A particle moves along a horizontal line. Its position function is s(t) for tz 0. For each problem, find the velocity function v(t) and the acceleration function a(t). Sketch the graph of s(t), v(t), and a(t). a. s(t) = t^3 - t^2 - 56t

Q: iSy dx dy 3.

A:

Q: Use the model found above to answer this question. Using the revenue data for Jesaki Inc. for the…

A:

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

A:

Q: 3) lim-) 1 х-1 \x-1 In x)

A:

Q: 1. A supermarket employee wants to construct an open-top bax from a 14 by 30 in a piece four corners…

A:

Q: ) Eliminate the arbitrary umstants of y= C, + C2 e ** + C3 e 3x

A: The given equation is y=c1+c2e2x+c3e-3x. We have to eliminate arbitrary constants c1, c2, c3. Since…

Q: 5 sin(0) – cos(0) dO Evaluate: со

A:

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 (Use decimal…

A:

Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A: We have to check of the objects collide.

Q: Find the solution of the given differential equation

A:

Q: e2t (t3 + 5t – 2) - 6+ 5(s – 2)? – 2(s – 2)³ (s – 2)* 6 2 - | (s + 2)* (s – 2)? 8 – 2 Option 2…

A:

Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Evaluate S.(x + y)dxdy by reversing the order of integration.

A: answer is in next step

Q: A. For each of the following functions z, find az and ду ax 1. z= sin3x cos4y 2. z = tan- (2) 3. yz…

A:

Q: dw I. Find dw and and ду aw (whenever possible) for the following functions. - - dz 1) w = 5x*y –…

A: Let's find.

Q: sin 2t sin 5t 20 s4 + 58s² + 441 None of the choices Option 3 10 1 s4 – 58s² + 441 2 s2 + 32 s2 + 7?…

A:

Q: Find an implicit and an explicit solution of the given initial-value problem. dy y – 1 dx x? - 1'…

A:

Q: a?z B. For each of the following functions z, find a2z and ду? a²z дх? дудх' дхду" 1. z = 2x2 – 5xy…

A:

Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Find the differential dy: y = In (sec2 (3* )). -2a+5 O tan (3-2+* ) dæ -2r+5 dy = (x – 1)…

A:

Q: S 23x26 ++16 dx

A: Here we have to integrate the given Integral.

Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: 4. Consider the curve with equation y = x* as shown in the diagram. A tangent line meets the curve…

A:

Q: (D² + 4)y= 4 cot 2x

A:

Q: 2. The integral S,n(4 - y²)?dy represents the volume of a solid. Sketch the region, rectangular…

A:

Q: ²+² +1) d + a (a – 2y) dy = 0 %3D

A: Given problem:- Find the solution of the given differential equation:  (x² + y² + 1) dx + x (x - 2y)…

Q: 1. Evaluate the integral (22 4т + 4)4/3 da. 3 (a) 1(x+2)1/3 +C 11 (b) (r+2)1/3 + C 3 3 (c) 교 -(x-…

A:

Q: Mary, Martha and Lazarus lives in the same house. It takes Mary 2 h to clean the house alone. Martha…

A:

Q: Assuming that the function f(x) = 3x + r³ +2 is one to one, find f(2).

A:

Q: 3s + 2 4s2 + 12s + 9 3 4 + 4 stet 3 2 Option 1 Option 2 3 2 4 + tet 4 3 2 Option 3 Option 4 None of…

A:

Q: B. Solve as indicated. 1. Find the geometric mean of 28 and 112. 2. Find the geometric mean of 7 and…

A: To find the geometric means for the given data. The formula for the geometric mean of x1,x2,...,xn…

Q: Give me an example of Properties of Definite Integral.

A: We have to give an example of definite integral using property

Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

A:

Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

A:

Q: x = -2t Given: line l1 : 3 1 – y = Z - 8 and l2 y = 2 + 2t z = 6 + 2t %3D 1. If the given lines…

A: The solution is given in the next step.

Q: 1 -dx. State whether the improper integral converges or diverges. 22 +4 Evaluate 00

A: We have to check weather the given integral is converges or diverges.

Q: a. V80.5 ; where: V81 = 3

A:

Q: 3s + 2 4s2 + 12s + 9 3 5 4 + Stezt 2 5 4 3 Option 1 Option 2 3 2 4 +te -tet 4 5 3 e O Option 3 O…

A: Find inverse Laplace

Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: We will use the formulae of circumference and volume of sphere to solve this question.

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction…

A: A detailed solution is given below.

Q: y=v16-x 2.

A: This question is based on application of integration.

Q:

A:

Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

A:

Q: A supermarket sells two brands of coffee: brand A at $p per pound and brandB at $q per pound. The…

A:

Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

A:

Q: 1 (b) 352+5s+1 (d) 3 (c) 5s+2

A:

Q: x2 - 3x -7 dx (x2 + x + 2)(2x - 1)

A:

Q: A. For each of the following functions z, find and dx ду 1. z= sin3x cos4y 2. z = tan- 1 (2) 3. yz +…

A: 1). Given: z=sin3xcos4y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

Q: a²z For each of the following functions z, find a²z a²z and ду? дх2 дудх' дхду 2. z= sin3x cos4y

A: