What is ? arccotx d dx (arctanæ) -1 1 – x² 1 1 - x² -1 1 + x² 1 1+x²

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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: Assume f(x) = arcsin (g(x)) fg(3) 01/0 O O 0 2 01/1/20 1 and (3) #2, what is f'(3)?

A: To find the derivative with respect to x.

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Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

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Q: 7) What value of N(x, y) will make the differential equation (3r2y +422)dr + N(x,y)dy = 0 exact? a)…

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Q: weekly number of pounds of acetate fibers that can be produced is given by the function: z = f(x, y)…

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Q: 19) Determine a particular solution of NHLDE (3D³-2D2-3D+2)y=10 b) Up = 5 10 3 d) p 10

A: Given differential equation ( 3D3 - 2D2 - 3D + 2 )y = 10 as we know that yp = perticular solution

Q: f(t) = e-2t sin³ 3t

A: Solved below

Q: Evaluate the line integral, where C is the given curve. 2 xeyz ds, C is the line segment from (0, 0,…

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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: For the function f(x) = 5x - 5x, evaluate and simplify. f(x +h)-f(x) h

A: Given query is to perform indicated operation m

Q: Question 6 Next Question > Consider the function f(x) = 8x8 + 7x7 - 7x¹ - 6. Enter the…

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Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

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Q: Simplify the following expression: O sin²(u) O 1 - sec²(u) O sin(u) O cos² (u) Ⓒ 1 - cos(u) cos(u)…

A: formula used is  secu=1cosusin2u+cos2u=1

Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

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Q: the demand for a product is $14 and the total costs are C(x)=0.2x2+6.4x+2. What is the maximum value…

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Q: Which of the following can be evaluated using u-substitution with u = ln x? [H ln x O dx O None of…

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Q: Which of the following is the linear approximation of f(x) = sin x at x = ? OL(x) 1 OL(x) = x OL(x)…

A: Given f( x )= sinx at x = π2linear approximation L( x ) = f( a ) + ( x - a )f'( a )

Q: Given the following equation of a circle in general form, find the equation in standard form by…

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Q: A graphing calculator is recommended. An oil refinery is located 1 km north of the north bank of a…

A: Let point PP be located 6 - x9−x km from the oil refinery (see diagram ).     Then the cost of…

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0=6 The…

A: in cartesian  coordinates  x=rcosθ  and  y=rsinθgiven  rsinθ=6

Q: DETAILS GHCOLALG12 1.5.018.MI. oriental rug is 5 feet longer than it is wide. If the diagonal of the…

A: Given query is to find the dimensions of the rug.

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: Inverse Laplace transform of 2S-5 2 + is s²+16 F(s) = f(t) = 2cos(4t)-5sin(4t)+t² دی Select one: O…

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Q: Which means the same as arctan ? Circle all that apply. cotan x 1 tan x -1 (tan x)-¹ tan¯¹(x) tan…

A: arctan x is the inverse of the trigonometric function tan x

Q: Let g(x) f*f f(t) dt, where fis the function whose graph is shown. 0 1 3 f 6 9 A. Find g(3) B. Find…

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Q: 1: Find dy if y³-4y² = x³ + 3x². dx 2: Find DPP 7 DERIVATIVE dy dx if sin y² - cos x² = cos y² + sin…

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Q: Set up the definite integral required to find the area of the region between the graph of y = x² y =…

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Q: Given the tables for f & g below, f(x) g(x) 8 5 0 X 0 1 2 3 4 5 6 7 8 9 7 6 5 3 1 9 2 4 c) f(g(7)) =…

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Q: 2. Find y' using implicit differentiation where x² + 4y² = 4

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Q: Over the next 20 years, a company projects its continuous flow of revenue to be R(x) = 80e0.05%…

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Q: Sketch the region enclosed by y = 72 and y = 62. Find the area of the region. Question Help: Video…

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Q: answer number three here please. I just need help with c

A: We have to find the upperbound.

Q: 8) Write the first 5 lines of Pascal's triangle. Use the triangle to find (2x+3)4.

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Q: INIL Find in sin (1 + 2x) + xy = ecosy dy dx

A: We need to find derivative.

Q: Question 11 Evaluate the definite integral. [ sin(2t)dt > Next Question

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Q: the limit using any method from this unit your work. 101sluple129T E tinU 2 lim f(x), f(x) (2x²-3x <…

A: To find the limit of given function

Q: For what values of h are the given vectors linearly dependent? 5 -20 -3 12 5 4 6 52 3 h Vectors are…

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Q: What is the purpose of implicit differentiation? To find dy/dx without having to solve for y To find…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 7x - 2x² and…

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Q: What is d dx 7x 3x O 102 sin z √2 - sint dt? O-3√2-Sin 3z - 7√2 – sin 77 O 3√2-sin 3x - 7V2 — sin 72…

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Q: Find 4 √₂ (4aº + 3a³) da -2

A: Given integral:- ∫-244x6+3x5dx

Q: 0 5. 21 ) Let A=[¹²] and B= [¹ Find AB. 13

A: Given query is to find Matrix product.

Q: Let C be the curve f(x) = the length of C, as follows: = In(x) 2 4 between 1 and x = e. Calculate…

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Q: (a) Eliminate the parameter and write the rectangular equation (b) Sketch the curve represented by…

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Q: en the graph below, solve the following inequality: g(r) > 0 +10 + 80 9 8 7 -8-7-6-5-4-3 54 6543 2…

A: Given query is to solve the inequality.

Q: Find the equation of the hyperbola with vertices (−3, 6) and (−3, −2) and foci (−3, 8) and (−3, −4).…

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Q: Find equations of the tangent lines to the curve y = In(x) I at the points (1,0) and (e, 2).

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