If the series E, (an)? diverges then lim,00 an + 0 Select one: True False

Q: x'dx 1-x²

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Q: Find parametric equations for the line through (- 4,6,1) perpendicular to the plane 7x + 3y + 9z =…

A: Note that, a vector which is perpendicular to the plane ax+by+cz+d=0 is (a, b, c). A parametric…

Q: Question 3 (- whether it is convergent or divergent (show all ) Test the following series your…

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Q: S: Solve: do Sinho t cosho

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Q: 1. Find the area bounded by the parabolas y= 4x and y'+12x = 36

A: Topic:- application of integration

Q: 1 x2 1. Evaluate: f(x) = S, dx 2. Find the Taylo

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Q: dx 2+

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Q: 1. Evaluate the following integrals. | (csc 0)(1 + sin² 0 + sin 0 cot? 0) de а.

A: Given ∫(cscθ)(1+sin2θ+sinθcot2θ) dθTo evaluate the integral:

Q: 2r 2r If the total volume of the cylinder and square block is 30 cm', express h in terms ofr.

A:

Q: A. Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x + y = 6…

A: Given :   y=x y=2x x+y=6

Q: Find * L-1{ 52-4s+13

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Q: Cx)= Ex> is add even?

A: We need to determine if the function is even or odd.

Q: y – 2. Suppose the symmetric equations of lines l1 and l2 are = 2 - y = z and a = -1, 2…

A: x-12=2-y=z implies L1 : x-12=y-2-1=z-01x=-1, y-23=z-12 implies  L2 : x+10=y-23=z-12If lines L1 and…

Q: sin(x²) Evaluate lim 140- e2r – 2x – 1

A: Topic = Limits

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x², a = 2 A. P3(x) = 1 +8(x- 2) +…

A: Let's find.

Q: Given r→(t)=⟨cos⁡2t,−sin2t,4t⟩, find the unit tangent vector

A:

Q: Find the plane determined by the intersecting lines. y = 2 + 2t L1 x= - 1+ 3t Z = 1- 4t L2 x = 1- 4s…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: 3. a) Describe the translations applied to the graph of y= x² to obtain a graph of the quadratic…

A: Here we have to use the transformation of graphs.

Q: Evaluate the double integral over the given region. 4x sin xy dA, R: 0sxST, Osys1 R O A. 4x O B. 4x…

A: solution

Q: Find the linearization L(x.y) of the function at each point. f(x,y) = x2 + y2 + 1 а. (3,2) b. (2,2)…

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Q: J.) Frawate 822-27. 922-9 lim Deser mire the domain 6.) F(x) =「メー %3D

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e 2x2 + y? - 8x…

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Q: Given the function f(x) = (x + 1)(x- 2). Find the interval where f(x) is increasing and decreasing.

A: The solution of question no 4 is given in the next step.

Q: Evaluate the improper (i) (2 – 2)-i dx

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

Q: 4) Consider the function g defined by ga, y) = cas (7x Jj )+ logg(x-y) (c) in what dire ction…

A: The given function is: gx, y=cosπxy+1log3x-y. Required formula: The maximum directional derivative…

Q: 2. Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and…

A: The vector perpendicular to the plane 5x-2y-z=4 is 5i-2j-k This allows us to write the point vector…

Q: Consider the following integral. |Fe dt Find a substitution to rewrite the integrand as - Le" du. u…

A: To find the value of given integral.

Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, dx *+ y = xy/3.

A: Differential equation

Q: In Exercises, the given vectors form a basis for a subspace w of R' or R'. Apply the Gram-Schmidt…

A: We have to obtain an orthogonal basis for w.

Q: se part one of the fundamental theorem of calculus to find the derivative of the function. g(x) (x)…

A: We have to find derivative

Q: If you can, please draw the grafic of this exercise

A: This question can be solved using the concept of drawing parametric curves.

Q: Using the key matrix A = decode the message: 36 50 53 76 29 34 15 22 37 64 (Note: Use 27 for space…

A: Concept: Matrix: A matrix is a row-and-column mathematical structure. The Aij element of a matrix,…

Q: 2. of the image graph in terms of x? y 2-3 C. y= 2(1-x+2|- 3) D. y= (1-2x+ 2|-3) A. y= -|2x +2|- 3…

A: Consider the graph

Q: Use Ring Method Rotate the region bounded by x = (y – 3)2 and x = 16 about the x = -5.

A: Let's find.

Q: 2. Determine el área de la superficie generada al girar la curva dada alrededor del eje…

A: solution:-x=13t3,    y=t+1x∈1, 2rotating around the "y" axissurface area of…

Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

A:

Q: Next ques Use the Integral Test to determine if the series shown below converges or diverges. Be…

A: Here, the given series is: ∑k=5∞9kln2k

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = on the interval…

A:

Q: Given f(x) = (2x - 3)" (x+1). Determine (if any)

A: Given

Q: Given f(x) = (2x -3) (x+1). Determine (if any)

A: Differentiation

Q: 1 an 1 Use the transformation u = 2x+ y, v=x+ 3y to evaluate the given integral for the region R…

A: Given

Q: Evaluate the integral by interpreting it in terms of areas. (10 – 5x) dx Need Help? Read It Watch It

A: Please see the answer below.

Q: 1. Evaluate the following integrals. csc 0)(1+ sin² 0 + sin 0 cot² 0) do a.

A: To find out the integration.

Q: 5. а. ³(1 + t4)³ dt

A:

Q: If a, ß be the roots of m (x-x)+ 2mx +3 = Q and m,m, be the two values of m for which a, B are…

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Q: 1. Find the area bounded by the parabolas y? = 4 and y²+12x = 36 2. Find the Area bounded by the…

A: Given :     Curves and find area by integration

Q: 32 RELATED RATES TUTORIAL 32 d0 when the angle is TC radian ? top of the ladder and the wall…

A:

Q: Assume that the number of barbeque dinners that can be sold, x can be related to the price charged,…

A: Given query is to find marginal revenue.

Q: Solve ƒx² ln(x) dx using Integration by Parts. Use u = In(x) and v = x². Answer:

A: Given integral is  ∫x2ln(x) dx. we have to find the value of the integration using integral by parts…

Q: Use implicit differentiation to determine dy/dx given the equation x^5+y^2=−4

A: implicit differentiation to determine dy/dx given the equation    x5+y2=−4