What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 4) for…

A: The given function is f(x)=-5x+3 ln(x)

Q: If we use the secant method to find the root of the function 0 = sin x, then one of the following…

A: This is a solving of roots by secant method problem

Q: Find the indefinite integral. (Use c for the constant of integration.) [(4t³i (4t³i+ 14tj -7√tk) dt

A: The given integral is;  (4t3i +14tj -7(sqrt(t))k).

Q: The graph shown below is f(x) = 3x - 2. If g(x) = f(t) dt, what is g'(-1)? f 5 4 3 O 5 O 3 0 1 O -5…

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Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: If the L[ eatsin3t ] = a/( s² + bs + 42), determine the value of b.

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Q: lf f(x) = -[-² 0 u²-6u +5du, then what is the y-coordinate of its inflection point? Selected Answer:…

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Q: H.W: Evaluate the integral 30 [ (x²y - 2xy)dydx 0-2 1. 3. 5. 3 1 [ [(2x - 4y)dydx 2π π [[(sinx +…

A: 5.The given integral,        ∫π2π∫0πsinx+cosydx dy

Q: Find the solution of the equation correct to four decimal places. In (ex-3) = 6 Select the correct…

A: Given that     ln(ex - 3) = 6

Q: Find the function F that satisfies the following differential equation and initial conditions.…

A: This question is based on diffrentiation equation and solved using Laplace transform.

Q: The volume of the solid obtained by rotating the region enclosed by 1 x² y = with limits of…

A: We have to find the volume of the solid.

Q: The velocity function (in meters per second) is given for a particle moving along a line. Find the…

A: You must have idea how to find distance under v-t curve.

Q: In a triangle ABC, a = 10, b = 12 and C= 40°, find c. - (Use cos 40° = 0.766) (Round the answers to…

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Q: Consider the given function, h(x) = 3x² - 15x+4. (a) State whether the graph of the parabola opens…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-2, 8) for…

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Q: III. Use the Laplace transform to solve the initial value problems. (a) y" + 3y + 2y = 0; y(0) = 1,…

A: As per bartleby guidelines we only give first three question answers.  Please repost for other…

Q: On which of the following intervals is f(x)=x4-100x²+x-10 concave up? Selected Answers: A. (-∞,-5)…

A: Concavity

Q: Consider a linear system (a) (b) 2x + 3z = k²2 - k-6 3x - 2y = k²-9 x + 2y + 6z = 2k - 6 For what…

A: A linear system is said to be homogeneous if all the constant terms are zero.

Q: •. Sketch the graph of a continous function & f(2)=1 f'(2)=0, the point (2,1) is 1 1 1 1 2 I is…

A: We have to sketch the graph for given question.

Q: Given r(t)=cos(t)i+sin(t)j+2tk, find and completely simplify T(t) and N(t)

A: Here we will find T(t) and N(t),

Q: Calculate the following antiderivatives: (a) ∫ 8t− 6t^6 −5dt =  +C. (b) ∫ 1/u^7/4 + 3.5 sqrt u du…

A: a) Given:       ∫8t-6t6-5dt  =∫8t dt-∫6t6 dt-∫5 dt taking constant out     =8∫t dt-6∫t6dt-5∫ dt…

Q: Tutorial Exercise Evaluate the definite integral. I [²² sin5(x) dx Step 1 To solve the integral…

A: We have to integrate the given term.

Q: Use the given information to find the exact value of the expression. 9) tan 0 = 13/12, 0 lies in…

A: using trigonometry properties

Q: 2. 4xx X (2-x4)6

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Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 10 Figure 1 A…

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Q: cos-¹ Q6A)If y cos = prove Zyy + z = 0. B) Z = (1 + i)(2-1)-¹, find |21. 倉

A: Simplify given equation in z then  two times partially differentiate z

Q: No calculators. Using the Shell method only, find the exact volume created by rotating the region…

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Q: Use the table below to answer the following question. What does the number "10" in the lower right…

A: We have to choose correct option.

Q: Evaluate: AT -dx B. 이집 는 d 를

A: Evaluate the integral ∫0πxsinx1+cos2xdx

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

A: y = x5 y =1  find V = ?   V = π∫(f(x))2dx here we have to find limit of x  here first quadrant given…

Q: Find | 22 x²z ds, where C is the line segment from (0,4,-6) to (2,9,-5)

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Q: Evaluate the indefinite integral: + 1+x8 dx

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Q: The region bounded by x = 1 - y¹, x = 0 is rotate about the line y = -5. The volume of the resulting…

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Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -1 f (x) 2 3 (a)…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8] Step 1…

A: topic- arc length of a curve

Q: Find r'(t), r(t0), and r'(t0) for the given value of t0. Then sketch the space curve represented by…

A:

Q: 2A)Matrix A = 12 2₁ B = B = [₁ ²2₁ find AB. -21

A: Note:- Please repost part B because unable to understand  right side of differential equation…

Q: (C) (In Mpg) for a certain vehicle can be approximated by m (x) = -0.03x +2.645x-35.029, where x is…

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Q: Solve the given differential equation by undetermined coefficients. y" + y = 3x sin(x) y(x) =

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Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→2…

A: The limit is evaluated below.

Q: Find the minimum rate of change of f(x, y) – y³e-² at the point (0. — 2).

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Q: Use the cross product to find the area of the parallelogram whose vertices are (0,0,0) , (0,2,1),…

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Q: Find the tangent line approximation T to the graph of fat the given point. Then complete the table.…

A: The function f(x)=csc(x), 9, csc 9

Q: (b) Estimate the maximum allowable percent error in measuring the circumference if the error in…

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Q: (a)i Find a vector equation and parametric equations for the line that passes through the point A(5,…

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Q: Find the volume obtained by rotating the region bounded by the given curves abou y = -1. Select the…

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Q: (a) Verify that y=tan(x + c) is one-parameter family of solutions of the differential equation y'= 1…

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Q: Find the curl of the vector field F curl F = (2y cos(x), 5x sin(y))

A: F = (2ycosx , 5xsiny) find curl F =?   curl F  = dF2/dx - dF1/dy here  F1 = 2ycosx  F2 = 5xsiny now…

Q: lim h→0 (e) cos( 4 + h) - 1 h

A: To find the limit of following function

Q: 3 여 x 3

A: Given: 121-111231X=0-21