If f(x) = 6 cotlx + 8, then find the value of f'(-2) is %3D -2 -8 V5 8. OO O

Q: Find the total area enclosed between y = x and y = x over the interval [-1, 8]. NOTE: Enter the exac...

A: This question is based on application of integration.

Q: 1. What is the slope of the line tangent to the curve y=x3(x2-3) at x=-1? A. 1/4      B. -1/4      ...

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Q: Evaluate the given definite integral by any applicable method. * 11. | ° cos³y sin³y dy 2 b.: 30 1 d...

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Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: Evaluate the integral. In(12 x 11) dr

A: We use integrated by parst and solve the given integral.

Q: Evaluate the integral. 922-100x-100 2-100x dr = +C NOTE: Enter the eract answer.

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Q: Find the equation of the circle shown. -7 -6 -5 -4 -3 -2 -2 -4- -5- of Write equation in standard fo...

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Q: The derivative of the function y = cot¬1(csc x) is: csc x cotx cSC X cot x y' y' = csc?x+1 csc?x+1 t...

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Q: Using the method of substitution, | 2? V9x + 7 dæ = | f(u) du where u = du dx a = , and f(1) =

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Q: DÒ NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: Consider the function f(x)=12x^5 + 60x^4 − 100x^3 + 7. For this function there are four important in...

A: Given problem:- Consider the function f(x)=12x5 + 60x4 − 100x3 + 7. For this function there are four...

Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?...

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Q: Let a = ci + j and b = 2i + 10j. Find c so that a and b are orthogonal. c =

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Q: 1+2y² y sin x dyt cs C vdr = 0 dy 10. dx sec2

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Q: Use integration by parts to evaluate the integral:

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Q: Question 2 of 10 > View Policies Current Attempt in Progress Evaluate the integral. d.r r2 + 6x – 7 ...

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Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: 4. AUVW AK Solve for the value of v. v+25 6v +5

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Q: Q1. This question asks to find the average value of a function (see Lecture 10). (i) Find the averag...

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Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

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Q: 2x + 8, x 8 (i) f(8)= (ii) lim f(r)= (iii) lim f(x)= I 18+ (iv) Justification Answer=

A: To find out the f(8), left hand limit, right hand limit, and also justify the answer. 

Q: Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

Q: Using integration by parts, the integral Vx In x dx equals: 2 evē+4 2 eve+4 9. 3 the above the above...

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Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

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Q: Partial Derivative Let w = exz sin(yz) – ev²cos (xz) Find wx. %3D - Higher Derivatives Let z = (x – ...

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Q: Which of the following best describes the function below? S(x)={3r if.rs2 |x³ if 2<x f(x) =: A. Cont...

A: To check continuity we find left hand limit and Right hand limit. If they are equal then function is...

Q: d Compute [(2x² + 5)(4.x –1)] at x = Со dr

A: To find: The value of  ddx2x2+54x-1at x=12. Concept used: Product rule of differentiation f·g'=f '·g...

Q: The solution of the non-exact differential equation (x*e +5dy + (1 +2x²e")dx = 0 is: O x^2 e*y+Inlyx...

A: To determine the solution of the following non‐exact differential equation.x3ey+xydy+1+2x2eydx=0

Q: 2 AHIJ ARST Solve for the value of y. R. y-4

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Q: The design commonly used in one residential community is of majestic doors and windows. In this comm...

A: Given, The front window of a newly built house is 7 feet at the base. The top of the window is 12 fe...

Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: Find  dy du,  du dx, and  dy dx. y = 2   u,     u = 5x + 3

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Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1 (...

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Q: Consider the following function and express the relationship between a small change in x and the cor...

A: Given query is to find the differential.

Q: Question 5 of 10 View Policies Current Attempt in Progress Find the volume of the solid that results...

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Q: If f(x) 3 cot lr+ 4, then find the value of f'(-1) is > 8 m IN O O

A: Solve the function

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved a...

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Q: B. Use the figure at the right. 1. [- 5, - 3) 2. [- 4, - 2] 3. [-1, 2] 4. (3, 5] 5. [1, 4] 4. 3- 2- ...

A: Given

Q: How could you find an unknown number missing from a fact triangle?

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Q: 1. Use the 8 step algorithm for curve sketching to analyze the key features of the following functio...

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Q: The management of Porter Airlines finds that its monthly marginal revenue can be approximated by R'(...

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Q: In an isosceles right triangle ABC, with the right angle at C, the length of a leg is 20 inches. Per...

A: Given that:  C is the right triangle.  The triangle is isosceles.  Legs AC=BC=20.   Since it is an i...

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² an...

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Q: Find F' (÷) if F(x) = 2 cos-1 Vx. %3D

A: We will find the value of F'12 where Fx=2 cos-1x in the following step.

Q: 102 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = a...

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Q: 1. What is the first thing to consider when finding the extrema of a function? A. Check the critical...

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A: We will find what the graph is called. 

Q: The derivative of the function y = e* In(cos x) is: y' = e*(In(cos x) – tan x) y' = e* (In(sec x) + ...

A: Use the derivative of the form y = u.v

Q: Let a = ci + j and b = 4i + 8j. Find c so that a and b are orthogonal.

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Q: Find the global minimum of the function f (x) 1 + x² on the interval (0, co0)

A: Given that f(x)= 1+x2.  And we find global minima on the interval (0, infinity).     Here i attached...