Evaluate: I|(3x2 +9y2)dxdy. Use inner limits 0 to y and the outer limits 0 to 2. О а. 35 O b.30 C. 40 O d. 45

Q: Given F(2) = 4, F'(2) = 2, F(4) = 2, F'(4) = 7 and G(2) = 4, G' (2) = 1, G(4) = 1, G' (4) = 2, find ...

A: topic - functions and derivatives

Q: Find the vertex, focus, and directrix for the parabola (x + 1)² = 8(y + 2) Vertex: Focus: Eguation o...

A: Topic = Parabola Vertex  (-1,-2) Focus ( -1,0) Equation of the Directrix , y= -4

Q: cos(x) = -7. Let g(x) = (x) sin(x) and h(x) =. x) Suppose = 2 and Find the following. (a) g g() = (a...

A: The given question has been solved in detail

Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...

A: This is a problem of maxima and minima of the function. Based on the first and second derivative tes...

Q: Find the area of the region bounded by the spiral r= 50 for 050ST. r= 50 2 '2 (5π,π)

A: Find your answer below 

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Q: Let f(x, y) = (- (3z + y))°. Then

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Q: 1 2. Let e =. Determine the smallest choice of N > 0 such that N. 6 ' n(n + 1)

A: To determine the smallest choice.

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: increasing decreasing

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Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the...

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Q: Consider the following. 2 + y- 16 (a) Find two explicit functions by solving the equation for y in t...

A: The objective is to solve the above questions. 

Q: V12 2+3+ cos The value of sin cot cos V 4 + sin 4 12 is

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Q: Evaluate the indefinite integral. S(4v – v²)² dv , and Show the complete solution and express the fi...

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Q: Use a graphing calculator to find the intervals on which the function is increasing or decreasing. 1...

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Q: Find the exact length of the curve on the given interval. Show at least 3 steps to justify your answ...

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Q: 2. a) Find lim g(x), lim g(x) and lim g(x) 2 b) Find f(1). c) Is g continuous at x = 1? Why or why n...

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Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: r-3 Given the functions f(x) = 3+ VT, g(x) = x- 3, h(r)= m(x) = find the following: 3x + 5° 5r -1' (...

A: According to our guidelines we can answer only three subparts and rest can be reposted.Kindly repost...

Q: IV. Find the equation of a line passing through (-1,4) and perpendicular to the line x+5y-4=0. V. Fi...

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Q: Jse the quotient property of logarithms to write the logarithm as a difference of logarithms. Then s...

A: Formula:lnab=ln(a)-ln(b)

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second poli...

A: This is a problem related to distance and velocity. By using the below formula we will solve given q...

Q: 8. O f(x) = 3x° – 5x³ + 1

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Q: Use the function below to answer the following questions. m(x) = - -5 (a) Use transformations of the...

A: Solving the problem by finding the domain,range and asymptotes.

Q: Does the graph of the function y = tan x - x have any horizontal tangents in the interval 0 sx <2n? ...

A: We get the slope y' of the tangent to the function y=tan x-x by differentiating it with respect to x...

Q: For the given p-series, identify p and determine whether the series converges. k=1 5/4 . Therefore t...

A: ∑k=1∞k-54 

Q: If y=3xe , then what is d²y. 3x dx 2

A: Let's find. 

Q: C = x Vx? – 25 + 50V2? – 25 + C.

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Q: Use sigma notation to write the Maclaurin series for the function. 7sin x 7( - 1)2* Σ =0 (24)! Σ 2+1...

A: NOTE: Refresh your page if you can't see any equations. . as we know, the power series of the sine f...

Q: The half-life of cesium-137 is 30 years. Suppose we have a 150 mg sample. (a) Find the mass (in mg) ...

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Q: Determine whether the improper integral diverges or converges. dx e6x + e-6x converges O diverges Ev...

A: The given integral,       ∫0∞1e6x+e-6xdx

Q: Find the area of the region that lies inside r = 2 + cos 2θ but outside the curve r = 2 + sin θ

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Q: Evaluate the indefinite integral. (x2 – 6x + 9)dx , and • Identify what is the u=? and du=? Show the...

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Q: Find the radius of convergence and the interval of convergence. E(-1)* *(x+9)2k+1 k2 + 9 o+ 9 k=1 Ra...

A: radius of convergence and interval

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of sol...

A: For infinite many solution ,  a1/a2 = b1/b2 = c1/c2   

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ху %3D ...

A: topic - implicit differentiation

Q: Evaluate the indefinite integral. S(4Vx- 6x³)dx , and • Identify what is the u=? and du=? Show the c...

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Q: Use any method to determine whether the series converge. 17 (a) 2 El Vk +1 This series diverges. cos...

A: We have to determine whether the series converges

Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: FUNCTIONS NAME: PARRO, YSA mHE uT. GRADE & SECTION: - HUM SS 7 TEACHER: -DATE: 09 22/21 SCORE: LEARN...

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Q: Correct. Use the limit comparison test to determine whether the series converges. 4 5k. + 1 k=1 The ...

A: The given series is summation of 4/(5k+1); k from 1 to infinity.

Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the r...

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Q: 5. Ollivanders is a wand shop for wizards in Hogwarts. It has been estimated that when x wands are p...

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Q: Let A(f) = 500(1.07) represent the amount of money, in dollars, in an account i years after the year...

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Q: Evaluate (x+1)2 In3x dx Then, write the coefficient of the integral: Blank 1(*+1) ³ In3x + Blank 2 x...

A: topic - indefinite integral

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: biz' dt 2

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Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225

Q: Find the function value at first derivative 1. if f'(x) = (x* - 2)(x* - 5) find f(-1) 2. if f(x) = f...

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Q: Simplify the expression without using a calculator. log0.00001 =

A: This question is based on properties of logarithm.