Convert the integral below to polar coordinates and evaluate the integral. 3/√√/2 •√√9-y² Si 0 xy dx dy

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Q: Make a sign diagram for the derivative of the rational function. 8 x² + 2x - 3 f(x) = --Select---…

A: The given rational function is  f(x)=8x2+2x-3

Q: Calculator may be used to determine the final numeric value, but show all steps in solving without a…

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Q: log7 (x + 2) + log7 (x - 4) = 1

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Q: Consider the function f(x) solution, enter your answer as a comma-separated list (like "1, 3"). You…

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Q: Evaluate So 1 y=x²/3 xe dy dx

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Q: If log5 (log₂ (log3 x)) = 0 then x equals O (A) 0 O (B) 9 O (C) 5 O (D) none of the other answers is…

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Q: The drink booth at the school fair had these 4 types of drinks: root beer, ice tea, lemonade, and…

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Q: Sec (30) (08300 8. You lean a 20 foot ladder is leaning against a wall so you can replace a burned…

A: Given query is to find the rate of change of the top of the ladder.

Q: c) Describe the set of all 7. For a function f:A → B, the statement "f is surjective" is defined by…

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Q: Find the minimum and maximum values of f(x) = x+2 on the interval [9, 10] by comparing values at the…

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Q: To test this series for convergence n=1 n nô +2 You could use the Limit Comparison Test, comparing…

A: The given series is n/[sqrt(n6)+2], n from 1 to infinity.

Q: 4. y' - (3+anx)y = 1

A: need to find out the general solution of the differential equation.

Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2…

A: Given Data : Two curves are given as, z=x2+y2 6 x2+4 y2+5 z2=30.   Required : We have to find…

Q: dx √ ₁ (1-x²7/01/2 0

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Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

Q: 1. Evaluate the given integral [(4x³ - 3√x)dx 3 12x² O a. 3 2√x O C. 2 3 1 x ² = ² x ² + c - C 3 + C…

A: Topic = Integration Correct option = b

Q: Find y" for y = -2(x²+6)3 y" = x

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Write the sum using sigma notation: cos(4) + cos(13) + cos(22) + cos(31) + ... = n=0

A: Let's write the sum using Sigma notation.

Q: ['yes' dy. Ans. (1 - ¹).

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Q: Find the equation of the tangent line to the curve y = 2 sina at the point (7,1). The equation of…

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Q: Use concepts learned in this module to complete this problem set: particle motion, applications…

A: Solve for the limit

Q: 5 The gain of an amplifier is found to be G= 20 log (10V out) The tasks are to find equations for:…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. ₁x²(x³ + 8)² dx

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Q: The graph of a function f is shown below. 1 Suppose the function g is defined as g(x) f(x) =, we'll…

A: Note: - According to the company policy we can attempt only three subparts of a question so please…

Q: 2. Solve the following integral (secx - tan x) secx dx O a. tanx + secx + C O b. secx - tanx + C O…

A: Solve the intregal

Q: 3x

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Q: Why do you add pi and subtract by (x) in step 2? Where does the pi come from? How does the integral…

A: we can solve the integral.

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

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Q: Find the short test distanse between the two curves y = Sinx ² and x² + y² where the interset 2…

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Q: Use Fubini's Theorem to evaluate the double integral ſƒ ƒ(x, y) dA, where f(x, y) = 8x² − 4x²y²-y…

A: Answer: The solution is given below:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 0…

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Q: If a rock is dropped from a height of 164 ft, its poistion t seconds after it is dropped until hits…

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Q: Which statement regarding these polynomials and their zeros is true? - ○f(x) = (x² − 1) (x + a) has…

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Q: Find dy/dx where: tan (x+y)=cos x+cos y

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Q: (16x+ 54-6) dx + (3x +y -1) dy =0

A: To solve the following differential equation.16x+5y-6 dx+3x+y-1 dy=0

Q: 1 for convergence, you 6k8 + 8k¹2 k = 1 will use the Limit Comparison Test, comparing it to the p 1…

A: soution:-∑k=1∞16k8+8k12ak=16k8+8k12Limit Comparison Test using the P series ∑k=1∞1 8kP where…

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A: We have to find max value of function

Q: (a) y = f(x) A 0 16 32 48 (c) 16 16 F f(x) dx Enter an exact number. 40 (b) 0 F(x) dx 56 1.56 f(x)…

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Q: Evaluate the integral. 5 dx 1 (x² - 1)3/2 0.134080 X

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Q: a) Interval(s) where f(x) is increasing: b) Interval(s) where f(x) is decreasing: The value(s) of a…

A: according to our guidelines we can solve only first four questionsplease upload remaining…

Q: (d) lim x-0 1-3 cos x x²-2

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Q: A bank features a savings account that has an annual percentage rate of r = 3.4% with interest…

A: Topic - compound interest  We are given, P: present value =11500r: annual percentage rate=3.4%t:…

Q: Use the steps to curve sketching to graph the following functions 3.) f(x)=x²-12x+36

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Q: Find the maximum and minimum values of the function g(0) = 30 - 4 sin(0) on the interval [0, π]…

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Q: 60. Show that the curve y = 1 + x 1+x² has three points of inflection and they all lie on one…

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Q: No partial credit will be awarded for any part containing error. Express each of the following in…

A: Given; 1) sqrt(28) 2) sqrt(32) 3) sqrt(50) 4) sqrt(52) 5) sqrt(80) 6) sqrt(108)