Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

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Q: 4) A manufacturer has determined that the total cost C of operating a factory is C = 0.5x^2 + 15x +…

A: Given, total cost C of operating a factory is C = 0.5x^2 + 15x + 5000  where x is the number of…

Q: Find the antiderivative of f(x) = point (0,3). O F(x) = tan¹x +1 O F(x) = 2 tan ¹x +1 -1 O F(x) =…

A: Given: fx=24x2+1 and x,Fx=0,3   As we know the expression for the antiderivative; Fx=∫fxdx And…

Q: Solve the given differential equation. All solutions should be found. dy e5x+10y = e dx NOTE: Use c…

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Q: Evaluate the double integral over the rectangular region J 6(x sin(y) – y sin(x)) dA; R = = {(x, y):…

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Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: Integrate. √7x²√x+2dx= (Use integers or fractions for any numbers in the expression.) √x+2 dx

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Q: ✓ Solve the following linear programming problem using the graphical method Min (Z)= 20X+30Y…

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Q: Consider the integral x³+1 x³(x²+1) -dx What is the correct partial fractio OA Bx + C

A: We have to choose the correct option from the given options according to the given information

Q: 9 of 11 Approximate the area using a. Left Riemann Sum b. Right Riemann Sum c. Midpoint Riemann Sum…

A: Find out  the area using following Riemann sums.

Q: Which of the following graphs is the correct plot of y = 5+ 5 4 4 -3 3 2 2 -1 + 5 6 2 4 -1 -2 --3-…

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Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate | 7e*dx 2.…

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Q: Question 6. At what value/s of x will the function y = O x = 0 O x = -3 O There is no point of…

A: Let's find inflection point of given function.

Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: 2. Evaluate Solve all parts or I'll dislike. If you can't solve all parts just skip it da da d. +…

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

Q: (: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

A: The given curve: x+y=1

Q: · [2² 1. ² dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: √ √tan tan x dx

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Q: convert the Following differential equation into a perfect equation and then Find its general…

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Q: x²-5y²-3x-y +22=0 (y-2)(x-y-2) = 0

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Q: Find the length of the spiraling polar curve r = 7e²0 From 0 to 2π. The length is

A: We will use the length formula of a polar curve on a given interval.

Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

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Q: What is the 6th term of (x - 1)¹0?

A: Given problem:- what is the 6th term of (x-1)10

Q: Q.2// Find (A) f sin¹ (x) cos5(x) dx (B) f 4t³-t²+16 t t² +4 dt (C) Use improper integral to find ²…

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Q: 2. Evaluate Solve all parts or I'll dislike. If you can't solve all parts just skip it dx dx d. S S…

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Q: Find the general Solution of the complement of the following differential equation y"-y" - y'- 2y =…

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Q: f (x) = - 4x² - 6x x²+3

A: Given f(x)=4x2-6xx2+3To find the derivatives:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F =…

A: Here, the outward flux is given by: ∫∫DDiv(F) dA…

Q: SxVx² √x² - 4 dx

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Q: Find the k-component of (curl F) for the following vector field on the plane. F = (Xex)i + (8y ex)j…

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Q: x + 2 x3 - 2x² - 3x dx

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Q: 5 1 Let f(x)= = on the interval [1,4]. For a E (1,4), construct a rectangle from x = 1 to x = a with…

A: Maximize area

Q: Find the solution of the given initial value problem in explicit form. 77 ㅠ sin(2x) dx + cos(8y) dy…

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Q: o an iterated triple integral in the order dxdzdy that gives the vol first octant enclosed by the…

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Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Solution of given question is written in below steps.

Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Please refer to the image below

Q: Consider the two vectors à = (1, −1, 2) and ☎ = (–1, 1, a) where a = 0 (a) Give a unit vector in the…

A: Vectors dot product and equation of plane

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 — 11x)y², y (0) = 9…

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Q: Evaluate the indefinite integral Sxe-xdx O-X-1 ex O X-1 ex O -x+1 e-x O-x-1 e-x -X =+C + C = + C - +…

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Q: 8. Use the given graph to estimate the left Riemann sum for the given interval with the stated…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: derivative of y = e(sin⁡x) − sin⁡(ex)8

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS(π/X9) dx x10 Need…

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Q: Determine the constants a and b in the equation of the curve y = ax + b³ + ca+d having a critical…

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Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: дz For z = x² + xy³ ; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 Əw

A: z=x2xy3, x=uv2+w2, y=u+ve2at u=2, v=1 and w=0, x=2×12+0=2y=2+1e0=2

Q: Which point is farther from the line that passes through both P and QR or S?

A: We have to find which point is farther from line PQ.

Q: f cos4x dx

A: According to guidelines, we must answer only one of the multiple questions given.So I answered only…

Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the hypotenuse side is equal to?

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Q: Find the critical points of f(x) = x - x7 and apply the Second Derivative Test (if possible) to…

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Q: Find all numbers b such that the average value of f(x) = 7+ 8x - 6x2 on the interval [0, b] is equal…

A: Value of b is given.