8. A particle's position at time t is given by s(t) = -6t + 19t2 +t + 4, where s is in units of feet, and t is in units of seconds (for t > 0). Determine the value(s) of t for which the velocity is 0 ft/sec (andt> 0). Report your answer(s) to the nearest tenth.

Q: Suppose a point has polar coordinates -3, with the angle measured in radians. 3 Find two additional ...

A:

Q: x²+1 #5) Evaluate the integral J dx (x3+3x+2)2

A:

Q: Perform the following integrations: 11. (1– 2y*)' - 2y*)*, 12.

A:

Q: 2y _ x²y² %3D dx

A:

Q: Find the partial integral. + 3y?) dy t.

A: Given that a  integration and we solve this integration by using general formulas of integration. We...

Q: Evaluate the following integral. Se | 6x sin x cos x dx Use integration by parts to rewrite the inte...

A:

Q: Consider the function f(x) = 3x° + 5x° 7x? – 5. Enter the general antiderivative of f(x)

A:

Q: Determine the derivative of the following implicit functions Show your complete and detailed solutio...

A:

Q: Show that the functions e^x , e^2x , e^3x are linearly independent.

A:

Q: A straight piece of wire 40 cm long is cut into two pieces. One piece is bent into a circle and the ...

A: Length of wire =40 cm (Given) Let length of one piece for shape of square =x cm ∴ Length of other pi...

Q: cos'xsin*xdx IN

A:

Q: | Consider the function f(x, y, z) = – 2xy²z'. a. Find the rate of change of f at the point (1, -1, ...

A:

Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

A:

Q: Find the domain and range of f(x) = e^x / 1+e^x

A:

Q: (e) | x+y dA where R is the region bounded by y=0, y=x², R and x=1/3.

A: Let's find. 

Q: Separation of Variables x²dy = -(x? – 1)y³dx show your solution and box the final answer

A: Solution is given as below:

Q: Determine (x, y) and 2(x, y), where f(x, y) = X sen(xy) %3D y

A:

Q: Vxdx хӑх 3. Vx+Vx

A:

Q: If z = f(x,y) = x² + 3xy – y² If x changes from 2 to 2.05 and y changes from 3 to 2.96. Find the val...

A:

Q: Find all real numbers k so that the series (n – 3)* + (n – 3) (n³ – n³ – 1)'/3 n=4 converges.

A: Explanation of the answer is as follows

Q: 3) In (1+ Sin x)

A:

Q: Find the volume of solid generated if the area bounded by each of the following curves is revolved a...

A: Given Curve are y=x2,y=4,x=0

Q: Consider the vector field F(x, y) = . Use Green's Theorem to compute the path integral F dr where C ...

A:

Q: dx 2. x +1 -1

A:

Q: HOMOGENEOUS EQUATIONS Detemine the solution of the following differential equations. Choose the core...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 1+2 sec(- T sin(, r) ta il

A:

Q: Use the indicated test to determine whether each of the following series is convergent or divergent,...

A:

Q: dy Зу + 2 = 3x, x > 0 dx (Solve for y)

A:

Q: -3 Find the general solution of the differential equation (D+3)²y= (e¯²+1)

A: Using linear differential equation with constant coefficients.  

Q: Find the volume of solid generated if the area bounded by each of the following curves is revolved a...

A:

Q: Exercise 1. For the function f(x) whose graph is given below, sketch two functions F(x) whose deriva...

A:

Q: 2. Use left and right Riemann sums to determine the area under the graph of y = -a² + 4x – 3 for 1 <...

A: Given query is to find the area using Left and right reiman sum.

Q: Write a quadratic function wnose zeros are o and s(x) = 0

A:

Q: 00 3n Σ n²+2 Write the first Three terms of the sequence of partial sums : n=1 n° 9 1,2, 11 31 1,2, ...

A:

Q: Parks In numbers 5 and 6, a map of a park is shown with bridges connecting islands in a river to the...

A: There are five areas of park. Let us label them A, B, C, D and E. p, q, r, s, t, u, v and w are the ...

Q: 1. Find the differential given: e =(1- B) 2. Use differentials to approximate the value of: 63 3. Ev...

A:

Q: Prove that (a) IP(x) = (2/ – 1)xP-1(x) – (! – 1)P¡- 2(x), (b) xP(x) – Pi-1(x) = IP{(x), (c) P{(x) - ...

A: As per our guidelines we are allowed to answer only three subparts of a question. Kindly repost as a...

Q: II. Express each logarithmic equation in its equivalent exponential equation. 2. log10 10,000 = 4

A: The given question can be solved as shown in step2.

Q: A booklet gives the following instructions for measuring the area of an irreqularly shaped region. (...

A: This is area calculation problem

Q: ex- ex - y%3D ex +e-x

A:

Q: evaluate the limit if possible or state that it does not exist

A:

Q: If A and Bare vector fields, prove the following: V. (A × B) = B · (V×A) –A · (V×B).

A:

Q: Find the domain of the following function. If possible, give a description of the domain in words (f...

A:

Q: I need the answer as soon as possible

A:

Q: dy y/ 9y2–16

A:

Q: II. Show that each of the functions defined in (A) is a solution of the corresponding differential e...

A:

Q: Question 1 Sketch each of the folowing graphs: a) y= (x+5)(x-7) b) y= x+2 c) y= (x+4)(x-2)2

A:

Q: 1. Given 2-x 06 a) Do the following limits exists at lim f(x) and lim f(x). b) Does function f conti...

A: We have to solve the limits.

Q: Let f(x) = 9 · 5" ln(5). Find the most general antiderivative. F(x)

A:

Q: For the real-valued functions f (x)=x +4 and g (x)=x- 5, find the composition f og and specify its d...

A: