(21) Let y be a function of . Find y'(x). Leave your answers unsimp (a) y = arcsin(arctan(2anx)), a E R (b) y = (VI)= esec z + cos e (c) y =

Q: 2 + In? x -dx x(1 – In x)2

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Q: The graph below is the function f(x) 4 -8 -7 -6 -5 -4 -3 /-2 -1 I 2 3 -2 -3 -4 -5- -7 lim f(æ) = x →…

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Q: 1-Find the area of the region R under y=x² + 3x +2 Between x=-1 and x=2 2-the region bounded by…

A: Topic:- application of integration

Q: z(0) - 2, y(0) 8.

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Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

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Q: Q2: Solve the following linear differential equation: y' + y = x+

A: We can solve this as follows:

Q: For the implicitly defined curve: cos(7y) 5y sin(x) dy (e.g., find y' ). dx a. Find a formula for dy…

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Q: 4 dx 4-x2 Evaluate

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Q: Find the area of the following shape, 212 2/2 9/2

A: We have to find the area of the given shape

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: Let B be the region in the first octant inside both x + y + z? = 1 and Vx2 + y² . Z. 3= a) Find the…

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Q: Consider the paints A (-2,3.1), B(0,0.2) and C (-1,5.-2). (1.) Find a vector of length T in the…

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Q: Limit of a graph. Please explain.

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Q: Find the following definite integrals. sin a dr

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Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: 3Vaz +2az (Simplify this into both radical form and exponential form.)

A: Here we will simply the given expression in radical and exponential form,

Q: Q2 ) Use the Simpson's rule with (n = 4) to estimate thef²n sinx dx . 2

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Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

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Q: ) frnd the sum of the fitst 20tems în Grthimet senies the -6-12 18- A -2526 B -1266 Sn=g(aitan)…

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Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: In reference to the function: g(x)=x^2 +2x−6 (−1 ≤ x ≤ 3) Show that the inverse function g−1 has…

A: We have to find the inverse of the function g(x).

Q: 2. y =,x = 1, x = 4, and y O is revolved about the y – axis. (Answer: 247 c. u. )

A: Given: y=4x, x=1, x=0 and y=0   The bounded region is as shown below.     Apply the cylindrical…

Q: Two skaters push a person sitting in a chair along the ice. The forces exerted by the skaters are…

A: We have to find the resultant vector.

Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

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Q: Circle

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Q: Let B be the region in the first octant inside both x? + y + z? = 1 and x² + y² . a) Find the triple…

A: Let's find given all triple integrals.

Q: 1- y = %3D 2yt+1 y(1) = -2 2- y'3 =? -2xy %3D 1+r2 y(2) = -5

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: (27) Evaluate the integral: 1 IP: 5t + 4)2.7 dt

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Q: Question Ris the region bounded by the functions f(x) = /3x - 1 and %3D g(x) = +2. Find the area A…

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Q: 2x 5. The y-intercept for the function g(x)= 2 +3 is: A) 2 B) C) 3 D) 5

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Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

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Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(x) = 3x…

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Q: This question is about the function f(8) = (0 – 3) cos(@). (a) Explain why the graph of f lies on or…

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Q: PROBLEM 7: Find all eigenvalues and eigenvectors of A. [2 -4 4 A 3 -3 7.

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Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: tan (6æ)sec (6æ)dæ Evaluate + C

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y? + x – 4y = 5; y-axis %3D

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: n the appropriate interval of convergence, we know that then we can deduce, by applying the ormula…

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Q: 11. Find the difference quotient. f(x) = 5 – 2x %3D f(a+h)- f(a) h

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Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

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Q: 9. A rectangle is formed in R² by the vectors OA = (1, 3) and OB = (6, –1). a) Calculate the…

A: a)Given OA=i+3jOB=6i-jSince OC is diagonal of parallelgram ABCDOC=OA+OBOC=i+3j+6i-jOC=7i+2j

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 20x, y = x ... The…

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Q: 8. Find the inverse function of: f(x) =- 64

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Q: "ou MUST answer question # 1. Then, choose Ol Use mathematical induction to prove the form…

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Q: CHECK YOUR PROGRESS 2 Define a relation C from R to R as follows: For any (x, y) e Rx R, (x, y) E C…

A: Concept: Domain and range : The domain of the relation is the set that contains all the initial…

Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: This question can be solved using the concept of graphs and derivatives.