Find the absolute extrema of the function on the closed interval. f(x) = 6x + 1, [-1, 2] minimum (x, y) = maximum (х, у) %3D

Q: wo linearly independent solutions of the differential equation y"-4 y=0 are O y,=e** and y, = e 4x…

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

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

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Q: Find the derivative. (The Fundamental Theorem of Calculus -- Part 1) 19) y = cos ft dt COS-

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Q: (2х+3) dx (x2+3х-6)9

A: ∫2x+3(x2+3x-6)9dx=∫(x2+3x-6)-9 (2x+3) dxusing formula∫fn(x) f'(x)dx =fn+1(x)n+1+chere, f(x)=x2+3x-6…

Q: y ton(メツ) ン Q3 Find tanx 2 y-(1+x

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Q: Prove the identity. x2 - 1 tanh(In(x)) %3D x + 1 tanh(In(x)) %3D cosh(In(x)) eln(x) 2 -In(x) + e -1…

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Q: Q38: If y = e2x sin 5x, then which of the following is true? (a) y" – 4y' + 30y = 0« (b) y" – 4y' +…

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Q: Example -3 .2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 SLE + 2xy – xz dy dz - 2…

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Q: Q3 Find dy tan (X?y) tanx 2 y-(1+x)

A: A detailed solution is given below

Q: Question 6 xdx can be solved by either algebraic subsitution or integrataion by parts. х - 1 T True…

A: We solve it by integration by parts.

Q: 20 Q41. Term independent of x in expansion of is? бх3

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Q: Question 1 half of the circle x +y? = 9. Sketch D, and give D in the polar coordinates. Evaluate the…

A: We will evaluate this double integral using polar coordinates.

Q: Question 8 = 1 and lim,→a g(x) |8(x) If limx→a ƒ(X) = 0 then, we must have limx→a [f»]«® = 1 True…

A: We are authorized to answer one question at a time ,since you have not mentioned which question you…

Q: 13. Find dy/dx of y = xnx

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution of…

Q: After appropriate substitution, the integral expression a* (x2 + 4)? dx can be express as (choose 2…

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Q: Evaluate the following limits: V10 + 6х — 2 (a) lim x→-1 x2 – 2x – 3 1 – sin(x) (b) lim x→5 (2x –…

A: Use l hospital rule for finding the limit.

Q: olve the following Initial Value Problem: y" + y-6y 0, y(0) = 2 y (0) = -1. and %3D %3D %3D

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Q: Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' -…

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Q: 1 In solving the antiderivative of f(x) = 3sin(x) + 4cos(x)+ 5 by miscellaneous substitution, the…

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Q: 100 10) y = 2 + 9e-3x

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j+…

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Q: :Q: solve the following equations 2X-3Y+Z=-1 X+4Y+5Z=25 3x-4y+Z=2 x=8.7 y= 5.7 z= -1.3

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Q: I. Evaluate the triple integral zdV, where E is bounded by the cylinder y? + z? = 16 and the planes…

A: Let's find.

Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

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Q: dy Find given x' +y =8.y. dx Note: Enclose all terms in a parenthesis if either the numerator or…

A: Topic = Derivative

Q: Determining Differentiability In Exercises 7-10, describe the x-values at which f is differentiable.…

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Q: If f(x) = 2x + Ax + Bx – 5, find the value of B when f(2) = -3 and f(-2) = -37 %3! %3D

A: Follow the procedure given below.

Q: : Write step by step solutions and justify your answers. 1).- ! Solve the following Initial Value…

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Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

A: Let's find.

Q: = sin? (esint) l(x) = tanh-1 x + In v1- x2 2 h(t) + cos + cos¯ -1(2t3 - 5) |

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Q: Decide whether the limit exists. If it exists, find its value. fx) 3+ 2+ -2 -1 3 X -1+ -2- 1) lim…

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Q: Sketch the region of integration and change the order of integration for the integral .3 A f(z,1)…

A: Given problem:-

Q: и + Use the ratio test to determine whether > converges or diverges. п! n=12 (a) Find the ratio of…

A: Here, the given series is: ∑n=12∞n+5n! Let, an=n+5n!; n≥12

Q: Find the integral. Box Final Answe r. For the definite integral, gve the exact answer only Ssin(Bx)…

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Q: dy Solve the differential equation 14y/r-1 dx 2.x subject to the initial eSy2-8 condition y(2) 1. No…

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Q: Write T if the statement is true, or F if it is false. W. 1. -dx x' +C 3 %3D 45x=-5x +C 9. 2. %3D 4…

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Q: y' = et ; y(0) = 2 find the general solution

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Q: In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution 2=tan 5…

A: Solve the following

Q: S sin?x cos³x dx i sin*x -sin*x + c i sin*x +sin°x + C O A B -sin'x -sin'x + d

A: The given integral is ∫sin3xcos3x dx We evaluate the integral using proper substitution. At first we…

Q: Consider the following planes. 3x + 4y − z = 56 x − 8y + 2z = 0 (a) Find the angle between the two…

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Q: ,R(x) dollars is the total revenue from the sale of x television sets: R(x) = 600x 20 i) Find the…

A: Rx dollars is the total revenue from the sale of x television sets: Rx=600x-120x3i To find the…

Q: z+3 lies on the y -axis of complex plane, where Q48. If z = x + iy and z + 3, then which of the…

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Q: Evaluate: (9 - 22) -1 x- V9- x sin A f (z) = %3D V9-2 None of the above a+V9-r sin ©f(z) = V9-7 9-…

A: We have to choose the correct option from the given options according to the given information

Q: Question 13 - [x²/25+ x²dx , we let x= 5sine. (T True F False

A: We have to find integration

Q: Find the average value of f(x)=9x+1 over [4,9]

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Q: Choose the suitable function y1, for the method of reduction of order, to find a second solution y2…

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Q: evaluate intelga)

A: Consider the integral  ∫1x3dx

Q: 1 In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution z =tan|…

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Q: 1 19 Given the SVD of matrix A = has 19 361 :) Σ what is x?

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Q: 1 Solve the integral: 1+x + C + C C) None of the given choices 5. Inl + C 56

A: Let's find.