Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Solution is given below:

Q: Find the equation of tangent at x = In 5: ln 2x a) y = ²x + 1 e to :

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Consider the planes given by the equations − (x + 2y + 5z) = 1, - x=y+z= 4. (a) Find a vector…

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Q: Write a parameterization for the curve in the xy-plane that is a vertical line through the point…

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Q: 2. The limit of the following function equals: a. 0 b. 1 c. -1 d. None of the above answers x2/3 +…

A: See this solution in.

Q: 10. A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with…

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Q: Find ||u₁y|| if u = (2,5), v = (8,2). # 5 -X (Express numbers in exact form. Use symbolic notation…

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Q: 9. State the domain of [fogl(x) for f(x)=√x - 2 and g(x) = 3x.

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Q: Find the domain of the rational function.

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Q: a) Find the area of the region enclosed by the curve y=x²-2 and by the line y = 2. y=x²-2 y=2 Co

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.

Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

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Q: What is the range of the function shown? Y 1 1≤x≤3 1≤ y ≤3 -3 ≤x≤3 -3 ≤ y ≤ 3 I -2- 4

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Q: For each function below, find the derivative. DO NOT use decimals in your answers. If f(x) = 2x5…

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Q: 7. A traditional first experiment in a physics laboratory is to make 98 observations ab records the…

A: Given formula for linear regression is as below  take t as x and h as y. find mean value

Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

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Q: Sketch the vector field F(x, y) = xỉ + yj and calculate the line integral of F along the line…

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Q: 2x x > 3 y 10

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Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0 B.…

A: Topic:- application of integration and differential equations Note :- as per our guideline if more…

Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

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

Q: does the series  E infinity/n=1  2^n/3^n converge or diverge a)the series converges because its is…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: The graph of the function fx is The table for the function gx is

Q: Let A = (3, 4, 2), B = (-1, 4, 4), C = (-2,−1,0), and D = (2,−1, -2). Find the area of the…

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Q: 9. 54 = a¹

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Q: Write an equation for a rat Vertical asym Enclose numerators and de Include a multiplication sign…

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A: To find the slope of the secant line.

Q: Find an equation for the plane through the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2). The plane is

A: Find an equation for the plane trrough the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2) .

Q: 39. FONZOntar, aining the point (−3, 2) 61. Parallel to the line y = 4x; containing the point (-1,2)…

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Q: A cylindrical oil tank 8ft deep holds 380 gallons when filled to capacity. How many gallons remain…

A: We have to find the volume of tank.

Q: -5 -4 -3 -2 -1 O 3 2 1 7 -2 -3 -4 5 2 3 Write the domain of the function above using interval…

A: Domain is the set of  x-values for which function is defined.

Q: Evaluate the line integral F. dr where F = (3 sin x, 3 cos y, 10xz) and C is the path given by r(t)…

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Q: 2. How many terms are in the sequence? -20, -15, -10, ... 1115

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Q: y 10+ 8 6 4 2 2 6 8 100 10 X

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Q: a) Find the simplified form of the difference quotient for the function f(x) = 5x² – 3x. b) Complete…

A: We have to compute quotient difference in this question.

Q: City and Country Cycles finds that if it sells x racing bicycles per month, its costs will be C(x) =…

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Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

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Q: If f(x)=x²+4, find f(x +h)-f(x) and simplify. f(x+h)-f(x) =

A: Given query is to perform indicated function operation and simplify.

Q: Solve for a. 8. 9a = 16 - a² 9. 54 = a¹

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Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

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Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy y -y xy…

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Q: 3) Prove that : tan z = 올n(부를) In

A: To prove the given identity.

Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: Find the unit normal vector for the vector-valued function r(t)=(t^2-3t)i + (4t+1)j and evaluate it…

A: Given data:- Vector-valued function, rt=t2-3ti + 4t+1j Evaluate at t=2

Q: Find and simplify each of the following for f(x)=3x-6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x)…

A: Given query is to perform indicated function operations.

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem states that "for closed curve C enclosed a region R then the line integral along the…

Q: Differentiate. g(x) = 4x-9 5x+1 g'(x)= 3 + X

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Q: Sy < 1/3 x 1²x + 3 X y ≥ 2x 12 z -

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Q: The table represents f(x) and the graph represents function g(x). Which of the following could…

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Q: YA -3 x (a) If f is increasing on an interval, then the y-values of the points on the graph [rise…

A: Given graph of function is

Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

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Q: - Your answer is partially correct. A force is specified by the vector F = [(-170)i + (120)j +…

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