a. lim+ 2x 3x²

Q: The distance is (Type an exact answer, using radicals as needed.)

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Q: ) Find dw if w = xe³/², x = t², y = 1 — t, and z = dt 1 + 2t.

A: Topic:- application of derivatives

Q: Suppose each matrix below represents the augmented matrix for a system of linear equations. For…

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Q: f cos √2x dx

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Q: Find the critical points and sketch the graph

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Q: Given cost and price (demand) functions C(q) = 140q+47,300 and p(q) = -2.6q+800, what price should…

A: We need to find  revenue.

Q: Find L(tet sin 3t) CS Scanned with CamScanner

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Q: 7. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

A: Given

Q: find the derivatives: 1. y= (tan x)/ (1 + tan x)

A: Solution: 1. y= (tan x)/ (1 + tan x) y'=ddxtan x1+tan x

Q: 2 Brad wants to buy a coffee machine for his café. The advertised price is $3200 including GST. When…

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Q: 1 x² dx So √4-x²

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Q: f I. Evaluate tan 2x dx

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Q: Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 = ƒ'(2) = g'(2)…

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Q: Find dy dx If y = 1- t² and x = 4+²

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Q: Set up, but do not evaluate, the integral for the surface area of the solid obtained by 3x rotating…

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Q: 6. Evaluate the expression sin cos (77)) 11 tan sin (sin-¹ (²-3)) 13,

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Q: (D-3)³(D² +9)y=0

A: The answer is given below:

Q: f sin x ln(cos x) dx

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Q: 5. For z=x2siny show that 332 332 = дудхду дугдх

A: Topic = Derivative

Q: s, e -0.4 is

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Q: fx ax dx

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Q: 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x -x². 2 3 sorun oyng…

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Q: The function fis defined as f(x) = -7 3x²+2 Find f(x-5). Write your answer without parentheses, and…

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Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. The volume…

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Q: Solve the triangle. C≈ A≈ B≈ (Round to two decimal places as needed.) O (Round to one decimal place…

A: We have to find out the angle and side

Q: 1. (x + y − 1)dx + (2x + 2y + 1)dy = 0 -

A: Solved below.

Q: 16. tan²(x) + sec²(x) = 1 O True O False

A: Consider a right angled triangle.

Q: For each graph, choose the function that best describes it. (b) (a) (Choose one) (Choose one) (c)…

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Q: Solve the following problems showing detailed solutions.Draw the complete figures for each question.…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: 4) A spherical scoop of vanilla ice cream sits on top of a waffle cone. The diameter of the ice…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the definite integral. 3 -2 (8n-²-n-³) dn 3 -2 (8n-²-n-³) dn=[ 2 (Type an integer or a…

A: The detailed solution is given below Thank you

Q: Evaluate the geometric series or state that it diverges. 7² 7³ 12 12² Select the correct choice…

A: We have to find out the series sum

Q: 27777 Memo No. Date 1 Mo Tu We Th Fr Sa Su Solve the following 1)√(x² + 2x²) dx if (cosx - sinx) dx

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Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

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Q: Electric charge is distributed over the disk x² + y² ≤ 11 so that the charge density at (x,y) is…

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Q: 3. The vertical trapezoid plate shown is below is the end plate of a trough full of water. Write but…

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Q: Given cost and revenue functions and C(q) = 117q+44000 and R(q) = -3q² + 2700q, how many items must…

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Q: Find the volume of the solid generated by revolving about the y-axis the region bounded by the given…

A: First we should recognise the small volume dv and then integrate it between the appropriate limits.

Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: dx √x²-4x+13 S.

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Q: 5) (2,0°) -3 (4) 7) 4 ---22 -1 2 + 21 -1 D | x

A: We know that if r, θ is the polar coordinates then the rectangular coordinates is r cos θ, r sin θ.

Q: Find the area of the region in the first quadrant that is enclosed by the coordinate axes and the…

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Q: Find the relative extrema, determine if it is relative minima/maxima, and sketch the graph. 6. f(x)…

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Q: 10 = (+5x)dx 45x+9 -1 7/4 52 (+9) + 48 (x+g)' f(x+9) + 2

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Q: cosh z Let F(x) = 1. Find F(0). 2. Find F'(x). √x+1 sin(1-t) dt.

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Q: f sin x ln(cos x) dx

A: Our Aim is to evaluate the integral given below:-∫sin (x) ln cos x dx -(i)

Q: The two-dimensional Laplace equation, f(x,y)=-4x+2y-7 Find 2x² 22²4 for the given function. 2²1 2²²…

A: Given function f(x,y)=-4x+2y-7

Q: Find the derivative. f(x) = eº · 3x f’(x) =

A: topic- derivative of a function

Q: The graph of y=f(x) is shown. Draw the graph of y = -f(x). 17 Ex X 3

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