0.5 x° tan- (x2) dx –1

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Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

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Q: x=r +1, y=r -t uation of the tangent to the curve at tl Show all your work.

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Q: f(r) = x – 8r2 Find • The critical points. • The interval where f increases and decreases. The…

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Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – in [-1,4] is: 4.5, 4…

A: We have to find out the maximum and minimum value

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Q: 3. Two sides of a triangle are 5 and 10 inches, respectively. The angle between them is increasing…

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Q: Sx² e**dx 1.

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Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – 5 in [-1,4] is: -4.5,…

A: Find your answer below

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Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

A: The expression for the centroid is: x¯=1A∬xdydx & y¯=1A∬ydydx   Where; Area=A=∬dydx   From the…

Q: Write the system of equations that corresponds to the augmented matrix. Use xx, yy, and zz for the…

A: Refrence Example: System of equations into augmented matrix

Q: Evaluate: (- Vy + + 10 )dx 10 5.) y4

A: Note: Since the student has made an typing error by writting "x" as integral variable but the…

Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: x = r° +1, y=r² -t a) Find dy/dx Show all your work.

A: x =f(t)dxdt=f'(t)   y=g(t)dydt=g'(t)Then,dydx=dydtdxdt =g'(t)f'(t)

Q: 3. Solve the equation cosh 2x + cosh x = 5 , giving x to three dec. places.

A: We have to find value of x for given Equation.

Q: Consider the parametric equations: x = 2t2, y =t³. Find at the point t = dx? 8 without eliminating…

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Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

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Q: Which of the following surfaces cannot be described by setting a spherical variable equal to a…

A: Here, note that the cartesian to spherical coordinates conversion is given by: x=ρsin ϕcos θy=ρsin…

Q: [sin 3xsin 2x dx 3.

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Q: lim 2 + 9x° (1 + x ) ( 3 + x* )

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

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Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1

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A: We have to find integral

Q: Evaluate the following integrals: 3 tan°x dx 1.

A: We have to evaluate the integral ∫tan3x dx.

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Q: A large company has installed new robotic equipment in its assembly areas. This new equipment…

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Q: Find the slope of the line 5x- 3y-1=0 O a. 5 O b. 5/3 O c. 3 3/5

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Q: Find fo° f(x) dx if S2 for x 2. f(x) =

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Q: The x-intercepts of y = x2-4x-5 are: O a. (-5,0) and (1,0) O b. None O c. (-5,0) and (-1,0) O d.…

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Given that one model for the spread of a rumor is that the rate of spread is proportional to the…

Q: Evaluate the integral: cos(In x)dx SHOW WORK.

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Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

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Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: Line L is perpendicular to the line 5x+2y-4=0. Find the slope of line L O a. 5/2 O b. -2/5 O c. 2/5…

A: We will use the concept If y=mx+c  is equation of line. Than m is slop of line.   If m1 and m2 are…

Q: y 6 4 3 2 -4 4 5 -2 -1 -1- 12 3 Find the value of the indicated quantity if it exists. lim f(x) 1.…

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Q: Use the graphing utility to plot the graphs of y = cos (x) and y = 2x. (Enter multiple functions of…

A: We will graph the functions.

Q: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

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Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

Q: y = (x-p)(x-r) and p+r=6. Find the x coordinate of the vertex of the parabola. O a. None O b. 6 O c.…

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Q: а. 1 b. 5 с. -1 d. 2 2. S(x) = 3x² %3D а. 3 b. 2 с. 6 d. 12

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Q: 4. Calculate the area of the bounded region x= y+3 y=3 x= 1 1112 A. 52/3 (. 32/3 B. 8/3 D. 15/3

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