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Q: -g(x) = x¹/3 — x-2/3

A: g(x) = x1/3 -  x-2/3

Q: В (9,-8)

A: We know that the vector= Terminal point -initial point

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub a drinking cup…

A: Let’s solve this problem using calculus. Let’s say the radius of the cup is r and the height is h.…

Q: Calculate interval of convergence for series.

A: We use ratio test to find the interval of convergence.

Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: 1. Which of the following is NOT true about how f(x) = sin³¹(−4(x+6)) + 8 compares with its parent…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: We know that the volume formula int_a^b pi (f(x))^2 dx

Q: A plant with a mass of 10 kg is suspended from a ceiling by two lengths of rope that makes angles…

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Q: (i) [² sin(x) sin (cos(x)) dx 0

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. e³x √-3 da…

A: If the integral valu finite then the integral is convergence And integral valu not finite then…

Q: In the space below, solve the equation 5x-3=4x+1 Show your work

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Q: given fal = √√x-5 and 9(x) = x² + 4x + 2 Find Fog and g of

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Q: Sketch a graph of the function sin(x-45°) + 2. Please state the range.

A: Let f(x)=sin(x-45ο) + 2

Q: 2. For the vectors a = (1, 2, 3), b = (2, 1, 3), and c = (1, 1, 0), show that the following is true:…

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Q: In a particular city, taxicabs charge passengers $2.20 for entering a cab and then $0.50 for each…

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Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

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Q: (c) Use the Chain Rule to compute af s^3t^9 + 3s^3 t^12 + 2st Əs In (c) express your answer in terms…

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Q: he graph of f(x) = ax² +bx+c where a, b, and c are constants, passes through the (0,1) and is…

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Q: Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. L₁: x = 9 + 6t, y = 12 -…

A: We have to find that given lines are parallel interest or skew.

Q: PART III: Solve the following problems. 2. The sum of two positive numbers is 2. Find the smallest…

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Q: Determine the derivative of the following exponential function d. f(x)= 10* (sin sin x)

A: We have to find the derivatives of the function.

Q: A projectile is fired vertically upward into the air; its position (in feet) above the ground after…

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Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the double integral ∬(x^4)dA, where D is the top half of the disc with center the origin…

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Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

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Q: fees

A: Solving the problem

Q: ou want to earn 13% annual simple interest on an investment, how much should you pay for a note that…

A: We know that the formula A=p(1+rt)  Where A is an amount and  P= principal r= rate of interest  t=…

Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: S x cos(x) dx?

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Q: 7. Sketch the region and then use the disk/washer method to set up an integral to find the volume of…

A: To sketch the region and then by using the disk/washer method to set up an integral  to find the…

Q: (b) (i) Show that d dx\x+1 x 1 (1 + x)²

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

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Q: Find the area under the curve y - area = 6xe-* for x ≥ 3.

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Q: If a company has total costs C(x) = 40,000+ 15x + 0.2x2 and total revenues given by R(x) = 595x…

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Q: 5. Let f(x) = sin x cos x a) Determine the first derivative, and the second derivative. b) What is…

A: fx=sinxcosx

Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

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Q: for fage 5 f(x)=(74³-t²45) (15t+4) f(x)= (x²1)(x²2) 6²3)

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Q: The total number of acres of genetically modified crops grown worldwide from 1997 to 2003 was…

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Q: Use the formula (x) K(X) = = y = 3x4 = |f"(x)| [1 + (F'(x))²] ³ 3/2 to find the curvature.

A: y=3x4

Q: Which of the following is not a differential equation? d²y = 12 +2 O A. dt² O₂ B. O C. D. 4+y = 2x +…

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Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = [x(t) 3t² ly(t) = 10 + 1t =…

A: x(t)=3t2.......(i) y(t)=-10+t......(ii)

Q: a) Find the parametric equation of the line passing through the point (1, 5, -3) and parallel to the…

A: In this question, we can find parametric equation and value of k.

Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: Given: A solid is formed by revolving the region bounded on right by the graph of gy=7y and on the…

Q: Suppose that f(x) = 4x³ + 5x² + 4. Using the Intermediate Value Theorem, for what values of N is…

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Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: part d please

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Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.