L(25 — х?)3/2. |dx

Q: The results of an experimental drug trial to treat chronic stultitia are listed below. Women with…

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Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e4x dx %3D - In 2 1 +…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: 20 y = g(x) 10 0 20 35 stooral by interpreting it in terms of arosc X O

A: Area above x axis is positive area below x axis is negative

Q: Sketch the region whose area is given by the integral and evaluate it. Answer: 8 sin 0 Lote Lor r dr…

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Q: Consider the curve parameterized by x 3t2 3 and y 2t°. Find equations for all tangent lines to this…

A: Here we have to find the equation of tangent line.

Q: Fred the fick partiel dervatives of he Amikinan = Oce /2 ニ for fy f2

A: Explanation of the answer is as follows

Q: Solve the inequality R(x) <0, where x-3 R(x) = x(x-4)' function. 4- 2- , by using the graph of the 6…

A: Here we have to find the inequality by using the graph.

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = 2t3 where t is…

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Q: Evaluate the definite integral by interpreting it in terms of areas. 8 (4x - 24)dx stion

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Q: inverse laplace (7s-2)/(25-s^2)

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Q: 8x³ + 4xy - y³ = 1

A: Given :

Q: For the quadratic function f (x) = −2(x+1)2 +2, find the vertex, x−intercepts (if possible),…

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Q: 14) Find the mean value of the function y = 4 - x² on the interval [-1,2].

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Q: 4. x³ dx (x²+2)³

A: We have to calculate the given indefinite integral according to the given information

Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever…

A: Solution:

Q: Solve the following linear programming problem. Maximize: z = 3x+8y subject to: 6x + 5y ≤ 30 10x + y…

A: Objective function: z=3x+8y Constraints:  6x+5y≤3010x+y≤30x≥0, y≥0   Now we have to find the…

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: Using polar coordinates, evaluate the integral ff.sin( sin(x² + y²)dA where R is the region 16 ≤ x²…

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Q: Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) = . 2x+1_ f(x) * Answer:

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Q: Find the points on the curve where the tangent is vertical. x=1³-3t, y-t³-31²

A: First we find dy/dx

Q: Solve the differential equation y' = 6x³y² subject to the condition that y = .1 when x = 1. y(x) = =…

A: We have to find the solution

Q: Ultrasound is often used to make images of developing fetuses. In particular, by measuring the size…

A: Given query is to find the rate of change.

Q: QUESTION 11 Find an equation of the tangent line to the curve at the point corresponding to the…

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Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

A: Solve the following

Q: 1 1 0 Let A = 4-[4-4-7] and B= -61 1 1 Find BA if it is defined. Otherwise, click on "Undefined". BA…

A: The objective of the question is evaluate the matrix multiplication.

Q: 21 · 8* cos (8*) dx =

A: ∫21*8xcos(8x)dxSubstitute u=8x→dudx=ln(8)*8x→dx=1ln(8)*8xdu=21ln(8)∫cos(u)du

Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. y 20 y = g(x)…

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Q: 3. Explain the difference between a secant line and a tangent line. How do they relate to the rate…

A: A secant line joins two points on a curve. The slope of a secant line gives the average rate of…

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: Explanation of the answer is as follows

Q: 37. If R is the total resistance of three resistors, connected in par- allel, with resistances R1,…

A: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,…

Q: 2. The following function S-60,000e models the decay of sales for a give product over time in months…

A: we have to find out

Q: The gradient of f(x, y, z) = xy²z³ at the point (1, 2, 1) is

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Q: √1² +25 -2 I dt

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Q: · ln(1+x) a) dx f (1+x)7 u= du = b) f(2x + 1) tan-¹ √√x dx U= du = c) f x² sin(2x) dx U= du = dv =…

A: I have performed integration by parts for the part a) and for the rest I have mention the u and dv…

Q: Use the indicated methods to approximate the area under the curve f(x)=x²-1 on the interval [2, 5].…

A: Here we have to find the area.

Q: 3. A snowball is rolling down a hill, getting bigger as it goes. Assume the snowball remains a…

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Q: Consider the plane curve given by the parametric equations x = t² + 22t - 23 y = t² + 22t - 5 What…

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Q: 6. For each integral, state which trigonometric substitution you would use to integrate by…

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Q: The total cost (in dollars) of producing a golf clubs per day is given by the formula C(x) = 450 +…

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Q: Use the table below to answer questions 8 and 9. x 1-3 4 f(x) -3 1 -2 f'(x) 5 -1 6 g(x) 4 7 -3 g'(x)…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Find an equation for the tangent line to the curve parametrized by x = e³t sin(πt) and y = et at the…

A: answer is in next step

Q: Find the extreme value/s of f(x) = 4 sin² x − cos 2x on - (327 3π 5π " 2 2

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Q: Plot the curve c(t)=(2t−1,²+3). Then find the length of the curve for 1<t≤2 to two decimal places.

A: Curve is ploted and length of curve is obtained.

Q: Find the surface area when the curve C = {(x, y): 0 ≤ x ≤ 2, y² = 2 − x} about the x-axis.

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Q: Suppose F(x, y) = -y sin(x)i + cos(x)j. (a) Find a vector parametric equation for the parabola y =…

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