Find a formula for the inverse of the function g(x) Answer: g-¹(x) --- ex 5+2e

Q: For f(x) = 4x and g(x) = x6, find the following. (a) (f + g)(x) (b) (c) (d) (f- g)(x) (f. g)(x)…

A: as per our guidelines we can answer only 3 subparts of the given question,so kindly repost the…

Q: Transform the following equation of ellipse in standard form. 4x²-4y²-8x-8y-19 = 0

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Q: Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t) =…

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Q: Let a and b be constants in R. and If lim (f(x) - (ax + b)) = 0, what is the value of b? x→→∞0 b= =…

A: Solution to find the value of b  of this limiting problem is as follow.

Q: 9. Find f'(x) for the function f(x) = sin² (cos(4x)) 10. Find f'(x) for the following functions: a)…

A: Topic = Derivative

Q: Given that the acceleration vector is a (t) = (-4 cos(2t), -4 sin(2t), -4t). the initial velocity is…

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Q: 5. y = C₁еx + c₂xe* + c3e-x + 2x² ex; d³y d²y dy dx dx³ dx² +y-8ex=0

A: We can solve this as follows:

Q: Discussion Unit Write an example of a function whose derivative can be found by using the following…

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Q: When the height of a cylinder is 18 cm and the radius is 6 cm, the circumference of the cylinder is…

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Q: Find the solution of the initial value problem Y = Your answer should be a function of x. x² - y' y²…

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Q: The marginal profit for selling à Bronco souvenir hats is modeled by P'(x) = 7 -0.02x dollars.…

A: Given P'(x)= 7-0.02x  Ro find the profit.

Q: The slope of the curve y² = 5x-1 at the point P(1, 2). 54 b. a. c. ²/7 d.

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Q: For the function f(x) given in the table, find the average rate of change over each specified…

A: For the function f(x)  given in the table, find the average rate of change over each specified…

Q: According to a study, the probability that a smoker will quit smoking increases with the smoker's…

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Q: (Technology Permitted) The position of a particle moving on a horizontal line is given by…

A: We need to choose correct option.

Q: following exercises, assume that f(r) and g(x) are both differentiable functions with values as…

A: Given query is to find the derivative of the function.

Q: Question 7 For the given graph of the function f, on the left, sketch the graph of of f' on the…

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Q: Q2. Using cylindrical coordinates to find the volume of the region bounded below by the cone z =…

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Q: Q3. For the following matrices find x, y, z, and w, then check your solution. (2x + 5y)] 5y)] 2 6…

A: Need to find out the value of x, y, z, w.

Q: Evaluate lim (( z – 1 – I )/( z^2-2z+2))^2  z―›1+i A. ¼ B. -1/4 C. ½ D. -1/2 The answer here is b…

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Q: The graph of y = f(z) is shown in blue. Draw the graph of y = f(2), shown in red, by determining how…

A: Given Graph:-

Q: 126. Find h'(1) if h(x)= xf(x) + 4g(x). f(x) g(x) 128. Find h' (3) if h(x) = 2x + f(x)g(x). 127.…

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

Q: y = log₂ (sec 2")

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Q: he dollar cost of producing ?x bagels is ?(?)=300+0.25?−0.6(?1000)3.C(x)=300+0.25x−0.6(x1000)3.…

A: Topic = Algebra

Q: Evaluate the integral. 4u²-√u น du

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Q: Calculators may be used for the following questions. In right triangle AABC point A is moving along…

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Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy — dx = x³ + 2x MIX 3 == = 4…

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Q: Write the slope-intercept form of the equation of the line that has the given slope and y-intercept.…

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Q: (2) Compute the integral and then verify that you got the correct answer by differentiation. (a)…

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Q: -5 -4 -3 -2 T 00 7 6 10 5 4 3 2 1 O -2 -3 to -5 Y -6 -7 1 2 03 6 7 X

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Q: valuate the integral f √16- using trigonometric substitution.

A: we will find the required integral.

Q: (5) The arc of the parabola y = r² from (3,9) to (4, 16) is rotated about the y-axis. Find the area…

A: We have to find the surface area.

Q: Question Determine the intervals over which the function shown below is continuous. (Use a comma to…

A: A function is continuous in any interval it means it is continuous at every point of the interval…

Q: QUESTION 2 1 1 Express as a single logarithm:In([x+ 2]³) + — In(x) − − In([x² + 3x + 2]³²) - 3 2 2…

A: I am attaching image so that you understand each and every step.

Q: Use the table to evaluate the expression. f(g(2)) X f(x) g(x) 1 2 4 2 3 5 3 5 1 4 1 6 5 6 2 6 3 3

A: x 1 2 3 4 5 6 f(x) 2 3 5 1 6 3 g(x) 4 5 1 6 2 3

Q: What is f'(x) for f(x) = secxcscx? O sin²x-cos²x sin² x cos²x O sin x + cos x sin x cos x sin x cos…

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Q: 4. Ignacio wants to have 10,000 pesos at the end of 10 years. He decided to open a bank account that…

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Q: Find the line tangent to the curve f(x) = 2x³ - 8√x at the point where x = 4.

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Q: Find the complete solution: dy dx c and m are constants - my = cemx

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Q: Verify that the given point is on the curve. Find the lines that are a. tangent and b. normal to the…

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Q: 4-Evaluate sin-1 (-¹).

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Q: Find the derivative of the function Select one: O a. O b. O C. O d. 20 -6 20 20 - 20 x 4

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Q: PERIMETER A right triangle has one leg twice as long as the other. Find a function that models its…

A: Topic- Perimeter of triangle. we are given that Length of a right triangle has one leg twice as long…

Q: 20. शर dx = ± x2 + 3 + e±x,y = – 1 when x = 0

A: We have to solve the given differential equation.

Q: lim h0 x + h - Vx h

A: The answer is given below:

Q: Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the…

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Q: Simplify 9(4")x63-4 22n-2 to the lowest single base.

A: Simplify the given

Q: Given f(x) = 3x² – 5, use a table to estimate the slope of the tangent line to f at the point P(1,…

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Q: 1 5-Prove that cos (tan-¹ x) = √7X²' 1+x² -∞0 < x < ∞

A: The proof of the given inverse trigonometry problem is as follow.

Q: Find the average rate of change of the function f(x) = -x² − 8x - 12 on the interval - [−3, −3 + h].…

A: Average rate of change of change of f(x)  on [a, b] is  m=fb-fab-a