.5 -2 Find the following limits, if they exist. 5. lim f(x) 6. lim f(x)…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: if f(x) dx=18 and F(X)dx=3.8 find 5 S F(x) dx

A:

Q: 2. Let A = (1,0, 2) and B = (6, -2, 3). Solve for proja B. %3D

A:

Q: From Rogawski ET 2e section 10.2, exercise 34. Use the formula for the sum of a geometric series to…

A:

Q: Solve. y" + 36y = u;(t), y(0) = y'(0) = 0 %3D S f(t) 9(t) for t > 5* for t < 5 The solution can be…

A:

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given:  To find: Area of the triangle.

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. f(x) =…

A:

Q: Problem 5 Find the general solution of the following equation: y" + 2y'- 15y = 0. Find the…

A:

Q: In x dx e

A: The given integral is  ∫ee8lnx3x dx we solve the integral using proper substitution in the integral.

Q: state the range of the sine and cosine functions

A: Consider the sine and cosine function

Q: (b) x = 5+ 7ty = - 3+ 10t, z = 6 – 4t O (x, y, z) = (5, 3, 6) + t(7, 10, 4) ai + bj + ck = (5i + 3j…

A: Given that x=5+7t ,y=-3+10t ,z=6-4tcertisian…

Q: Find all points the graph of f(x) = 2 sin x + sin?x where the tangent line is horizontal on

A: Solved below

Q: 1. Let f be a function satisfying the following properties: continuous on R\{1} • f(0) = 0 and f(3)…

A:

Q: 3. Determine the exact value of x given the following information. a) a = 2,r = 3, t, = x b) a =…

A:

Q: Compute the partial sums S2, S4, and S6. 9 9 + 9 + S2 = | %3D S4 = | S6 =[ %3D + +

A:

Q: The base of a three-dimensional figure is bound by the circle x² + y? = 9. Vertical cross sections…

A:

Q: S se ex dx

A: LetI=∫sec3(x)dxI=∫sec2(x)sec(x)dxApply integraion by…

Q: Simplify the expressions below as much as possible. Leave no negative numbers under radicals and no…

A: Find your answer below

Q: divergence. , (-1)"-1 R 2n Test the series for convergence or

A: Here we use the ratio test for convergenceFor a series ∑an  then limn→∞an+1an=L then (i)  if L&lt;1…

Q: From Rogawski ET 2e section 10.2, exercise 36. Use the formula for the sum of a geometric series to…

A:

Q: Solve the following system of IVP: -3 3 x' = Ax where A =-2 -1 1 and x(0) 21 %3D 3.

A:

Q: 4. Solve the initial value problem 8+ 3y = sine 0 > 0, y(n) = -5. %3! de

A:

Q: Consider a triangle ABC like the one below. Suppose that B=114°, C=40°, and c=47. (The figure is not…

A:

Q: 7. Test for relative maxı.na and minima and classify the critical points of the function f(x, y) =…

A:

Q: Find the equation of the tangent line to y = 7et at x = 3. (Use symbolic notation and fractions…

A:

Q: ders of integration. Use the more convenient order to evaluate the integral over the plane dA unded…

A: