Find a formula for f-¹(x) and (ƒ−¹)'(x) if ƒ(x) = = √√: f-¹(x) = (ƒ-¹)'(x) = x-6

Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

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Q: The equation x-1/2=-2(y+4) represents the equation of the tangent line to the graph of g(x) when…

A: x-1/2=-2(y+4)

Q: A farm that grows apples determined that their daily cost during peak season was C(a)=3.75a+350 a is…

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Q: Solve the equation by using any method. Rationalize the denominator, if applicable. 7 12 8180…

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Q: Can we solve this without the Apply L'Hopital's rule.

A: Yes, we can solve this without using L'Hospital's rule.But we need some standard formula.

Q: 5 545 Slope = m 2 7 -7 -6 -5 -4 -3 -2 -² ₁ -3 4 -5 -6 Find the slope of the line. 3 4 5 6 a Enter…

A: The graph of a line is shown.First we will find two points on the graph that line crosses.From graph…

Q: conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high. If water…

A: A conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high.so r= 10ft…

Q: A. Prove that if r 1 is a real number, then for all integers n ≥ 1, 1-p+1 1-r 1+r+²+. ·+p².

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Q: Consider the function ƒ(x) = 7(x − 2)²/³. For this function there are two important intervals: (-∞,…

A: f(x)=7(x−2)2/3

Q: Let f(x) = x²e11x (a) Find the critical values of f(x). (Enter your answers as a comma-separated…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: y=xV1+x²

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Q: cos(x2) 2. Find the derivative of 2 +1

A: (2) y=2cos⁡(x2)ex+1

Q: 12/1 (6) Evaluate_lim (1-2)(72) = (A) - (B) -e¹4 818 (C) e-14 (D) 100⁰ DNE

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Q: 0 1 √ √(x²+2x+1) dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use partial fractions to find the inverse Laplace transform: F (s) = 1 S4-16

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Q: Suppose a and b are non-zero constants. Show that the polar equation r = a sin(0) + b cos(0)…

A: Using conversion of polar to rectangular coordinates we can find the centre and radius of the…

Q: Evaluate [2x-3dx. x³ + x

A: I=∫2x−3x3+xdx

Q: What value of c in the open interval (0, 16) satisfies the Mean Value Theorem for f(x)=√√15x+16?…

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Q: Let f(x, y) = sin(5x - 6y) Find the first and second partial derivatives of f. Evaluate f(x, π),…

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Q: Find the RREF of the matrix -4 1 -3 من که من 2 3 -1 4 -2 3 2

A: to find the row reduced echelon form of -4       31      - 1-3       42       - 23        2

Q: Evaluate dx 3x

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Q: Let r(x) = f(g(h(x))), where h(1) = 2, g(2) = 3, h'(1) = 5, g'(2) = 3, and f(3) = 6. Find r'(1).…

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Q: Given f(x)= x³ - 18x²+105x6, at which value(s) of x does the curve have a horizontal tangent? 04 05…

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Q: 1). Does the left-side limit of the difference quotient of the function g(w)=|w| exist at w=0? If it…

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Q: The position of an object moving along a straight line for t20 is given by 5₁ = t³+8, and the…

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Q: 1. An ordinary differential equation (ODE) is an equation that relates x, y (function of x) and the…

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Q: Find the derivative of the function. - (+)² +9 h'(t) = h(t):

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (2, 0)

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Q: Differentiate the function. f'(x) = f(x) = In(cos(x))

A: To differentiate the following function.

Q: X X+1 11

A: To evaluate the following integral.

Q: |zx − 8x|u[ = h (³)

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

Q: Find the slope of the line that goes through the points (6,-11) and (2,-13). Slope, m = Enter your…

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Q: *+ 16xy + y^: 4x³ + 16y = 0 4y³ + 16x = 0 x³ y = / 7313

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Q: 3. Find the angle subtended by an arc of length 15 ft in a circle of radius 7 ft. S = V ^ Wb

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Q: A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes…

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Q: Find ㅎㅎ dy by implicit differentiation. xey = x - y

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Q: (e) y = x ln[lnx]

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Q: Find the following derivatives. z and Z₁, where z = 5x + 5y, x= 4st, and y = 5s + 6t Zs (Type an…

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 50⁰ 0 3dx (25…

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Q: True or false and why? Explain. The linearization of f(x,y) = 5 + 7x + 3y at any point (a,b) is the…

A: To determine whether the following statement is true or false.The linearization of at any point is…

Q: Evaluate the integral using substitution method 5 So √x³ + 2x (3x² +2) dx

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Q: Given the graph of the function f(x) shown below, find the average rate of change of the function…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim arctan(e) x → 00

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Q: (c) Does the volume of the cylinder of part (b) increase or decrease as t increases? (a) Find V'(t).…

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Q: Vectors. v=i-2j+k, w= i +2j-3K a) Compute the length of V-W.

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Q: Are the vectors (1, 1, 1), (0, 1, 2), and (5,2,-1) coplanar?

A: To determine whether the vectors  are coplanar.

Q: A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude…

A: A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude…

Q: 6. §13.1. Q52. Sketch the level curve z = k for the specific values of k, where z = f(x, y) = y/x.…

A: given

Q: Find d2y/dx2 by implicit differentiation. x 3y3 − 4 = 0

A: The objective of the question is to evaluate the 2nd  derivative of the given function.

Q: (a) f(0) = ln(sin 0) + sin(ln €). (c) y = ln |x³ — x²| (b) f(x) = log₁0(1 + cos x) ax In (a + x) (d)…

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