Find the length of the curve y = ln sin x from t = −2 to t = 0.

Q: Given the triangle below, find the value of angle A to the nearest degree. angle A = degrees 20 A b…

A: Topic:- trigonometry ratios in triangle

Q: Suppose that the function g is defined on the interval (-2, 2] as follows. 1 if-2<x<-1 0 if - 1<x<0…

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Q: Solve the system of differential equations. X1' = 3x₁1 - 1x2 X2': = 1x₁ + 5x2 - 11, x₂(0) = 7 x₁ (0)…

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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: If a force of 5lb produces a stretch of one-tenth the natural length L ft of a spring, how much work…

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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: 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: Fermat's theorem states that if f has a relative extremum and if f'(x) exists, then f'(c) = 0.…

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Q: 1. F(s) = 4s+2 s²+6s+34

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Q: . Given the triangle below, find the value of b to the nearest tenth. 33 1 b 110 6.2 units O 3.4…

A: We have to find the side

Q: A parabola has an equation of y - 3x = 0. Compute for the surface area of the solid generated by…

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Q: Evaluate the equation f Select one: a. 0.5 b. -1 Oc. 2 Qd. 1 dzdy

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Q: Completely factor and find the zeros of the function (x)=6x¹-11x³-51x² +99x - 27 Describe the…

A: To find the factors and zeros of the function.

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

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Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY: y= x^2+1, x=0, y=0, and x=2…

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: We have to calculate the area using left end right end and mid point methods.

Q: A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in at the rate…

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Q: 8. dx (4x2-24x-27)3/2 S

A: We need to evaluate integral.

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

A: topic- derivative of a function

Q: Given a surface z = 9x² - y². = (a) Find the volume of the solid lying under the surface and above…

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Q: The two-dimensional Laplace equation, f(x,y)= -9x-6y +4 2²f ax 2²f Find for the given function. 2²4…

A: The given function,  f(x,y)=-9x-6y+4

Q: 3x Evaluate x² +¹+e³ª)dx.

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Q: 3/ Find Value of integral ) dx 0 X+1

A: I am attaching image so that you understand each and every step.

Q: If zs² + yt²= 1 and 2²s+y³t = ry - 4, find 0x/0s, az/at, Əy/08, Əy/ot, at (x, y, s. t) = (1, -3,2,…

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Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: Consider the second-order differential equation + 25y = 4.5 sin(8t). d²y dt² Find the Particular…

A: The given problem is solved below in detail.

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x 2. f(x)=x²-3x³ + 3x²…

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Q: Convert each pair of polar coordinates to rectangular coordinates 1. (3, 225 degrees

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

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

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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: Given cost and price (demand) functions C(q) = 130q+47,900 and p(q) = -2.7q+800, what price should…

A: Given, cost function: C(q)=130q+47900 Demand function:p(q)=-2.7q+800

Q: A car leaves leaves the sa the first car at that insta

A: Here we have to find the rate at which the distance between the two cars is changing.

Q: From a certain instant, a right circular cylinder has a radius of 10 cm and altitude of 15 cm.  At…

A: This question is related to rate of change, we will solve it using given information.

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

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Q: What is the moment of inertia of the area in the first quadrant bounded by the curves y² = 4x,…

A: The given problem is solved below in detail.

Q: Let R be the region bounded by the graphs of y = r-1, y = 1-³ and the lines y = 3 and r = -1 as…

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Q: Use the Root Test to determine whether the series convergent or divergent. ∞ n² + 1 n 4n² + 5. n = 1…

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Q: For each graph below, state whether it represents a function. Graph 1 4 2- Function? Function? -2 O…

A: We have to check the function

Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

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

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Q: Find the critical points and sketch the graph

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Q: Find the half-life (in hours) of a radioactive substance that is reduced by 40 percent in 20 hours.…

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Q: open rectangular box with square base is to be made from 48 ft2 of material.  What dimensions will…

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

A: topic - equation of tangent line which is perpendicular to given line

Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume…

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Q: The functions f, g, and h are defined as follows. f(x) = −3+√x+19 g(x)=−3 |x-8| Find f(-3), g(6),…

A: Topic:- function

Q: √x³√1-x² 2

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Q: ROBLEM 1: True or False. You don't have to justify. O Let A and B be nxn matrices, then AB=BA. ) The…

A: Topic:-  calculus  Note :- as per our guideline if more than three subparts posted than only first…

Q: 9. Consider the region in Figure A. Its area may be found using flf(x) - g(x)]dx. The function g(x)…

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Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We know that Critical points are points where the function is defined and its derivative is zero or…