Evaluate the following integrals. Do not use formulas from the Integration Tables (section 7.6) (a) ftanx sec³x dx ▪

Q: Ә д х Find - 4.2xy

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Q: 1 3 2 1 q To find the blue shaded area above, we would calculate: b [* f(x)dx = area Where: a = f(x)…

A: Please see the below picture for detailed solution.

Q: Consider the following information. lim f (x) IIC lim g(x) IC (a) (b) (c) 6 Use the information to…

A: To evaluate the given limits of function

Q: Use the graph of f(x) to evaluate the following: 6 + 5 4 3 2 1 -1 f(x) 1 2 3 4 5 X Average rate of…

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Q: DIFFERENTIAL EQUATION | Eliminate the arbitrary constants. Show complete solution. y= x² + c₁e²x +…

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Q: 16) Let f(m)-0 be the auxiliary equation of f(D)y=0 with solution set equal to (-1,0,0,2), then…

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Q: Sketch the region enclosed by y = 2x and y = 6x². Find the area of the region.

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Q: Consider the given function and the given interval. 14x f(x) = (1+x²) 2¹ [0, 2] (a) Find the average…

A: According to question,Given Function,fx = 14x1+x22

Q: Given that ƒ(x) = x² − 8x and g(x) = x + 5, find: a) (fog)( − 1)= b) (gof)( − 1)=

A: Given query is to find indicated composite function.

Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: 13) Let f(x) = 4+4x x Compute f(x), f'(x), f'(x), f'''(x), f(iv) (x), f(v) (x) S f(), f'(), f), F"…

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Q: 1 1 If g'(4) = 4 and h'(4) = 18, find f'(4) for f(x) = 79(x) + 3h(x).

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Q: Textbook Find c> 0 such that the area of the region enclosed by the parabolas y = r² c² and y = c² -…

A: Given query is to find the value of c.

Q: ppose that x = f(y) is determined from the equation y = x + sin(3x) on a neighborhood of O. Find…

A: Given query is to find indicated derivative.

Q: Given the graph below, solve the following inequality: k(t) < 0 +10 +RVEY 9 8 7 6 5 4 3 2 1…

A: To solve the given inequality

Q: Evaluate limx-0 (2 sin x - sin 2x)/(x - sin x)

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Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: (-3,0) <++++ -10-9-8-7-6- -4-3-2-1 9 Provide your answer below: a 9 00 7 6+ 5+ 3+ 2- 1 -1 3₂ -3- in…

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Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

A: Solve the following

Q: Use Integration by Parts to find 2x tan-¹(x) dx. df O r² (tan(x)) — 2(tan-'(x)) +C O r² (tan-¹) +…

A: Integration by parts

Q: the answer is wrong it is supposed to be negative after x!!!

A: yes you are right   according to Taylors polynomials f(a)=f(a)+x-af'(a)+(x-a)22!f''(a)a=0

Q: on using a single vector function (including domain) of the following curves in R

A: we have to find parametrization for the given curve ;--   a linear path along  x - y =9  from (9,0)…

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

Q: Let C be the curve f(x) = = the length of C, as follows: (2) Show that √1+ f'(x)² In(x) 2 1 2x x 2 4…

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Q: DETAILS The velocity of a skydiver, in feet per second, t seconds after jumping out of an airplane,…

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Q: Find the matrix product AB, if it is defined. A = [56], B = [1 0-6 15 5 -18 12 OAB is undefined. °[…

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

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Q: Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t…

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Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: Find the critical point of the function f(x, y) = -2 - 7x - 8x² + 4y + y² This critical point is a:…

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Q: n-1 2)Let an = 2( 2 (²1) ¹²-¹ Write the first 5 terms of an. Σ ¹00 k=1 ak

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Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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Q: Find 5 [(7x³ + 3x³) dz

A: use the algebraic property of integrals.

Q: Differential equation: Families of Curves * w/ complete solution and sketch. Obtain the…

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Q: fa²√³-3 da: This can be transformed into a basic integral by letting Consider the indefinite…

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Q: Question 18 U= Consider the indefinite integral fesz +3 6x a) This can be transformed into a basic…

A: Solved below

Q: (From Briggs) 1. Without evaluating integrals, explain the following equalities. a. b. 7(8-2x) dx =…

A: We need to explain inequalities. As per Bartleby guidelines we can solve one question from multiple…

Q: Find the linear approximation to the equation f(x,y)=3√ at the point (4, 6, 6), and use it to…

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local Answer Separate…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

Q: List each of the mistakes in the following calculations: d a) [(cos z)] = x(cos x)²-1 da d b) [(cos…

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Q: Given the ellipse below, determine the coordinates of the two foci. Enter the coordinates as ordered…

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Q: Q8: Can you answer all the parts to this question, with the working showing clearly

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Q: Graph the ellipse given below by dragging the center, vertex, and co-vertex points to the correct…

A: To graph the ellipse given below with the center, vertex, and co‐vertex to the correct…

Q: Which of the following represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

Q: 6. Find a unit normal vector to the surface z = f(x, y) = xey - 2y at (0, 1, -1) and find an…

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Q: How to find min and max of a function using derivatives, explain process and why the process works?

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Q: Evaluate the indefinite integral. 4 (t + 12) 4 -dt Question Help: Video Submit Question Jump to + C

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Q: I Use Trigonometric Substitution to find the indefinite integral O None of these. In 3 +√9-2² - In|x…

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