x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option 2 In 1x³ 3x² 1 + C 2 Option 4 Other:

Q: The figure to the right shows four regions bounded by the graph of y=xsin x: R₁, R₂, R3, and R4,…

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Q: The position vector r(t) = 5ti+2tj+4tk describes the path of an object moving in space. Find the…

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Q: Given sec 8- -13 $ 3 03 N what is cos?

A: Solving the problem by finding the value of Cos.

Q: (18) Find the derivative of the functio 2²+5 3 Y=2²-5 Nor me it to Vitou inst

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Q: find an equation of a plane passing through the given point and perpendicular to the given vector…

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Q: Express the following as a linear combination of u =(3, 1, 6), v = (1, -1, 5) and w = (4, 2, 4).…

A: To write down the vectors into the linear combination of the given vector.

Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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Q: parametric

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Q: 3. What are the values of A, B, and C so that a. A = -2, B = 3, and C = 4 b. A = 2, B = 3, and C= -4…

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Q: 2x + 2 6x³ +5x² - 4x y = 3

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Q: Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z…

A: Follow the procedure given below.

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s,, as a…

A: We use Series integral method to find whether the series is convergent or divergent.

Q: The region bounded by y=-|x-2|+1 and the x-axis is rotated about the y-axis. A. Sketch a graph of…

A: Concept: The washer method: The washer method is the name for the use of the slicing technique.The…

Q: 2 √(√sinx + cosx)² dx

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Q: Show your complete solution: Evaluate the triple integral ㅠ pxy 2 L x 0 COS Zdzdydx X

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Q: Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim…

A: a)limx,y→0,07x2+2y2yb)limx,y→0,049x2-98xy+49y27x-7y

Q: Find each of the following for f(x) = 6x² - 6x +6. (A) f(x+h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

A: In this question we have to find the following given parts in the question.

Q: Find the radius of convergence, R, of the series. Σ n = 0 R (-1)^_x³n (2n)! Find the interval, I, of…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 8xe…

A: The given function,  z=8xey-12ye-x

Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

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Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

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Q: 3y What is the equation of the curve that passes through the point (1, 3) and has a slope of ○ y =…

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Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

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Q: 7x (x+3)³ a. Find lim F(x). X-3 Let F(x)= b. Find the vertical asymptote of the graph of F(x). c.…

A: F(x)= 7x/(x+3)3  a) find the limit of F(x) when x tends to -3 .  b) find the vertical asymptote of…

Q: Use the graph to find the point(s) of inflection of f. (Give your answer in the form of a…

A: Given: the graph is given we want to find inflection point and concave down range         Inflection…

Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: find the unit vector in the direction of u u=

A: find the unit vector in the direction of u u=<-4,-1,-3>

Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

Q: 3+13 -t 5. Consider the vector valued functions x₁(t)= and x₂(t)= t2 -(3) (a)Compute the Wronskian…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Hallar a de modo que h sea continua para todo ax²-x, x≤-1 ax - 5, x>-1 h(x) =m Envie sus comput X…

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Q: multiple of a and c: =b/(n^3) c = b/(1 + n^2) S 1 du au²+bu+c

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Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(z² + y²) dA…

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Q: The temperature at any point (x, y) in a steel plate is T = 900 -0.7x² - 1.1y2, where x and y are…

A: topic- partial differentiation

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series. (1)…

A: (1) The given series is ∑n=1∞n(x-1)n

Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: Use the given substitution to express the given radical expression as a trigonometric function…

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Q: Use L'Hopital's to determine the limit. lim Oo O1 ○ -1 enx ~|-1 as x approaches co

A: This question can be solved using the concept of L' Hopital's Rule and derivatives.

Q: Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the…

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Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…

Q: Select the correct steps when differentiating from first principles. O a. O b. O C. O d. lim 0+x lim…

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Q: Use a product-to-sum identity to rewrite the expression. 5cos v sin 5v

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Q: y' = 2xy²

A: Given: y'=2xy2We need to solve the above differential equation.

Q: Find the general solution to: dy X xẩy = xảy x²y d y = o y = Cet² ° y = Cezx² ○ y = ex² ez x² + C…

A: We need to find out the general solution of the differential equation.

Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

A: topic- differentiation properties of log used:log(ab)=blog(a)logab=log(a)-log(b)derivative formula…

Q: Find the total differential. z = ex tan(y)

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Q: Evaluate 1) |x-2| dx

A: To find out the integration.

Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

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Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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