Find the equation of tangent line to the curve y = 2 - x 2 (7, ²/7). at the point (7, Express the equation of the tangent line in the form y = mx + b. Simplify completely, entering only reduced fractions.

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A: Given that fx=x+623a.find f'x=0 and solve x is a critical numbers.fx=x+623f'x=23x+6-13f'x=23x+613so,…

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Q: 2. J īdx 3 (x+2)+-(x+2)²

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Q: Use the table below to answer the following question. What does the number "10" in the lower right…

A: We have to choose correct option.

Q: 3x e 1-ezx dx

A: Given, ∫ e3x1-e2xdx

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A: To find the limit of following function

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A: We can find the required time as below.

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Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: 14. Given the function f(x) = 3x³ – 48x find the following: (Round to 1 decimal place) a) The x and…

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Q: Let f(x)=(3x(^2) -4x+5)(^100) -((2x+1)/(x-3))^5. Calculate df/dx

A: We can find the derivative as below.

Q: Question 1 Let a = 2i − 3j + 2k and b = i − 2j – k. - Determine whether the vectors a a) and b are…

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Q: Set up integrals To find the area of the regions between the curve of y=4 cos x and the x axis for 0…

A: The Solution is given below

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Q: f(x) = 5x 2x - 1 Español 1 Find f¹(x), where f¹ is the inverse off. Also state the domain and range…

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Q: The graph of the second derivative f" (x) is given below. On what interval(s) is the function f(x)…

A: Solution

Q: Consider the following graph on the interval ریہ 150 -120 -90 -60 - 150° < x < 90°: 1. What is the…

A: Solution :general equation of graph y=AtanBxperiod=45°--45°=90°=π2period =πBπB=π2B=2B=2y=Atan2x

Q: Evaluate the indefinite integral given below. Provide your answer below: f(-5x-3)³ dx = ¯ [(-5 (-5x…

A: The objective is to evaluate the integral.

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Q: Consider the given function, h(x) = 3x² - 15x+4. (a) State whether the graph of the parabola opens…

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 4) for…

A: The given function is f(x)=-5x+3 ln(x)

Q: Consider the function f(x)=√/2x-8 for the domain [4, co). Find f(x), where f¹ is the inverse of f.…

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Q: (2,-1,0), B(3, 0, -2), and C(0, -3,-1). ) Find the equation of the sphere with center C nd radius…

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Q: Evaluate the ff (show all steps) S COS (Inx) dx

A: See the details solution in below

Q: Match the equation with its graph. r(t) = cos(nt)i + sin(лt)j + t²k, Need Help? + 2 Z -2 Read It N₂…

A: Given problem:- r(t)=cos(πt)i+sin(πt)j+t2k  To find:- Draw the graph of given curve

Q: Use the cross product to find the area of the parallelogram whose vertices are (0,0,0) , (0,2,1),…

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Q: Part b: ( a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with density…

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Q: 3 Find a cubic function Y= ax²³²+ bx tcx td whose graph has horizontal tangents at the points (-2.4)…

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Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -1 f (x) 2 3 (a)…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² -…

A: In this question we have to find the absolute maximum and absolute minimum.

Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1,2,-2) are the three points in a 3D coordinates system. a)…

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Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution

Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral 8 x-6 So ²x+8 dx

A: Use fundamental theorem of calculus to evaluate the integral.

Q: (a) Find a vector equation and parametric equations for the line that passes through the point A(5,…

A: We have to find solution for given questions.

Q: Find the arc length of the curve below on the given interval. 3 1/3 3.5/3 y = 5x +9 on [1,27] The…

A: The given curve,    y=35x53-34x13+9 on 1,27

Q: (a) Find Maclaurin expansions for sin 2x, cos 2x and e³ up to and including the term in x³. I (b)…

A: Maclaurin Series for f(x) :       f(x)≈ f(0) +f'(0)x +f''(0)x22!+f'''(0)x33!+... Note : As per our…

Q: Switch the order of integration of the following integrals, then evaluate: ƒ ƒ x sin(y²) dydx = x=0…

A: Explained below

Q: O [-5, -1) U (1,6] O (-5,6] O [-5, 6] O (-5, -1] U [1, 6] Find the domain of r(t) = (ln(t + 5),…

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Q: Let A(t)=15(0.8)^0.2t (in milligrams) be the amount of drug in a patients body at time where t is…

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Q: Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

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