Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them Oi Inz-+C In r

Q: 6. The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on th...

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Q: -2 dx 1 x-1

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A: Given Quadratic Eqaution :  y= (x-1)2-4 Graph : 

Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

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Q: cos2x – sin2x cos2x - dr = -F(x)+C. What is Fx)? 19. For cosx – sinx 3 A. (cscr - secr)3 2 2 sinx - ...

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

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Q: 19 (a) Solve In(2r)-3 In(z) 0 for r. (b) Use the following table to find the value of z from 7a-2- 1...

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Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

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Q: Consider the indefinite integral dx Then the most appropriate substitution to simplify this integral...

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Q: sias The integral cost -e de may be written as me' +px+ ge" +C• where m, n, p, q. r, and C are const...

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Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + + +

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Q: company produces a special new type of TV. The company has fixed costs of ​$486,000​, and it costs ​...

A: Given query is to find the price for maximum profit.

Q: What is the integrable form of sin-cos-sin0 de 2 2 du 2 1– u² du cosu du -2 sinu du

A: To write the integrable form.

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Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

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Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

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Q: cos2x - sin2x cos2x For dr==F(x)+c What is F(x)? COSx - sinx O (cscx- secx) 3 2 2. sinx +-cos'x+cosx...

A: Given:          ∫cos2x-sin2xcos2xcosx-sinxdx=13Fx+C      =∫cos2x-sin2xcos2xcosx-sinxdx   Expanding t...

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Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for...

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Q: vas y dS

A: Use simple integration formula.

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Q: Find the sum of the convergent series. (b) (sin 1)" n=1 9 27 (c) 8+6+;+ Σ (2n + 1)(2n + 3)

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

Q: 5. y = xArctanx - In VI+x

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Q: Verify that the series nº + n=1 satisfies the conditions of the Integral Test, then use the Integral...

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Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

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Q: Consider the points A(1, -1,4), B(2,-3, 2), C(-1, -2, 2), and D(4, 3, –6). (a) Find the volume of th...

A: The answer is shown in step 2.

Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...

Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

Q: dr? What is the integrable form of et-e A (1-u²) ² du O fa- B 2 du 2 du 2 du 1.

A: Given Problem is solved in attachment.

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Q: Find the derivative of the function. %3D y = /x(x – 3)² y' =

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Q: Given cost and price​ (demand) functions C(q)=120q+43,000 and p(q)=−1.9q+850​, how many items must b...

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Q: Find the equation of the circle with center at (4, -1) and passing through the point (-2, 2). * 4 po...

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Q: Find the area of the triangle with vertices P(1, 4, –3), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the ex...

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Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-(x)+1) -1 + - 3 1 + -1 + -

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Q: Jsino in(0) do? ioP (0)u What is the integrable form of cos

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Q: 3. tan(xy) +xy 0

A: This is a problem of differentiation. Based on the general formula of derivative we will calculate t...

Q: - 1) ? du

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Q: uestion 13 d +=x² +C. n P a b ze general antiderivative of (3x²-4)²x² can be written as m hat is the...

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Q: Using the separation of variable method, solve the following differential equations dy а). = x³ y? %...

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Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v orthog...

A: Given: v=4,-1,7 & b=1,4,-8   We know that; The expression for the vector projection v onto b is:...

Q: cos2x- sin2x cos2x For dr=-F(x)+C What is F(x)? COSX sinx 1. (sinx COSX O (cscx x – secx) ³ CSC) cos...

A: We have to find F(x) by indefinite integral