Find the area of the inner loop of r = 3+4 cos 0 O 0.3806 O 0.6803 O 0.6308 O 0.8360

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Q: A If w= f (x, y), where x = rcos 0 and y = rsin 0 , show that 2 1 + 2 +

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Q: Find the projection in the ry plane of the curve of intersection of the surfaces 222 = r² + y? and r...

A: Find your answer below 

Q: . With numbers, a∙b=b∙a and we say that multiplication is commutative.  Is matrix  multiplication co...

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Q: Find

A: We will find the integral. 

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Q: 5)ohow all Stes in the solution of the polynomial ineguality beiow. (メーム じ o

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Q: A box with a square base and open top must have a volume of 237276 cm*. We wish to find the dimensio...

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Q: Find the area of the surface obtained by rotating the curve y = x² - In(x) about the y-axis for 3 <x...

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Q: Write an expression for the distance w in terms of x. X=-3 t-2y+1 w/

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Q: /x + Vy = 4 find the first derivative %3D

A: We know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1   Given: x+y=4

Q: )In this problem, you will find the volume of the solid generated by revolving the region bounded by...

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Q: Consider the series given below: Σ 3n n=1 a) Find the values of x for which the series converg

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Q: Television Viewership The number of viewers of a television series introduced several years ago is a...

A: Given  N(t) = (60 + 2t ) ^(2/3)  Find the rate of increase of the weekly audience at the end of week...

Q: 1 Σ 16п2 — 8n — 3 n=1 n=]

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Q: Activity 1. Evaluate the following limits by applying the Limit of Sum and Difference of Functions. ...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

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Q: Suppose for a particular commodity, e = .25 and that currently 90,000 units are selling for $7 each....

A: This question is related to price and revenue functions, we will solve it using given information. 

Q: 1 dx x2 + 1

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Q: Find the maximum of S(x, y) = 2x + 2y – x² – y? – xy on the square, 0 sx s a, 0 s y s a, a = 3. (a) ...

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Q: ) dx (D) [ + 4 dx (C) 2 + 2 2x

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

Q: Let f(x)=x^3 + 5. Explain why f(x) is invertible, then how all steps in the derivation of a formula ...

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Q: Suppose g'(t) = (t – 1)(t – 7)(t – 8). Find the largest value of A such that the function g(t) is in...

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Q: ꭓ3 −3ꭓ2 + ꭓ = −2 i) Form a cubic equation utilizing the above and create the function f(x). ii)...

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Q: 9. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height a...

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Q: Activity 2. Evaluate the following limits by applying the different Limit Theorems discussed. 1. lim...

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Q: 3x+2 2 dx find the first derivative 9x y

A: Given :y=3x+29x2

Q: Find the Taylor series for f(x) =-- centered at a = 2. (-1)"+1 (A) Σ (n + 1) (x – 2)" (B) 2 (-1)"+1,...

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Q: Decide whether or not the functions are inverses of each other. tive function

A: Given that, There are two graph of two functions. We have to find that, both graph are inverse of ea...

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A: We will find the point. 

Q: If g(x)=5*, then g'(2) is:

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Q: ydy +4y+11

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Q: 7. Simplify. Write answer in the form a + bi, where a and b are real numbers. (2+3i)(2 + 5i)

A: Simplify (2+3i)(2+5i) 

Q: Find the polynomial of degree 9 (centered at zero) that best approximates f(x) = ln(x³ + 5). Hint: F...

A: solution:-we know that the Taylor polynomial of ln(1+x) centeed at zero is: ln(1+x)=x-x22+x33-x44+.....

Q: Evaluate the integral. T/2 9 sin2(x) cos2(x) dx

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Q: Find the minimum and maximum of f(x, y, z) = y + 5z subject to two constraints, 2x + z = 4 and x² + ...

A: Please go through the solution which has mentioned in the step 2 

Q: f(x) = 8 +3/x f'(x) =D f'(1)=D (Simplify your answer. Type an exact answer, using radicals as needed...

A: f(x)= 8+√3x  Find f'(x) , f'(1), f'(2) and f'(3) 

Q: If k is any real number, prove or disprove that sinkx 1. lim x-0 kx 1. 1-coskx 2. lim = 0. x+0 kx

A: Given query is to find prove the following limits.

Q: Evaluate the line integral F. dr, where F(x, Y, z) = –xi yj – 5zk and C is given by the vector funct...

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Q: 1 dx - 16 4 xvx2 ||

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Q: For the quadratic function f(x)= 2x² – 24.x+90 (a) Complete the square to put the equation into a(x-...

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Q: Problem 7. (1 point) Let f(x) Then (fo g)(2) =, (fo g)(x) =|| = 2x + 4 and g(x) = 5x2 + 5x.

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Q: Find the derivative of the function. h(t) = 3 cot-(t) + 3 cot" h'(t) =

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Q: Express 5.55 x 102 as an ordinary number.

A: We need to express given number in ordinary number.

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: The given integral,      ∫33316x-33dx

Q: Use C for any constant of integration. ' 6x³ + 2x? – 20x – 12 - - dx = x² – 4 -

A: We have to find value of given Integral

Q: 04cm. If its heig ght . Figure 5.1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 7x5 - x3 + 2x - 5 7. lim x→-o 9x6 – 2x2 + 10

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = - 0.01q² + 3q – 34, where q...

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