Solve for definite integral 5. " (x²-1) dx

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: Consider the graph of the function f given below. f(x) I -2 4 B) If h(x) 2 0 -2 2 x 4 A) If g(x) =…

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Q: 3) Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 3, -2, and 1…

A: The intercepts are: x-intercept , a = 3y-intercept , b = -2z-intercept , c = 1 To determine: The…

Q: Write out the first five terms of the sequence, determine whether the sequence converges, and if so,…

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Q: Compute the improper integral DNE 1 e e e 1 x ln(x) -dx if it exists. If not, select DNE.

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Q: 25 lim x+c+ (x-c)³ 25 lim x+c¯(x-c)³

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Q: Find the distance, d, between the point S(9,3,6) and the plane 1x + 1y+7z= The distance, d, is…

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Q: 7. What is the modulus and principal argument of the following complex number? 4(cos(-57/4) +…

A: 4(cos(-5π4)+isin-5π4)

Q: What is the area of the region bounded by the curves y = x and y = x³ in the first quadrant ?

A: We are required to find: The area of the region bounded by the curves y=x and y=x3 in the first…

Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

A: (a) To create a linear function that models the given data, we need to find the equation of a line…

Q: The owner of a skating rink rents the rink for parties at $660 if 30 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $660 if 30 or  fewer skaters attend. For…

Q: 1. The function is given piecewise: ƒ(x) = cos(x) 0 X if x 0

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Q: 1. lim 1-2x - 3x² 1+x X→-1 2. lim X-2 3. lim √5+y-√5 y-0 y

A: Given: limx→-11-2x-3x21+x First, simplify the expression -3x2+2x-11+x: Factor the numerator:…

Q: 19.) Find the indicated of 0. exact value of the trigonometric function CSC =-9/8, is in quad III 7…

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Q: Given u (2) = 6, u' (2) = 4, v(2) = −3, v' (2) = −5. Find d (u(x). dxv(x) Evaluated at x = 2.

A: Use the quotient rules of the derivative

Q: Determine whether the following sequence is convergent or divergent. If it is convergent, evaluate…

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. " U= dv=dx…

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Q: Part a) Use the steps demonstrated in this module to find an equation for the logarithmic function…

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Q: Find the partial derivatives gæ, gy and 9% for the function g(x, y, z) = xy + x² z − yz³

A: Given :- The function gx,y,z=xy+x2z-yz3 To find :- The Partial derivatives

Q: 4 3 -3 +---)-(6) --- 00 0 12 0 A-1 = 120 A-21= 0 5 3 0 0 0 3 3 -3 -(6)-( 0 -1 0 1 2 -1 1 0 0 1 0 0 0…

A: ⇒A-I=43-3000120 ⇒A-2I=33-30-1012-1 ⇒A-4I=13-30-3012-3

Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

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Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

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Q: Solve the following differential equations ** - 2x +2y=x²₁ dy dx

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: thank you for the explanation but i think you misunderstood me the exam is an mcq exam of 25 minutes…

A: Given integral,I=∫011(x-2)x2+2xdxWe need to find whether the given integral converges or diverges…

Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: 9. 4y Find the relative extrema of f(x, y) 5 Notes: D=fxxfyy (fxy) ² if D>0, then if fxx>0: rel min…

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Q: Use the Limit Comparison Test for 4n² + 2 n(n-1)(n-19) Σ' an bn n=25 to prove convergence or…

A: The given series: ∑n=25∞an=∑n=25∞4n2+2nn-1n-19We need to prove the convergence or divergence using…

Q: Multiply and simplify completely: √12x³y¹5. √√6x²y-7 Your answer will be in the form A√B, where A…

A: We need to multiply and simplify the given expression.

Q: 6. Prove that x² dx b³ - a³ 3 3

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Q: Use the Chain Rule to find az/as and az/at. дz əs əz at || || z = tan(u/v), u = 8s + 2t, v = 2s - 8t

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Q: Calculate the Taylor polynomials T₂(x) and T3 (x) centered at x = a for f(x) = 20.sin(x), a =…

A: Here we have given a function: fx=20sinx, a=π2 So, here we need to calculate the Taylor Polynomial…

Q: n f(x) = 7sin x-3?

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Q: 7. fc (x + 2y) dx + x² dy, C consists of line segments from (0, 0) to (2, 1) and from (2, 1) to (3,…

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Q: Evaluate the integral: cos² (2x) sin (2x) dx Туре U U'

A: ∫01cos22xsin2xdx

Q: How many petals does the graph of the rose curve r=4sin(3θ) have? Enter your answer in the box

A: For the function, r=asinnθ    or    r=acosnθ If n is odd then there are n number of petals. If n is…

Q: If y(t) = -² -1 and a(0) = 1, then d(t) = -2t + 1. false true

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Q: Given below are descriptions of two lines. Line 1: Goes through (−12, 50) and (−3, 14) Line 2: Goes…

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Q: Graph a vector, opposite to the given vector, that has an initial point at the origin. 2 8 + T…

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Q: 7(6x + 1)³√√x² + x (6x + 1)5 x² + x 2

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Q: Suppose that fx cos(x²)dx = G(x) + C = F(x). Determine the constant of integration C if F(0) = 2. 0…

A: Given Integral  ∫xcos( x2 )dx∫xcos( x2 )dx = G( x ) + C Given condition F( 0 ) = 2

Q: What is the polar form of the equation? (x+6)² + y² = 36 O² 12r cos 0 Or(r+ 12 cos 0) = 0 ○r (r + 12…

A: x+62 + y2 = 36

Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: Let f (x, y) = e(5x-6y). Find the equation for the tangent plane to the graph of f at the point (1,…

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Q: Compute the improper integral 1 x ln(x) -dx if it exists. If not, select DNE.

A: We have to find the improper integral.

Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

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Q: Evaluate the improper integral or state that it diverges.

A: We need to evaluate the following integral: ∫-∞-48x3dx This can be computed as follows:

Q: If t(x) is a linear function, where t(-1) = −1, and t(3) = 4, determine the slope-intercept equation…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

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Q: Intervals on which the function is increasing and intervals on which it is decreasing, ● critical…

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