For what values of the numbers a and b does the function f(x) axebr² have the maximum value f(1) = 5? a = b = =

Q: Find the first partial derivatives of the function f(x, y) = 1. fx(x, y) 2. fy(x, y) = = 5x (x + y)²

A: The given function fx,y=5xx+y2 We have to find the first order partial derivatives.

Q: a. Solve the logarithmic equations. 1. log, 64 m 2. loggn=3 3. log, 4096 =3 4. 10g329=3 b. Study the…

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Q: above by the surface Tuery² and below bu

A: We have to find the volume by double integration according to the given information

Q: 5. Graph by converting to exponential form first. You must graph at least 3 points. y = log ₂(x+4)…

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Q: In the accompanying diagram, right triangles AOB and COD are inscribed in circle O, which has a…

A: Topic- Area of shaded region We are given  Right triangles AOB and COD are inscribed in circle O ,…

Q: (4) Determine if the alternating series converges ∞ Σ(-1)" sin t . n n=2

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Q: Given the vectors u=-i-3j and w=-7i+5j, find -4u and u-w. Write your answers in the form ai+bj.

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Q: 7. (a) Let f(x) = 5x5 + x¹ − 2x³ – 1. Explain why f is continuous on (-∞, ∞). (b) Show that f(x) has…

A: We know a polynomial function is continuous in the whole real number plane. If f(x) be a continuous…

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If ƒ(0) f'(0) = 3,…

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Q: Problem 1. 1 (a) 100 2²2² + +9 dx Explain why each of the following integrals is improper. 4 1 (b) ²…

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Q: 1. Determine the type of conic section that each general equation will produce. Show your solution.…

A: As per the rules, we are supposed to answer the first question and rest can be reposted.

Q: A 16cm wire is cut in half and each half bent into the shape of a square. One bigger one smaller.…

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Q: Given u(x, t) = t³e, compute: Uxx

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: figure:-

Q: 5. Find the equation of a parabola with vertex at the origin whose properties are given below. a.…

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Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal…

A: The given series, 12·3+23·4+34·5+45·6+56·7+.... We have to find the first five terms of the sequence…

Q: Let F(x, y) = (x + y, x²), and let 7(t) be the parameterization of the line segment from (0, 4) to…

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Q: If ƒ(6) = 7 and ƒ’(6) = 4, estimate ƒ(5.8). f(5.8) ~

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Q: Analyze the function f(x) = {. No 12 -10 if z < 6 +7 if x ≥ 6 √6 Your classmates may be analyzing…

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Q: 1. Evaluate the following integrals: 5/2 d. S3 1 1/2 2 2x -x -dx

A: The integral is  ∫1/25/2 12x3-x2dx

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.)  log(4x + 3)…

A: Use the basic property of log function.

Q: Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 4, 0≤ y ≤ In 8, 0≤z≤ In 16) with a…

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Q: 1. A laser beam is to be directed toward the center of the moon, but the beam strays 0.5° from its…

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Q: Determine the type of conic section that each general equation will produce. a.)x²+y²+8-4y-2=0…

A: To determine the type of conic section.

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x a = b =

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Q: Consider the following. e-10x = 2 (a) Find the exact solution of the exponential equation in terms…

A: As we know that lnem=m lne=m  as lne=1

Q: Problem 3. evaluating them. (a) 1₁ 1 (x - 3)³/2 dx Determine whether each integral is convergent or…

A: Note : I think question c is incorrectly printed

Q: Use implicit differentiation to find y′ for the equation below and then evaluate y′at the indicated…

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Q: O TRIGONOMETRIC IDENTITIES AND EQUATIONS Proving an identity using fundamental trigonometric…

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Q: Find the most general function M(x, y) so that the differential equation below is an exact…

A: Let's solve given diffential equation.

Q: 16. Determine lim f(x) if the given function is x→2 f(x) = x². 8-2x, if x 2

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Q: 6. Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

A: Note: According to our expert guidelines only one individual question is to be answered kindly…

Q: Find the curvature by using the formula k(t) = (a) r(t) = (e¹²¹)i +213 +4k at the point where t = 0…

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Q: What is the slope of the line tangent to the curve x² + y2 = 1 and parallel to the line y = - 2 ?…

A: Given query is to find the slope of the tangent line.

Q: Evaluate f(x) = 3 sin x + 5 cos at x = π/3. 1. f(π/3) = 4 4√3 2. f(π/3) 3. f(π/3) 3√3 4. f(π/3) =…

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Q: A small lake is stocked with a certain species of fish. The fish population is modeled by the…

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Q: Use the Quotient Rule to compute: ਹੈ y dy y+5æ

A: By Quotient Rule ∂∂xuv=v∂u∂x-u∂v∂v2

Q: 2) Solve the given Variable separable DE 1) x cos² y dx + tany dy =0

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Q: Given the integral below: I ffse f(x, y) dy dx (a) Carefully sketch and label the region that gives…

A: Let's sketch the given double integral and change the order of integration.

Q: Problem 2. f = Is the integral XT dx convergent or divergent? Hint: There is a test that allows you…

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Q: 1. What does it mean to say that a function is periodic?

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Q: For an as follows, write the sum an as a geometric series. a1 = 1 17 and an an + 1 = −17 for n ≥ 1 ∞…

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Q: A state lotto has a prize that pays $700 each week for 35 years. Find the total value of the prize:…

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Q: intervals on which the graph of f is concave​ upward, the intervals on which the graph of f is…

A: Given query is to find concavity of the graph and inflection points.

Q: Use Euler's method with step size 0.5 to compute the approximate y-values Y₁, V2, Y3 and Y4 of the…

A: Solution:

Q: (1) Use the Limit Comparison Test to determine if the series is convergent. η3 1 Σ+2 n=3 .

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Q: If r²y - 12y, calculate dy dr using implicit differentiation.

A: According to company rules.. I need to solve first question... Please repost second question

Q: Find the extreme values of the function and where they occur. None O Minimum value is at x = e¹/4;…

A: To find the extrem values of the following function and to determine where they occur.y=lnxx4

Q: 12 Find sin 2x, cos2x, and tan 2x if tanx = - 5 sin 2x cos 2x tan 2x 0 0 0 00 X and X terminates in…

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Q: 3 Directional derivatives Question 1: What are the directional derivatives of the following…

A: 3. Directional Derivatives: Question 1. fx, y=1x-2y along the direction u=1, -1 at the point 1, 2.…