y = ln(5t³ - 6) y = ln(4- 3x²)

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Q: Due Math 31 Chapter 9 Review Assignment 1. Verify y(x)=c, sin x + c₂ cos x-(cos x)In(secx + tan x)…

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Q: 2x + 1 < 5

A: 2x+1&lt;5

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Q: the region of integration. 5 /In(x) L³I" 1 Jo f(x, y) dy dx

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Q: Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

A: we need to find out the partial derivatives.

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A: We will find the value of acceleration.

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Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

A: Question No. 1: To verify that  is a solution to .Note: Since the student has posted multiple…

Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

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Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5^x2+7x−4

A: To find the average rate of change of the given function on the interval .

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Q: 1. Evaluate each 2-variable function f : D → R below at the given points. For a point described with…

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Q: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

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A: Given, 9cos(x)sin(y)=1.we know,

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Q: Problem 4 Let z be an independent variable and let y be a dependent variable with respect to . For…

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Q: Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down…

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Q: For the demand function q = D(p)=√√450- p, find the following. a) The elasticity b) The elasticity…

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Q: Suppose the demand for a product is given by D(p) = −4p + 111. A) Calculate the elasticity of demand…

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Q: Differentiate the function. f(x) = log,(xe*) F'(x) =

A: Consider the function Formulas

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: Match each scatterplot shown below with one of the four specified correlations. O O 00 %%0 O 08 Ⓡ 0%…

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Q: Use implicit differentiation to find 있으 9 sin (xy) = 8x + 5y = dy dx

A: we need to find out the derivative of the given function.

Q: 2 L² L² Te Write your answer in exact form. Find xe+3dydx

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Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

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Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x²…

A: Remainder Theorem:If a polynomial p(x) is divided by the binomial x−a,the remainder obtained is…

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A: From the given limit it is clear that the limit exist.Limit exists when left-hand side limit is…

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A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

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A: Equation of elliptic parabolid z=3+3x2+2y2Equation of planes x=2 and y=4

Q: nction f(x) = (2x-1, x ≤ 1 x², x>1 2 for all x. . tinuous and differentiable for all x. 2x for all…

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Q: 1.Find all critical points, extreme values ​​of the following function. f(x) = x^2 + x with I = [−2,…

A: To find all critical points, extreme values ​​of the following function.

Q: 2. Determine d (sin-¹(x²-1)). dx Simplify your answer as much as possible.

A: Consider the function

Q: Differentiate. f(x) = In f'(x) = x-10 X

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Q: 3. Find the equation of the parabola with axis of symmetry y = 4, and passing through (9, 10) and…

A: Question no. 3:To find the equation of the parabola with axis of symmetry , and passing through…

Q: Compute the value of the improper integral. (If the integral diverges to ∞o, type oo; if the…

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Q: Use the determinant to compute the area of the parallelogram induced by the following two vectors:…

A: Using determinant, we can find the area.

Q: Differentiate. g(x) = log 29 (5x-4) g'(x) =

A: To differentiate the following function.

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Q: y-values 8 7 6 3 2 1 If f(x) f'(2) = - g(x) h(x) ' g(x) 2 3 x-values then Ou y-values 5 4 1 h(x) 2 3…

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Q: Find the derivative of the following function. y = csc ²0-4 dy 11 ***

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Q: Write a fraction to represent the shaded portion. Need Help? Read It

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Q: (a) Let f(x) = arcsin(x). Compute the following quantities. f(1/2) = Number f'(1/2) = Number (b) Let…

A: (a) f(x)=arcsin⁡(x)