At what point (x, y) is the function f(x) = -8x - 8 closest to the origin? Enter an exact answer. Provide your answer below:

Q: 9. lim 818 4x + 3 5x − 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: We need to find y' and y''

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A: Increasing Function:  If f(x) is a function, and x1 and x2 are any points in the domain such that x1…

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A: Given:      sinx2+y2=1⇒x2+y2=sin-1(1)⇒x2+y2=π2+2πn⇒x2+y2=π24+2π2n+4π2n2

Q: 1. Evaluate the following integrals: b. I sin(4x) cos² (3x) dx

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Q: Problem 8. Write out five terms of the sequence bn approximate the logarithm terms using a…

A: Given; bn=ln(1+2en)/n

Q: SHOW COMPLETE SOLUTION Find the points of intersection between the circle (x-2)²+(y-6)² = 40 and…

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Q: At what point (x, y) is the function f(x) = -4x - 9 closest to the point (3, 1)? Enter an exact…

A: To determine the point on the function which is closest to (3, 1)

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A: We have to find the rate of change of cost, revenue and profit.

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

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Q: 33-41 Use logarithmic differentiation to find the derivative of the function. 33. y = (2x + 1)³(x² −…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (d) Give one example to illustrate that vectors satisfy the triangle inequality. Justify your…

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Q: Let f be a function defined on [15, 23]. Suppose for every x ≤ (15, 23) d da If f(16) = 44, find the…

A: We  know By definition of derivative  in interval a,b⇒f'x=limx→afx-fax-a

Q: Prove or give a counterexample: Given x > 0. If x is irrational, then √x is irrational.

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Q: Give the standard equation of the circle satisfying the given condition. a. Contains the point(-2,0)…

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Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 2x² + 4y² = 24

A: To find the maximum and minimum values of the function fx, y=x2y subject to 2x2+4y2=24.

Q: can you make a handwritten solution ?

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Q: Find the absolute maximum and minimum, either exiSIS, f(x)=2x³-30x² +54x+14 (A) [-2, 12] (B) [-2,9]…

A: Find critical points

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A: Given query is to find the semiannual payment.

Q: Find y' if x = y*. C Note: Leave your answer in terms of ï and y. y

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Q: Perform the subtraction. E4816-C8416 E4816-C841616 (Simplify your answer.)

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Q: If ƒ(x) = (x² + 4x + 5)², then f'(x) = 4x³ + 24x² +52x + 40 f'(2) =

A: Given f(x)=(x²+4x+5)²

Q: Consider two nonnegative numbers x and y where x + y = 13. What is the minimum value of 2x² + 12y?…

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Q: Let Ġ(x, y) = (x², y). Calculate the flux of G across the line segment from (0, 0) to (1, − 2).

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Q: 2. (a) Draw the graph of f(x) = = 2x x 0 (b) Find lim f(x) and lim f(x) or explain why they do not…

A: follow next step

Q: Evaluate the following integral in spherical coordinates. 2 /4 4 csco 2 SS S p² sin o dp do de Ο π/6…

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Q: how do we know xi = 1 + 2i/n

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

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Q: (c) Let F(x, y, z) = x 3 i + y 3 j + z 3k. Compute the following: (i) ∇ · F (ii) ∇ × F

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Q: BC cuts the x-axis at D. E is a point on AC such that BA // DE. Given points A(-4,8), B(5,2),…

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

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Q: Find the following using the table below. X 1 2 3 4 f(x) 13 2 4 f'(x) 1 3 4 2 g(x) 2 4 3 1 g'(x) 2 3…

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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: Question 6 Which of the following techniques is best to use to evaluate the given integral? A e 3+e…

A: Given, ∫ex3+e2xdx

Q: Consider U₂ x²y dA, where R is the region bounded by 0 ≤ x ≤ 2, x ≤ y ≤ 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: Find f′(x) and simplify.   ​f(x)=1/(x+35)  f'(x)= .....?

A: Differentiate wrt x

Q: 35-40 Find the horizontal and vertical asymptotes of each curve. You may want to use a graphing…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x.  f(x)= 17e^x…

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Q: Find an appropriate change of variables (and then use it) to evaluate 1/₁₂ (x + y)² ex²-y² dx dy R…

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Q: Find the solution of the given initial value problem. ydx + x(ln x - ln y - 1)dy = 0 y(1) = e.

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Q: A function contains the following ordered pairs. ((0, -8), (1, -6), (3, -2), (4, 0), (5, 2)) Which…

A: To find the function: Find a general rule satisfied by all the elements .

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-7,5) for…

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Q: a. Find a curve with a positive derivative through the point (1,1) whose length integral is given…

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Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

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Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for =…

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Q: Initially an 800 gallon tank contains 400 gallons of water in which is dissolved 50 lbs of salt.…

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