sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate sin ydy A cosy sin?ydy sinydy B 1- cosy 1- cosy cosydy O Sinydy + J cosysinydy E) None

Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact answe...

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Q: If f(2)=9 and f'(2)=2, estimate f(1.9).

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Q: Find the value(s) of a making i = 7ai – 33 parallel to w = a²i+3j.

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Q: B.Determine f (x) given that f'(x) = t* – t3 + t2 +t-1

A: We have to integrate the given function to calculate f(x). Integration of xⁿ = (x)n+1/n+1

Q: 4.. For the differential equation y'= 2x' +5 1 a. show that y=÷x* +5x+c is the general solution. b. ...

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Q: The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters fro...

A: Mass

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Evaluate the given integral, choose the answer in the box 1/(t-1) 2x S(-1)^5(x-1) -2/(x-1)^2 2/(t-1)...

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Q: Find the points on the graph of f(x, y) = (x + 1)y at which the tangent plane is horizontal. The poi...

A: Topic:- geometry

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: To find the units such that there is maximum profit for production level.

Q: solution

A: We will find a simplified integral. 

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) -7 -6 5 y = Questio...

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

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Q: d (a) dx 2 1 + x

A: Topic:- derivatives

Q: Find a formula for sn, n > 1, if sn is given by 4 5 7 8 8' 11' 14' 17 Sn =

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Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x – cos...

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Q: Q3 : Evaluate the following integral. x+V9-x2 xps

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Q: 2x2 x2 –1 and horizontal asymptotes of the given (7) Let f(x) = Find the vertical function. Show the...

A: For vertical asymptote Take f(x) tends to infinity.  For horizontal asymptote take x tends to infini...

Q: The equations for two planes are given below. a) Determine a possible value of k for which the plan...

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Q: Activity 3! Ve the following problems. 1. A city is of a circular shape. The area of the city is gro...

A: 1.Area of circular city;A=π r2differentiating w.r.t. r;dAdt=2πr drdtdAdt=2  mi2yearat r=15 mi2=2π(15...

Q: A rectangular box with a volume of 931 ft° is to be constructed with a square base and top. The cost...

A: Solution is given below:

Q: D) Find the parametric and symmetric equations of the line through the points(1, and (-5, 4, 2).

A: Given query is to find the equation of the line.  

Q: Consider the points A(1, –1, 2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). (a) Find the volume of th...

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Q: find all zeros of f(x)=x^3-5x-2 , please show work

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Q: Find the nine roots of -256 - j256√3 Give it's exact and approximate value And graph the roots in an...

A: Given expression is: -256-j2563. We have to find nine roots of the expression. 

Q: Set up a triple integral to find the mass of the solid tetrahedron bounded by the xy-plane, the yz-p...

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Q: 1.25 times ta

A: answer of given question is in step 2

Q: Evaluate the given integrals. 4. J(secx + tanх)? dx

A: Given problem:- ∫ (tan(x) +sec(x))2 dx   

Q: Test I. Choose the correct answer from the given choices. If the answer cannot be found from any of ...

A: In multiple question wr are only allowed to answer the first question and in multiple sub part we ar...

Q: 15. S (9z + 15z* – 8z° +2 + 4) dz 9.

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Q: function 16-x, x 22 а. 1 b. 2 . 3 d. 4 efer to item #15). What is the value of the right-hand limit?...

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 54x2/3 − 4x ...

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 v cos 40 d0

A: We can find the integral as below.

Q: Solve this problem on separate paper. Show all supporting work and include units on your solutions. ...

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Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about...

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Q: Let f(x) = 2x2 – 8x + 14 The slope of the tangent line to the graph of f(x) at the point (2, 6) is T...

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the ...

Q: P23.2. The population of Canada, as determined by the Canadian census, was as follows: year 2001 200...

A: t=year 2001 , X starts from 0.   X Y XY X2 Y2   0 30 0 0 900   5 31.6 158 25 998.56   10 33...

Q: Given the function f(a,9) = whose graph is shown belon. determine why the detnition of continuty at ...

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Q: x2sinx Find dy /dx %3D (1+x2)2V1+x

A: Given: y=x2sinx1+x221+x   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The...

Q: Question 1 Determine whether each series converges or diverges. Be sure to name the test 4n+1 (a) (i...

A: Since multiple questions are asked in multiple subparts. I am doing the first question only.

Q: 1: Find the area of the region bounded by the graphs of x = y², y = x + 3, y = -3 and y = 2.

A: The region is bounded by x=y2, y=x+3, y=-3 and y=2

Q: (2) Find the value of B (,-)

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Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

Q: Differentiate: -X-Cos y

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Label true or false if: 1. If f(x) is increasing and f(x) > 0 on the interval I, then g(x) = 1/(f(x)...

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 Cos 40 d0

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Q: Consider the following equations. F(x) = Vx + 5 g(x) = x + 5 %3D Sketch the region bounded by the gr...

A: Graph of the curves÷

Q: Find the area of the parallelogram that has u = i – 2j +k and v = 3j + 2k as adjacent sides. NOTE: E...

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Q: Use the method of variation of parameters to find a particular solution of the following differentia...

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