S. Find f(t), if f'(t) = df 1+ cos(2t) and f =1. %3D %3D dt

Q: fx)-fla) Use the alternate definition, lim to determine the instantaneous rate of X- a 著→ 2 1 change…

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Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: If y = f(g(h(x))), then the derivative y/ is given by which formula? a) None of these Ob) f'(g(h(x))…

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Q: Completion Status: A Moving to another question will save this response. Question 5 Suppose a rock…

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Q: A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

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Q: The solution of the initial value problem: 1 dy X +1 dx 1 for which y(1) = 1 is y

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Q: Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists).…

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Q: Question 3 Find the area enclosed by the curves y y = 2 V1- 9x2 O V5- 9. 2n B 3 5n D 6

A: Solution is given below:

Q: Consider the graph given above. Give an Euler trail through the graph by listing the vertices in the…

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Q: Find the arc length of the polar curve described by: r = 5+ 5 cos 0

A: Use the formula for the arc length in polar coordinate.

Q: Calculate the first, second, and third derivatives of y(x) = 3x'. (Use symbolic notation and…

A: We can find the 1st, 2nd and 3rd derivative as below.

Q: Question You have been asked to design a rectangular box with a square base and an open top. The…

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Q: Use logarithmic differentiation to find dy/dx. 4 y = x> 2 x* + 4 dy dx

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Q: ) Find for the following functions (choose five only): dx 1. y = 2* + e2x-1 2. y = sec x tan x 3. y…

A: We can solve this as follows:

Q: dx 4. S

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Q: Find the curl of the vector field F. F = (x-y+z)i+ (6x-y+7z)j+ (9x +6y + z)k curl F = i+

A: We have to find the curl F

Q: 12(x2 + y²) and above the The volume of the solid under the surface z = region 22 + y 0, is a) None…

A: Given problem:- The volume of the solid under the surface z = 12(x2 + y2)and above the region x2 +…

Q: Write out the first four terms of the series to show how the series starts. Then find the sum of the…

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Q: Set up the definite integral required to find the area of the region between the graph of y 20-z and…

A: Set up the integral

Q: Derivalive: f) JFonx-4 2.gm)- (Jx+ 37 Ax+1

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Q: Find a power series solution of the differential equation

A: Use power series for finding  solution.

Q: Current Attempt in Progress Consider the curve y = 6x3. The sketch of the portion of this curve…

A: Solve the following

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2? %3D

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Q: Obtain the general solution for the following differential equation. (a) y" – (a + ß)y' + aßy = 0 (a…

A: To solve the given higher order differential equation.

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: Set up the definite integral required to find the area of the region between the graph of y 15- and…

A: Area between the two curves f(x) and g(x) over the integral [a,b] is given by A=∫abfx-gxdx

Q: Let i = and v =. If ü xi = then determine the value of 3A+B+C.

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

Q: 3. The possition function s(t) = -1612 + 30t %3D Find : (a) average velocity over the time int erval…

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Q: quation and reduction to linear ec

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Q: Find the partial derivative of the function g(r,0) = r cos 0 + r sin 0.

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Q: Find the length of the spiraling polar curve 2e 40 From 0 to 27. The length is

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Q: Find a parameterization of the surface cut from the parabolic cylinder z= 1-y by the planes x= 2, x=…

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Q: - Ose the tranfiorms from the "Table of Lapiace Transformso fnd the Lpce of the function below. You…

A: Given problem:- Find the laplace transformation of f(t) =(1+t)3

Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: Sketch the region enclosed by y RV-eand r-1. Find the area of the region.

A: Region is bounded by the given curve y=e2x , y=e7x  and  x=1

Q: Find fr(x, y) and fy(x, y) given f(x, y) = tan x· cos os(x² – y?).

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Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: evaluate the given definite integral.

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Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: On each interval, determine whether the graph of f(x) is concave up or concave down. From x=1 to…

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Q: * 4.5" – 5. 4" b) Σ 6" n=1

A: Thereare multiple question, as per company policy kindly ask other question separately .

Q: Express the repeating decimal as the ratio of two integers. 0.3 = 0.3333. The ratio of two integers…

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Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = t’i+ t®j K(t) =

A: See the answer below

Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: Q2 Obtain the general solution for the following differential equation. b) y" – 4y' + 3y = 3e2x +…

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Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if Ix-yl se,…

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Q: Find the smallest value of x for which the series Σ (x+101)" 2ln(n) n=2 is conditionally convergent.

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Q: Prove that lim 1 1 by definition.

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Q: Suppose that f '' is continuous on [1, 3] and f(1) = 3, f(3) = −4, f '(1) = 5, and f '(3) = 4.…

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