5. = Determine the equation of the tangent to the curve y x-coordinate 4. 5x 4 at the point with

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Q: 2. Find the limit of the following functions h. 3x² + 5x - 7 lim x-00 6x² + 2x² - 2x + 8,

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Q: Evaluate the integral. cos5 (23x) 1 sin³ (23x) dx

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Q: 3. Draw the graph of y = x² + 2 and the tangent line to this graph at x = −2.

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Q: Verify that the trigonometric equation is an identity. 2 2 2 2 2 cos ²α csc ²α- cos ²a sec ²α = -…

A: We need to prove that the given equation is identity.

Q: 6. Compute AB, BC, AC, and ACAB. 0 21 3 B 1 2 4 1 2 1 A - -- = = " 2 54 1 3

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Q: Consider the series k= 1. Calculate S₂ and S4 for this series. (Round to two decimal places.) 1 k→∞…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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Q: S√x-x√x dx ах

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Q: 1. Complete the following based on the graph of f(x). -10-8-6-4-2 81 6 4 2 -21 $ 66 -8 f(x) 2 4 6 8…

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Q: Find for each pair of functions. dy dt y=x²-7x, x= 1² +1 dy dt 11

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Q: The points (-2,-1,2), (1, -3, 12), and (-3, 3, 2) lle on a unique plane. Use linear algebra to find…

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Q: Graph the line with slope 1 and passing trought -1,-5

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Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - ∞ and ∞…

A: Introduction: the limit of a function is a fundamental concept in calculus and analysis concerning…

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Q: Find all the values of x where the tangent line is horizontal. 3 f(x)=2x +42x+270x+4 X= (Use a comma…

A: f(x)=2x3+42x2+270x+4for horizontal tangent line slope is zero slope=f'(x)dxndx=nxn-1

Q: Find the equation of the line tangent to the graph of f(x)=2x2+x−3 at x=−1.

A: I have appended the formula used in the solution part of the question

Q: Find the equation of the tangent plane to the surface z=cos(5x)cos(8y) at the point (2pi/2,pi/2,-1).…

A: given  z=cos(5x)cos(8y)   at point (2π2,π2,-1)equation of tangent plane of z=f(x,y) at (x0,y0,z0) is…

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Q: ion of a parabola given the vertex and the focus parabola with vertex (5,-5) and focus (7,-5).

A: Given vertex is (5,-5) and (7,-5)

Q: Write an equation for a sphere centered at the point (-4,2,-6) with radius 4.

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Q: sorry the 12/x and the 13/12sqrtx are fractions separated by the minus sign

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Q: alculate the limit for the function f(x) = 12 - 4x and interval [2, 6]. Verify your answer by using…

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Q: 3 At what point(s) on the graph of f(x) = x³ + 6x² + 18x + 15 is the slope of the tangent line 6?…

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Q: Let g(x) = (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter…

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Q: -3x The area of the region between the graph of y= e³x and the x-axis for x ≥ 2 is е

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: - 110 1 I 9

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Q: Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer…

A: Please see the below picture for detailed solution.

Q: 2) Evaluate the following: c) [(cos² t - e²t) In t]dt dt

A: To evaluate the following. ∫1xddtcos2 t-e2t lnt dt

Q: Solve the following initial value problem for r as a function of t. d²r dt² r(0) = 7i+4j+6k dr dt…

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Q: Fi(t) = | ¹(t)|* Recall T (t) =

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Q: b)[((sin² x) In(x² – 3x + 1)(tan−¹ x)) dx] -

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Q: d(A x B) dt. = A x dB dt d.A dt. X B

A: Please see the below picture for detailed solution.

Q: Consider the function f(x) = 3x³ 81x on the interval [-5, 4]. Find the absolute extrema for the…

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Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. (Round…

A: Given: Here,

Q: -3 8.5 -0 TH -$ 4 € 7 1 19- 1 M P La

A: From graph, In left side , graph is increasing.    Maximum value of f is is infinity.

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x² + y² - 4xy + 2, D =…

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Q: 10 =720+33x -0.062x² and R(x) = 35x respectively. Determine the rate at which the pany's average…

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Q: b) y 8 살

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Q: Determine the equation of the tangent to the curve y = √√5x - 4 at the point with x-coordinate 4.

A: Given Curve equation:- y=5x-4

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A: Here we have to find the limit.

Q: 24. If f is a differentiable function such that f(0) = -4 and f(5) = 5, then which of the following…

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Q: Sketch the solid whose volume is given by the iterated integral. 1 ff' (₁- (5-x-2y)dx dy Describe…

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Q: 4. Let f(x)= = x-1 x²-1' (i) State the domain of f. (ii) At which values of x does f have a…

A: Detailed solutions are given below.

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A: Here we have to find the volume.

Q: e If xe5y + y¹ sin(5x) = 4* defines y implicitly as a differentiable function of a the dy Note: Your…

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Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

A: Solution: y=5x ; x =25,  x = 36 so, f(x)=5x

Q: Sketch the region and find its area (if the area is finite). S = {(x, y) |x ≥-2,0 ≤ y ≤ 21e-2/2} 1 e…

A: Please find sketch and area of given reason in below step:-