a(2))® dz: Consider the indefinite integral This can be transformed into a basic integral by letting u = and du = dz Performing the substitution yields the integral du

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Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 9x from (9, 9) to (0,0). NOTE: Enter…

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Q: The Divergence Test for infinite series (also called the "n-th term test fo divergence of a series")…

A: To solve the following problem

Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

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Q: 2. Find the orthogonal trajectories of the family of parabolas y = cx O In(x² + y² ) = c O 2r? + y²…

A: Explanation of the answer is as follows

Q: Solve the problem. Let D be the region bounded below by the cone z-x2+y2 and above by the sphere z-…

A: Given

Q: Describe the graph of the equation. r = - 2i + tj + (t² – 1)k O Itis a parabola in the x = 2 plane,…

A: Here we  have to identify the vector.

Q: Find div F and curl F if F(x, y, z) = 13y°z³i – 9x*z³j – 4ry°k. div F= curl F=

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Q: Determine the vector field of F. (x, y) = 12i – 4j 1

A: given isF(x,y)=12i-4jgraph of vector field of F is attached below

Q: Find curl (2z i + 3x j + 5y k). url(2z i + 3x j + 5y k) = ( i )i + ( )j + ( 3 )k

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Q: L. dr 16. (I + 2)² 1 dz 17. x(x+2) 18. / arctan Vr dr

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Q: 2) Find and of the following equation then simplify whenever possible. dx² x = Cos ß + Sin ß y = Sin…

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Q: for x[z] given by z1 x[z]: 1-z2 then X[00] equal to Select one: a. 0.5 b. 0

A: B is the correct option.

Q: Solve d 4me-m2 dy dm

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Q: Evaluate the integral (12x + 12y)dx + (9x-y)dy along the parabolic arc y = x from (0,0) to (1,1).…

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Q: Find div F and curl F if F(x, y, z) = x*i – 5j + yzk. - div F= curl F=

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Q: Line segment AB is a diameter of the x² +y² + z² - 2z + 8y = 9. Find point B if A = (0, у, 0).

A: To find the point B if Coordinates  of A are given for the sphere.

Q: е. 2хе** dx

A: The student has asked for the solution of part e This question can be solved using the concept of…

Q: Definite Integral. 2.) S x²(2x³ + 1)*dx 4.) x?e*dx 6.) f- xp:

A: To integrate.

Q: 13. 1²V2 - 1 dr

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Follow the procedure given below.

Q: Solve the differential equation Integrating Factor by Linear Equation: dx + xcoty = ecosy dy

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Q: dx (x- 3)

A: As per our guidelines, we are supposed to answer only one question. Kindly repost other questions as…

Q: 1 Without a table of values and using index laws, sketch y 2*-

A: y=12x 2-1 y=12x2 y=22x

Q: Determine whether the given improper integrals are convergent or divergent. Evaluate those that are…

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Q: Find div F and curl F if F(x, y, z) = 17y®z*i – 8x'z®j – 4cy°k. %3D - div F= curl F=

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Q: 3 d : 4me-m2 dy. dm

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Jo 4 +t°

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Q: 9.) JE sin°(x)cos*(x)dx 11.) F sin°(x)cos²(x)dx 2

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

Q: I. Evaluate the following Definite Integral. 1.) Lº 6x³+4x²-8x 2.) x²(2x³ + 1) dx dx 2x 3.) sin…

A: Given

Q: INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) F(x) f'(x) lim = lim Еquation…

A: This question is based on L hospitals rule.

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: We have to find the values of vector valued functions.

Q: Evaluate T COs(T-a)-sin 글(ㅠ- z) - ㅠ lim T - x

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Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

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Q: 129, given 18) Find y'= A) 2y/(2x - sin y) C) - 2x/(2y - cos y) in terms of x and y for an Implicit…

A: Given; y^2+x^2=siny+4

Q: Find div F and curl F if F(x, y, z) = 3e™Y i– 3 cos yj+ 10 div F=

A: Given: 3exyi-3cosyj+10sin2zk

Q: Obtain the limits of the following functions: (2sinx-sin2x 1. lim x-sinx

A: To evaluate the limit of the function.

Q: dz 14. Evaluate S z(4+2)

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Q: Evaluate (2x - y) dx + (x + 5y) dy.

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Q: Take

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Q: A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy…

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Q: Find curl (4zi+ 5xj+8yk). curl(4zi+ 5xj+ 8y k) = ( i )i + ( i )j+( i %3D

A: As we know that; The expression for the curl of the vector point function F→=F1i+F2j+F3k is; curl…

Q: Evaluate the line integral ( 9х + 5у)da + (х — у)dy along the curve C : x = 6 cos t, y = 12 sin t…

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Q: dy 4 + 4y = xe'

A: To solve the differential equation by using method of undetermined coefficients.

Q: Evaluate the integral / (2x + 12y)dx + (24x – y)dy along the parabolic arc y = x² from (0,0) to…

A: For the arc y = x2 and the range of x from 0 to 1. So, dy = 2x dx. Now,…

Q: Find T(t) and N(t) at the given point. r(t) = (t – 5)i + tj; t= 5 T(5) N(5) =

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Q: Hi, I believe the function was not entered correctly in the transcription. It should be x^2-16/x-2.…

A: Apologies for the inconvenience. First two steps were correct in the original solution. Step 3 was…

Q: 'ind V · (V × F) if F(x, y, z) = 9 sin ci + 5 cos(9x – 10y)j + 2zk. - V · (V × F) =

A: To find div (curl F).

Q: 524–121x4 lim x00 62xº+24x4+234x³+11x2+169 ||

A: