3 Given [ (x³ - 3x²¹ + (x5 - 3x4 + 6x³ + 3)dx, evaluate the indefinite integral.

Q: Find the area of the region bounded by the curves x = 2y ^ 2 and x = 4 + y ^ 2 Be sure to justify…

A: We have to find the area enclosed by the curves using integration.

Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

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Q: question 15 help!! You are driving a car away from home. Your velocity (miles per hour) t hours…

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Q: Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which…

A: We need to choose correct option.

Q: 3- a) Find the area of the region in the first quadrant between, y || = and y = x² b) Find the…

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Q: 10. Find the area of one petal of the polar rose r = sin(40) as pictured below. 5A6 Kve 4TH 2 3m/2…

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Q: fferentiate the function and find the slope of the tangent line at the given value of the…

A: Given query is to find the slope of the tangent.

Q: (sin 8) (csc³ 0-csc²0- sec 0 tano) de 6)

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Q: 4) To what new value should f(1) be changed to remove the discontinuity? √x² + 1₁ Solve the problem.…

A: The Answer is in step 2.

Q: a) Evaluate the following integral. 2 2w5-3w+8 dw 2w² S²

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

Q: A patient's temperature is 101 degrees Fahrenheit and is changing at the rate of  t2 − 3t  degrees…

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Q: Evaluate each of the following integrals 2. √2x²-x+4 dx S x(x²+4)

A: Given integral ∫2x2 - x + 4x ( x2 + 4)dx

Q: 5 4 3 2 1 -1 -2 -3 -4 + + Find lim = tan x is The graph of the function f(x) given above for the…

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Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve…

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Q: 6. Consider the function f(x) = e¹/x. (a) What is the domain of f(x)? (b) Find all vertical…

A: By drawing a graph of y=e^1/x  We can clearly see

Q: ate the integral. Prox f(x) dx where f(x) = 2 if -2 ≤ x ≤ 0 {²₁ - x² 14-x² if 0<x≤2

A: Given is to find the integral

Q: . For the given triangle, find the exact value of all six trigonometric functions. Function sin 0…

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Q: f(x, y) = 3 sin(7xy) and g(x, y, z) = √121 – x² - y² – z². Find the following function values

A: Given functions:- fx,y=3sin7xy gx,y,z=121-x2-y2-z2

Q: f(sin (6x))³ dx

A: Evaluate  ∫(sin(6x))3dx

Q: Evaluate each of the following integrals 1. S dx x√√x²+4

A: Please see the below picture for detailed solution.

Q: Find the second derivative of the function. 8) s= +7+5t+3 ₁2

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Q: Ordinary Differential Equations of the First Order.pdf Exercises: 1. y(2x-y+1) dx + x(3x-4y+3) dy =…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: For the sequence defined by: a1 = 1 an+1 TODA Find: a₂ a3 a4 ||

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Q: 2 2 Find ** (5x + 4y)5 drdy Question Help: Video Submit Question Jump to Answer

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Q: Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n…

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Q: Find the integral of F(x) = √ 2x + 3 over [-1, 1], using Riemann sums with n=4 and the midpoint of…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt dy dt…

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Q: Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) =x^2 The area (rounded to two decimal…

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Q: In the right traingle in the figure below, if cos A = the triangle has what length? 2 , and the side…

A: we know that cos(x)=basehypotenuse

Q: A bowl of soup at 80° C sits in a 20° C room and cools to 74° C after 1 minute. Using the model for…

A: T( t ) = ( T0 - Ts)ekt + Tswhere T0 = initial temperature Ts = surrounding temperature T( t ) =…

Q: Give the equation of the tangent line to the graph of the function y = x - ln(2x) when = Give your…

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Q: Find the equation on the parabola that has it vertex at the origin and satisfies the conditions:…

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Q: nd the divergence and curl of F. ~v(F) = V · F = ■ ■rl(F) = V × F = ( | 00 "

A: given vector field is  F(x,y,z)=&lt;2x2  ,  -9(x+y)2  , -8(x+y+z)2 &gt; now ,…

Q: Let f(x) = (3 — 5x)² ƒ(x) has one critical value at A =

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Q: Find the value of X 56 35 イメー

A: Given query is to find the value of x.

Q: (14) y = Tan¹ (3); dy =? ax A) 15) 4+x² E) y= B) - 2√4-X² x²+4 Sec²(X); dy = ? Jx Tanx √4x² D) +…

A: To solve the problem we use derivatives properties and trigonometric properties.

Q: Match each polar coordinate equation with a description of its graph. 1.0=3 A. vertical line B.…

A: Given:  (1)  θ = 3   (2)  r = 3   (3)  r = 3 cos θ

Q: etch the region enclosed by y = 3x and y = 5x². Find the area of the region.

A: Topic:- application of integration

Q: Find the average rate of change of the function over the given interval. 1) y = √√√2x, [2, 8]

A: formula for average rate of change is  =f(b)-f(a)b-agiven f(x)=2x , given interval is  2,8there for…

Q: Find d dx (5+2)

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Q: A manager must decide on the mix of products to produce for the coming week. Product A requires…

A: see below the answer and explanation

Q: Find the area of the shaded region. r² = sin(20) L

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Q: 1. y(y³ − x) dx + x(y² + x)dy=0

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Evaluate each of the x³ X fed dx x² (a)

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Q: Evaluate the indefinite integral: / (+/-5VF) dx = +C.

A: Here we have to find the integral.

Q: Given the function g(x) = 8x³ + 12x² derivative, g'(x). g'(x) = Notice that g'(x) is, g'(- 4) = 0. =…

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Q: ܢ Find an antiderivative of Antiderivative = 9 z2+9 4 25 in the variable where > Remember to include…

A: To find the antiderivative function.

Q: 4. y = 2³, y = x

A: find intersection points graph

Q: Determine the values of k that make the function continuous everywhere. f(x) = x² + 3x + 2 x + 2 k x…

A: Please see the below picture for detailed solution.

Q: Consider the function: f(x)=x2−32x⎯⎯√−6f(x)=x2−32x−6 Step 2 of 2 :   Use the Second Derivative…

A: The given function fx=x2-32x-6. We have to find its local maxima and local minima.