Differentiate g(ar) = In (7 7-x g'(x) = 0

Q: Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G'(2) = 5, G(3) = 6, G'(3) = 2, find…

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Q: The demand function for a certain product is given by D(p) = O A. D'(p) = 2,790 +48p (12p+15)² -…

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Q: Differentiate. f(x) = In f'(x) = : 100

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Q: Find the present value of $4000 payable at the end of 2 years, if money may be invested at 6% with…

A: Given data

Q: Find an equation of the line tangent to the curve √xy+3y=200 at the point (1,64). An equation of the…

A: ......(1)Find the equation of the tangent line to the curve at the point

Q: Differentiate. g(t) = 14t g'(t) =

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Q: It is given to you that an equation of the tangent line to the graph of y= g(x) at x= 9 is 4x+10y=…

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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: 2. For what values of n does this integral converge or diverge? Show all evidentiary work for each…

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Q: 7x 1+2x 2+1 x_3+8 x_4+9x_5 = 69 9x 2+3 x 3+4x_4+4 x 5 = 54 4x 1 + 6 x 2+5 x_4+4 x 5 = 40 2x 1 + 10 x…

A: We solve the following system of linear equations using the Gauss-Jordan Elimination Method:

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: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x5 e-x (a) Find the…

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Q: At what point on the curve x² - y² + x² = 0 is the tangent line vertical? (a) (0,0) only (b) (-1,0)…

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Q: The velocity of a particle moving along a line is a function of time given by 79 t² + 12t + 27 v(t)…

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Q: Set up an integral for the area of the surface obtained by rotating the given curve about the…

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Q: A rectangle is inscribed in a semicircle of radius r = 16 as shown in the diagram below. 0 X y

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Q: Solve the differential equation dy (y¹⁰x) dx Use the initial condition y(1) = 5. Express y¹¹ in…

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Q: Find the value by writing the argument using the numbers 2 and 10 and using the values log 2 =…

A: The Logarithmic Formula is given as follows

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: Find the derivative of the function. y=e22x

A: Find the derivative of the function.y=e22x

Q: graph f(x - 4) - 5 below

A: given graph of f(x)graph f(x - 4) - 5

Q: For the demand function q = D(p) = 500 (p+1) ³' 3 find the following. a) The elasticity b) The…

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Q: a. Find all the intersection points of the following curves. b. Find the area of the entire region…

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Q: If a stone is thrown vertically upward from the surface of the moon with a velocity of 8 m/s, its…

A: Given that a stone is thrown vertically upward from the surface of the moon with a velocity of 8…

Q: 2. Does the following function satisfy the preconditions of the Mean Value Theorem on the given…

A: Mean value theorem states that for a continuous and differentiable function f(x) on the interval…

Q: A particle moves according to the equation of motion s = t5 - 10t³ + 18t, where s measured in meters…

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Q: ㅐㅍ 3 1/2 S (2+4C05(0)) ² do 2 싫어

A: To evaluate the following integral.

Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: d the derivative of :) = €5* (x² +9¹)

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Q: Differentiate. f(x) = 15x e f'(x) =

A: Given Function is as follows

Q: Evaluate the integral Scos³ 40 Sin 80 de

A: Given Indefinite integral as follows As we know that

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section 2x² -…

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Q: A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s…

A: A particle moves according to a law of motion .where t is measured in seconds and s in feet.(e) To…

Q: Find a particular solution to Yp y" - 2y + y = 8.5et t² + 1

A: y"-2y'+y=

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: An area to fence is of 37.5 million square feet in a rectangular field.

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: Find dy dy dx by implicit differentiation. tan(x - y) = = y 7+x²

A: Here to find implicit differentiation , we must differentiate both sides of the simplified form of…

Q: Let f(x) = x². There are two lines with positive slope that are tangent to the parabola and that…

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Q: ƒ(xº) and G(x) = (ƒ(x))º . 8 ow that a 13, f(a) = 2, f'(a) = 3, f'(a = = and G'(a)

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Q: The hyperbolic cosine function cosh x (pronounced ‘kosh’) is used to describe a catenary, the shape…

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Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

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Q: 1. Compute the area of the surface obtained by rotating the curve y = √1+ 2x, about the x-axis.…

A: The given curve equation is  ,

Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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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: 5. Recall that y = sec-¹x (with domain x ≥ 1) means sec y=x and 0 ≤y</2 or T ≤ y ≤ 37/2. Use…

A: To prove

Q: Determine the derivative of the following function with respect to a: 75 +¹rsin (r) 4,

A: f(x)=π5+π4xsin⁡(x)

Q: Find the area between the curves. y=x2 − 9x + 3  and  y=x2 + 9  from  x=0  to  x=6

A: The region between the curves  from The graph of region

Q: Find the exact length of the curve. x = et t₁ y = 4et/2, 0≤t≤4

A: Given, .Formula for length of curve is,

Q: Application of De A tank contains 1,200 liters of fresh water. Brine containing 0.2 kg/liter of salt…

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Q: -6 -5 -4 -3 -2 -1 6 5 4 3 2 1 0 -1 -2 3 A G -6 1 2 3 4 5 6

A: From the given graph