S -6 √36-Lnx dx @ S₂ (6) x Secx dx Ln(secx+tanx

Q: Find the equation of the tangent line to f(x) = 4x² -5x+2 at (-1,11).

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Q: Consider the function f(x) = x 52+4 x + 1 a. Find the first derivative. f'(x) = b. List any critical…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: Given the function f(x) = −4 sin³ x, find ƒ'(x).

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Q: Evaluate functio J dx x² - 6x + 13

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Q: 17. tan (cos x)

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Q: Find y dx Please, expert, I do not have much money. Solve please 4.y=log10 (x4 + 3x² + 1) 5.y = log5…

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Q: This

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Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

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Q: Use interval notation to determine where f(x)>0. 2. Use interval notation to determine where f(x)>6.…

A: The objective is to use interval notation to determine where f(x)>0. 2 and use interval notation…

Q: If the substitution y = x is made, the integral - 1 64 2 3x³ 3+x² 3x³ 3 + x² .64 18x8 3 + x² S™ [²3…

A: The objective of the question is rewrite the integral  and choose the correct option.

Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

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Q: QUESTION 7 Evaluate the double integral. FS= 3xy 2 RX²+1 OA. 8 3 OB. 16ln (2) OC. 8ln (2) OD. 16 3…

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Q: The function f(x) has a domain of [-9, 9] and is plotted below such that the porti of the graph on…

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Q: Determine the type of function shown in the graph below.

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated by…

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Q: Find dy dx dy if y dx = x³ + 8x + 6 x² - 5

A: Given: y=x3+8x+6x2-5

Q: 57. Use the substitution u = x/3 to prove dx 1942=tan 1+0 www C 9+x² 3 3

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Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 1 -1 7 -1 -2 -3 -4 1 S.³…

A: Need to find out the definite integrals.

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: 3 3 3 2 (49) (+91 i- -74+ i n n n integral, that is provide a, b and f(x) in the expression f(x)dx.…

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Q: When the moon is exactly half full, the earth, moon, and sun form a right angle (see the figure). At…

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Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Please see the below picture for detailed solution.

Q: 53. y' - y = ex/y

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: The given sum is ∑i=164i+5

Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0 ≤ 0 <…

A: Given , The point P is located at (4,4) according to the graph (x,y)= (4,4) Formula for polar…

Q: Solve the differential equation [cos (2y) - 3x²y²] dx + [cos (2y) - 2x sin (2y) — 2x³y] dy = 0 - a.…

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Q: 2. How much money is needed to establish a fund that pays a research scholarship of $10,000 each…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: dy 44. -2,(-1,0) x-2

A: Given problem:- dydx=x-2x

Q: 2 -1 4 3 N у -1 1 2 X

A: Graph of the function is given, we have to find its domain and range

Q: The graph of y=f(x) is shown below. Find the values of f(x) for x=0,x=3 and x=6

A: Here we have to find the values of f(x).

Q: 5. S (2x+1) dx (x+4)6(x-3)6

A: ∫2x+1(x+4)6(x-3)6dx

Q: 2. Provide the exact value solution(s) for 2x² + 13x + 3 = 0

A: The given equation 2x2+13x+3=0 use the quadratic formula:   The quadratic equation is of the form…

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or-co, enter…

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Q: = { x + 15 X C(x) = if x < 100 if x ≥ 100

A: Topic:- function

Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: Express the polar coordinates 5, 11t 6 in Cartesian coordinates. What is the point in rectangular…

A: Given: Polar coordinates 5,-11π6

Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: Find the volume of the solid with the order dzdydx bounded by x2  + y2  = 4 and the planes x + z=2,…

A: Given x2+y2=4 x+z=2 x=0, y=0 and z=0

Q: 1. S(√t -√² + ³√³) dt

A: Solution:- Step:1                    1.         ∫(t -t23+t35 ) dt

Q: State the domain of the graphed function: -5 -5- 0 -5 -10- 5 10 15

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Q: cos² xy' = (1 + y²)

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Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - 00. n -£ (+ + -)…

A: The given sum is limn→∞∑i=1n4+in8n use the Riemann integral formula, limn→∞1n∑i=1nfin=∫01f(x)dx use…

Q: Given the function y = −2x√/2 - 4x, find dy in any form.

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Q: Determine the type of function shown in the graph below. a) Polynomial function

A: We are asked to determine the graph of the function

Q: 10. Which of the following is FALSE about the parabola for the function f(x) = (x + 2)² − 6 a) The…

A: The given parabola function fx=23x+22-6 The general parabola equation y=ax-h2+k where, h,k be the…

Q: Exercise. Find the curvature and the radius of curvature at any point. 2. R(t) = e²¹i + (t²-1)j 90#-…

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Q: A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 16…

A: solution of part A So the stone is 829 feet high 3 second later.

Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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