s sin² (3x) cos³ (3x) dx Hint: cos²x = 1 - sin² x 07 sin²x = 1 - cos² x

Q: b) y= x(x-2)(x+1), y X

A: We have to find out

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A:

Q: The function f(x) is described by the graph below. 6 2- -1- -7 -6 -5 -4 -8 -2 -1 0 4 5 6 -1- -2- -3-…

A: Draw the tangent to the curve at x=1.5 & x=2 as shown:

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A:

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A: This is a problem related to vector field. Based on the formula and concept we will answer the…

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A:

Q: 5) y=-x(x²-4), Y A B C 4( C( ) B( ) )

A: we have to find the behaviour

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A:

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A:

Q: Evaluate the integral of the following using Miscellaneous Substitution

A: We have to find the integral.

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A: Explained below

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A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ || ti + ²i|dt = 0

A:

Q: c) The equation of a curve is y = √5x+4 i. Calculate the gradient of the curve at the point where x…

A: Gradient: The gradient is a synonym for "slope." The steeper the line is at the place the higher is…

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A: Population model

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A: We need to find How many pointers she made.

Q: Find the (a) horizontal and (b) vertical asymptotes, and (c) graph the rational function. f(x) = 7x…

A: Given function f(x)=7xx2-16

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A: We have given x and y coordinates. We will use them to find tan thetha

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A:

Q: car starts from a point at 2:00 p.m. and travels north at 40 mph. Another car starts from the same…

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

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A:

Q: Evaluate the line integral Jo 9x²yzds with respect to s along the с 2 curve C: x=t, y = t², z = /t³…

A:

Q: 3) Suppose g(t) = 1/t represents the position, in meters from the starting point, of some object…

A:

Q: Solve the differential equation y' =a'y subject to the condition that y = e when x = 0. Preview

A: Y(x)=?

Q: Express the limit as a definite integral on the given interval. n x;* lim -ΔΧ, [1, 7] n→∞ dx i=1…

A:

Q: An angle's initial ray points in the 3-o'clock direction and the angle measures 0.48 radians. A…

A:

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: We can solve as follows

Q: Approximate the logarithm using the properties of logarithms, given log, 2≈ 0.3562, log, 3≈ 0.5646,…

A: Solution:

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

Q: 1. x +4 √x -dx

A: We will use substitution method.

Q: Find the volume of the solid generated when the area bounded by the curve y^2 = x, the x-axis and…

A: Let's find.

Q: Solve the equation. Give your answer correct to 3 decimal places. 10,000 = 1500e0.07x

A:

Q: ***************** …………………………….. ************** The relationship between the number of decibels and…

A: Given the query is to find the how much louder will be the volume.

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

A: Since you have posted a multiple question, we will solve the first question for you. If you want any…

Q: Find the average value of on the interval [0,3]. favg f(x) = x² √√√37 +20²³

A:

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: From the graph,(a) Inflection point is at which function changes it s concavityInflection point =…

Q: Consider the following function: Step 1 of 4: Determine f'(x) and f"(x). 100=x²-2-7 f(x)

A:

Q: Find all solutions to the equation. 2 cos x cos x=0

A:

Q: Find the equation of the tangent line to the graph of f(x) = 5 sin(x) + 6 cos(x) at x = equation: in…

A:

Q: Solve the polynomial equation by factoring and check the solutions graphically. x4-9x3+14x² = 0…

A:

Q: Write the equations in cylindrical coordinates. (a) 4x² + 4y² - z² = 9 (b) 7x - y + z = 3

A:

Q: Find the area between the curves f(x)=1-2x and g(x)=-x-1 over the interval [-4, -1]. (A) 13.5 units²…

A: topic - Area between the curves

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A: We have to give reason and then solve the integration .

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A:

Q: ∫(tan2x+cot2x+4)dx

A:

Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: valuate the integral of the following using Miscellaneous Substitution

A: Given function f(x)=xx2+1we want to find the intengral of given functio

Q: X N y

A:

Q: Let f(x) = 5 on [−3, 1]. x+5 Find all numbers c in [-3, 1] for which the derivative is equal to the…

A: We are given a function f(x) = 2/(x+5) on [-3, 1].   We have to find all the c in [-3, 1] such that…