Solve the equation. 1 27 3x4/5

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

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

Q: Find the derivative for each of the following inverse trig. functions. (a) dª arctan(7x) = dr (b)…

A: We know,

Q: Compute the derivative of the following function. f(x) = 5xe-5x f'(x) =

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

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…

Q: Solve for x. 3x = 22 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: 10. A 12m ladder is propped up against a wall. If the bottom of the ladder slides away from the wall…

A:

Q: Determine the interval(s) for which the function shown below is decreasing. -8-7-6-5-4-3-2 8 7. 6 y…

A: given graph of the function

Q: Solve the initial value problem [x²y" + 9xy' +12y = 120x¹ (x>0) [y(1) = 2, y' (1) = 28 given that {…

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Q: In 2005, a school population was 1708. By 2006 the population had grown to 1776. 1) How much did the…

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Q: Solve the differential equation. (t−8) s' +7(t−8)5s=t+8, t> 8

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Q: decays at a rate proportional to the amount present. You receive 1kg. After 80 days you have 250…

A: Let the present amount of substance be x Given that substance decays at a rate proportional to the…

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

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Q: Solve the separable differential equation for u du dt Use the following initial condition: u(0) =…

A: To solve the following separable differential equation for .

Q: e²t-e-2t Let h(t) = Find the e²t+e-2t horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

A:

Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

A:

Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

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

A: Consider the function

Q: Find the differential of each function. (a) y = dy U 44 U-4 (b) y = (1+r5)-2 dy =

A: Givena) b)

Q: 5. A = [ 2 3 -1 21]. B. = -4 2 13

A: A is matrix and B is also matrix

Q: Differentiate y = 7x³ +6

A:

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

A: Given,

Q: 1. Verify y(x) = c, sin x + c₂ cos x - (cos x) In(sec x + tan x) is a solution to y" + y = tanx. 2.…

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Q: Solve the absolute value equation for x. (Enter your answers as a comma-separated list. If there is…

A: To solve the following absolute value equation for .

Q: Use the special product formulas to perform the indicated operation. (x-4)(x + 4) Need Help? Watch…

A: Given (x-4)(x+4)

Q: Find the exact length of the curve. 36y² = (x² - 4)³, 2≤x≤6, y 20

A: Find the exact length of the curve.36y2=(x2−4)3,2≤x≤6,y≥0

Q: Use a linear approximation (or differentials) (32.03) 4/5 estimate the given number. (Round your…

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Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

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Q: Use the critical value method to solve the rational inequality. Write the solution set in interval…

A: Given rational inequation

Q: 1a: Find the values of a and b, if any, that make f(x) continuous everywhere. If no such values of a…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. √13n an =…

A: To determine whether the sequence  converge or diverge.To find the limit if the sequence is…

Q: Find f(x) if y = f(x) satisfies dy dx 108yx¹7 and the y-intercept of the curve y = f(x) is 4. f(x) =

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Q: same 3. Graph lines I and k line l: 2x + 4 = 0 line k; 2x + 5y = -15 (+ show at least 3…

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Q: Prove the statement using the ε, δ definition of a limit. lim x->2 (x^2-1)=3

A: =3

Q: Write an equation for a line perpendicular to y = 5x - 4 and passing through the point (10,-7) y=

A:

Q: Find the average value of the function h(x, y) = x³y² on the region bounded by f(x) = 2x + 2, g(x) =…

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Q: 3. ftan5 4x sec³ 4xdx.

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

Q: Find the points on the curve where the tangent pairs.) x=9-t², y = t³ - 12t (x, y) = horizontal…

A: Given, x =9-t2y = t3-12t

Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.08. y = √√3x - 2 Enter…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Differentiate y = 11x4 +3

A: given to find

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

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Q: Differentiate. dy dx In x y= 12 X ||

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

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 .

Q: Use the chain rule to find the derivative of 6√3x5 + 9x8 Type your answer without fractional or…

A:

Q: Calculate the determinant of A = [³] 55 det (A) = Number

A: Given, If , than

Q: Express the given equation into the exponential form and then solve for x. log2 (5x - 10) = 3

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Q: Let L be the line segment between (1, 2) and (4, -4). Find the area of the surface generated when L…

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Q: Evaluate the integral by reversing the order of integration. 4 64 ["h y 6e** dx dy

A: given integration

Q: Use the differential dy to approximate 4y when x changes from x = 2 to x = 1.96. y = X x² + 1 Enter…

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Q: K Evaluate the derivative of the function given below using a limit definition of the de f(x)=x² -…

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Q: 5. Solve the second-order equation xy" +2y' = 12x² by making the substitution u=y'..

A: