Q2: Solve the following dx 7x³+14x+15 (x+3)(x+7) 1735 (1) J inte (2

Q: For f(x) = 7x and g(x)=x+4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d.…

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Q: (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C=i+j-k, find: (ii) B.C (iii)A. (B+C)and (A + B).C (iv)…

A: Given: A→=2i+3j−4k;B→=3i−4j+5k and C→=i+j−k We know that x1i +y1j+z1k·x2i +y2j+z2k = x1x2+y1y2+z1z2

Q: dw (C): If w = tan x and x = 4t³ +t; Find dt

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Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z=1 2x-y-z = 0 = 4 x +2y-z

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Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du

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Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with √√y…

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Q: [ 81e-9 sin 9xdx

A: Please see the below picture for detailed solution.

Q: dx d dx dx d dx -sinu d dx -tanu dx dx d dx d dx COSU dx cot u secu CSCU √u A.n+un- B. au* Ina*. C.…

A: Please see the below picture for detailed solution.

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (2) limx-o x-³ (tan-¹x - x)

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Q: Consider the position function below. r(t) = (1-1²,3-5t4) for t≥ 0 a. Find the velocity and the…

A: Given;  r(t)=<1-t2,3-5t4).

Q: A solid of revolution is formed by revolving about the x- axis the region bounded by the curve y √2x…

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Q: dy dx Q5: Find for the following functions: (2) y = tan³√√cot(7x);

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Q: (1) In(x - y) = xy + y³ ;

A: According to rules, I need to solve first question.. Please repost remaining questions

Q: S 7dx x(lnx + 1)

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Q: Using the Factor Theorem, which of the following is a factor of the polynomial function f(x) = 5x² +…

A: Given polynomial function is f(x)=5x3+5x2-60x

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: The objective of the question is evaluate the indefinite integrals.

Q: Evaluate the following integral. π 2 7y sin y s s dx dy 0 0

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Q: Find a differential equation of the following family of curves whose solution is: 1. A family of…

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Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the…

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Q: 4. 4 1 [x²ydxdy 20

A: I have stated the used formula in the solution

Q: The region is bounded by the graphs of the equations y = sin x, y = 0, x = 0, and x = π. dA = ( A =…

A: Here is your solution

Q: Evaluate the following limit. t sinj+ sin = 1+ k t -k π lim costi-5 1-x

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Q: 61. A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R…

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Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and…

A: Solution

Q: y = sin(x), y = 0, x = 0, x = Exercise (a) the volume of the solid formed by revolving the region…

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Q: Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If…

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Q: You go to the doctor and he gives you 15 milligrams of radioactive dye. After 16 minutes, 5…

A: I am attaching image so that you understand each and every step.

Q: Find f(145) (x) for f(x) = 83x¹0⁹. Simplify your answer completely. f (145) (x) =

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Q: nd the limit (if it exists). (If an answer does not exist, enter DNE.) 15 lim (x,y) → (0,0) x6y²

A: To  find the  limit.

Q: Find the distance between the pair of points (5.5,7.2) and (-0.5,4.2). If necessary, express the…

A: I am attaching image so that you understand each and every step.

Q: The region is bounded by the graphs of the equations y sin x, y = 0, x=0, and x-A. For the…

A: See this solution in below

Q: Find the area of the region bounded by the cubic y= (x + 2)(x - 1)(x - 3) and the x-axis. Write your…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i +…

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Q: y"+y=t y'(0) = -2 y(0) = 1

A: The differential equation is given by      y'' + y = tThe auxiliary equation of the corresponding…

Q: Question 20 Given the equation −4x² + 8x − 4y² − 56y − 4z² + 32z = −312 - a) Show that the given…

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Q: Let r(t) = (3t², 6, 2t). Find the curvature when t = 0.

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Q: QUESTION 2 The equation ut = 2uxx is O a partial differential equation in one variable O an ordinary…

A: Given: ut=2uxx

Q: Suppose r' (t) = (cos(t), et, 2t) and r(0) = (1, 0, 3). Find r(t).

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Q: s 32x² (x-15) (x+5)² dx I

A: Integral

Q: The direction field of the DE y' + ye³x+7= -2y² will have a line segment with positive slope at the…

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Q: Find the limit. lim (x,y) → (5, 1) ety Discuss the continuity of the function. O continuous…

A: See this solution in below

Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: A rectangular base box must be constructed, with a sheet of cardboard 40 cm wide and 50 cm long,…

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Q: 3. Translation: (x,y) → (x-6, y + 4) 5 -5 -5 Y C B X D 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (4) fxe-x dx

A: We solve this integral using integration by parts method .

Q: Find the average rate of change of the function f(x) = x² + 3x from x₁ = 2 to x₂ = 4. The average…

A: The function f(x)=x2+3x from x1=2 to x2=4

Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g(x) =…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Use logarithmic differentiation to find the derivative of the function f(x) = (sin 7x)/x c) Coal is…

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Q: 3. 1 S [(2x - 4y)dydx 31 1 -1

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x sin²x (2) lim, o…

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