if y = a sin x Prove a +b CosX a cos + b %3D 2 (atb cosx) 11

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A: integration using the substitution method

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Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D. x²...

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

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A: Use the definitions of improper integrals to write the improper integral in terms of limits.

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A: The objective is to evaluate the integral.

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A: Given problem:-

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 − x − ln(x)   inter...

A: f(x)=x2-x-ln(x)f'(x)=2x-1-1xf'(x)=02x-1-1x=02x2-x-1x=0(undefined at x=0)2x2-x-1=0(2x+1)(x-1)=0critic...

Q: Evaluate V1-x-dx A. --(x+xvI– x-) +C B. (x+xV1%3=x) +C c. (x+xv1+x-) +C D. -(x-xVT-x-) + C xv1-x)+ C

A: Find your answer below 

Q: 1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph illust...

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Q: We have from part (a) that f(x) = 3x- 8 x +8 r-l(x) Sketch the graph by plotting the lines of f(x) a...

A: Find your answer below 

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: 1. Determine el área encerrada por la elipse + = 1 y? 25 2. Determine el área de la región bajo la c...

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Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10 element...

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Q: 2x-5 dx 73

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Q: Find the average value of the function f (x) = 20 – 5x² from (0, 3). |

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Q: Eetee 10 Describe the relationship between the graphs. Step - The graphs of fand are reflections of ...

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Q: Solve for the Linear Differential Equation: y' - y = e^x

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Q: 2. Apply appropriate trigonometric substitution to compute the integral 1-4x +2 dx /2x

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Q: S"(x² + y²)dx dy B. 19/2 Evaluate A. 35/2 C. 37/2 D. 17/2

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Q: The follamng expression shaws an eqution of a conic section such that he ordered pair (Vx, Vy), corr...

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Q: Given f(x,y) = 5x sin(3xy). Find fxy(4,2). Give you answer correct to two decimal places.

A: Given f(x,y) = 5x sin(3xy).  Find fxy(4,2).

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Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given b...

A: Daily cost for a manufacturer to produce x electronic video components is given by: Cx=1000ln2x2-800...

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Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE: En...

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Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: Find the area bounded by the curve xy 2 and the line x+y%3D 3. A. 0.17 sq. units B. 0.11 sq. units C...

A: Let's find. 

Q: 5-14 1 Solve the differential equation. 5. y' + у — 1 6. y' – y = e* 7. у' — х — у 8. 4x'y + x*y' = ...

A: Given

Q: Solve S using the technique of integration by partial x²-4 fractions A. In B. In +c с. in +c D. A В ...

A: Option A 

Q: f + y*)dx dy Evaluate A. 35/2 B. 19/2 с. 37/2 D. 17/2 A O c C

A: To evaluate the given iterated integral.  

Q: The Extended Euclidean Algorithm allows us to efficiently compute inverses in Z∗n (and also in Galoi...

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Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4 an...

A: EA = 0.0030056

Q: dx Evaluate J x+5 A. Arcsin ( x +2) + C B. Arcsin (x +1) +C C. Arctan (x + 1) + C D. Arctan ( x + 2 ...

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Q: sec2zydy Evaluate the integral: Jtzy(3+tan-zy) A. In(3+ tan²2y) +C In(3+ tan?2y) +C In(3+ tan 2y) +C...

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Q: Use implicit differentiation to find y' for 3ar y + In(ry') = 3 and then compute y' at (1, 1). Answe...

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Q: Evaluate f sec x dx. Show your solution. Upload Choose a File

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Q: If the integral contains v(x^2 - a^2), the best trigonometric substitution to be used is A. let x = ...

A: Solution is written in below steps.

Q: Let z ax y + bx'y?, with a and b constant. P is a point given by (1, 1) and it is known that az (Р) ...

A: Solution is written in below steps.

Q: 7. Find the volume of the solid obtained by rotating the region under the graph of f (x) = 9 – x2 fo...

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Q: Evatuate the function at the given value of the independent vaniable. Simplity the results x) -- x) ...

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Q: <- Save & Exit Certify Lesson: 4.1a Higher Order Derivatives and .. 0/11 Question 1 of 6, Step 1 of ...

A: We know, ddxmx+cn=mnmx+c(n-1) , for any real numbers m and c

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Q: Q1:a) Find the domain and range of the functions:- 1) f(x) = %3D x+3 2) f(x) = V4- Vx 3) f(x)=5cos3x...

A: Topic:- function

Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

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