Differentiate. g(x)=x°cos x

Q: Evaluate the indefinite integral sin v cOs vdv

A: Given:       ∫3sin4v cosv dv Taking constant out.         =3∫sin4v cosv dv substitute u=sin…

Q: 3x2+ 8x – 12 3. -dx. Use partial fractions. x3+7x2+ 12x

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Q: SxA Svau Using Integration By Parts, x Arcsec 3x dx = u v-

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Q: Evaluate ff, (x²z + y?z)dS where S is the part of the plane z = 4 +x+ y with positive orientation…

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Q: Evaluate the indefinite integral. 15 +°dx

A: Given query is to eveluate the integral.

Q: Evaluate the iterated integral. 6xy2 dx dy

A: We have to evaluate the iterated integral

Q: Using Integration By Parts,x: x dx = u v– Jv du X sec Svou -tanx - Jsec Find Ex tan 5 2 1. X sec x…

A: The given Integral is: ∫x sec 12x tan 12xdx

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y…

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Q: Find the partial fraction decomposition. 2x-2 (x-2)(3x-5)

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Q: f'(x) = cos x; y (G) = 3 %3D

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Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: dx 4 sin e+C express the answer in terms of x. 3 Using Trigonometric Substitution (x² + x + 1) 2 4/3…

A: Given problem:-

Q: An equation for the level curve is (Type an equation.)

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Q: Consider the indefinite integral dr: a) This can be transformed into a basic integral by letting and…

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Q: xy dx + e* dy = 0 er?

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Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

Q: Consider (2x2- x² + x +2 x4 + x3 C D B + dx = dx find A+B+C+D- + x+1 O 3 O 2 O 4 O 5

A: Topic:- partial fraction

Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

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Q: 2) f(x) =f"(x) 3 x+7

A: Use simple differentiation formula.

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. cosh 5x…

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Q: dt (t +7)

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Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

Q: Evaluate the integral Scor? x dx cot2. O cot x - x + C О -cot x - х+ С O cot x + x + C o 1 cot? x +…

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Q: Safari File Edit View History Bookmarks Window Help A docs.google.com Google Docs Untitled document.…

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Q: Question 1 Consider / sin*x cosºx dx. f we let 4 = sin x, the integrand can be transformed to, (B ®…

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Q: Evaluate the integral Jcots x csc³x dx -csc 1 7 x + 1 1 sc x + C csc csc x +csc? x + C X 1 2 1 7csc"…

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Q: Find 8²-45+13 2

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Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)

A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai

Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: x2 +x+1 dx. Use partial fractions 2x2 +2+x³+x

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Q: Find an antiderivative of the function. (a) h(q) = sin(q) H(g) = (b) f(x) = 3eX F(x) =

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Q: dx Using Trigonometric Substitution - f(e) - find (x² + x + 1) 2 4 3 sec e O 3 sec? e 4 4 3 sec? e O…

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Q: dy 4у dx х (у-3)

A: Given query is to find the soly of the differential equation.

Q: Compute the given integral. Jac dx +C

A: Solve the integration

Q: 1. Determine the absolute extrema of f(x) = (sin r – 1) cos r on 2 2 if they exist, and identify the…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: We need to use mid point rule to approximate integral.

Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: Write a in the form a = a- T+ anN at the given value of t without finding T and N. r(t) = (t + 5)i +…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Using Trigonometric Substitution J JA€)d® ,find f(e) (x2 + x + 1) 2 4 3 sec? e 4 3 sec e O 3 sec e 4…

A: Here we have to apply trigonometric substitution.

Q: 4) y =iy ¡y' -x1

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Q: Which of the points below correctly plots the point (3, 4)?

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Q: 6. What does lim v2 – x = 1 means? x-1 a. The limit of the function is 1 as x approaches 1 from the…

A: As per bartleby guidelines we only give first three question answers.

Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: x2 +x+1 dx 2x2 +2+x³+x

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Q: Using Integration By Parts, x3 V x² +4 dx = u v- -[vdu Find UV-

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Q: A stone is dropped from the upper observation deck of a tower, 800 m above the ground. (Assume g =…

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Q: 2 - V2r + 10 a. lim 1-3 r2 +x – 6

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

Q: Fird the area bounded by the curve: a) y=x° and y=2x43 a)Curve accurotely drown with important…

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Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx