Find the vector projy u. u = 3 i - j+ 3 k, V = 2 i+ j+ 2 k

Q: b. In x? dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

A: This is a problem related to finding out are using integration. Please follow the procedure given…

Q: INSTRUCTION/S: Evaluate each limit by two methods. TOPIC: INDETERMINATE FORMS FIRST METHOD (Partial…

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Q: ) Sypposef and g are functions with continuoUS elerivatives, and that they satisty the following. is…

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Q: (2a+1)(x–2) lim x00 (3x-1)(x+2

A: Given query is to find the limit of the expression.

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Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 5xyz k. V x (V × F)

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Q: Use double integration to find the volume of the solid bounded by the cylinder x² + y? = 16 and the…

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Q: D) 2/0- D)-2y/C 9) Given a piecewise function below f(x) = (1- x)*n (x>0) , Find lim f(x) =r hpli te…

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Q: 6. lim (sinx)*

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Q: n² < 2" for n = 4, 5, 6, ... (Hint: 2n + 1 < 2" for n= 3,4,5, ...)

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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: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Given query is to find rolle's theorem can be used or not.

Q: Evaluate the line integral -ydr + rdy along the curve C : y² = 6x from (6, 6) to (0,0). NOTE: Enter…

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Q: Describe the applied transformations from y = 32 to %3D graph the function g(x) = -2(3)-2x-6 + 9 %3D

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Q: Evaluate Soni Sm e" sin(e")e dædy cIn 1

A: Integral

Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f (x) = e* at a = 2

A: A detailed solution is given below.

Q: Question 28 Find T, N, and B for the given space curve. r(t) = (In (cos t) + 8) i + 7 j + (5+t) k,…

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Q: Question 8 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+y…

A: Application of integration

Q: 22. (x+1)v2r-1 dr

A: Note: According to our expert guidelines only one individual question is to be answered kindly…

Q: ) Sypposef and g are functionns with continu lerivatives, and that they satisty the followia…

A: “Since you have asked multiple Questions, we will solve the first question for you. If you want any…

Q: Solve the differential equation Integrating Factor by Linear Equation: (xy² + x²)dy + xydx = 0 %3D

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Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: A detailed solution is given below.

Q: dx (x- 3)

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

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A: Here , we have given an integral and we have to integrate over a rectangle whose vertices are given…

Q: A particle started to move from the origin along a curve with velocity given by the function v(T) =…

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Q: Follow the instructions. Typewritten for upvote.

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Q: Find V (F x G), if F(r, y, z) G(x, y, z) = xi+ yj - zk. = 2xi +j+ 8yk and V. (F x G) =

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Q: Find the radius of convergence, R, of the series. Σ n = 1 R = Find the interval, I, of convergence…

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Q: (d) The curve y = x – x² from r = 0 to r = 2

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Q: Find curl(Sz i+6x j + 7y k), curl(Sz i+ 6x j + 7y k) =( i+(

A: This question van be solved using the concept of curl F.

Q: Question 7 Use cylindrical shells to find the volume of the solid generated when the region enclosed…

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Q: For the given vectors a and b, find the cross product a x b. (2, 0, -3), b = (2, 1, 0) a x b = %3D

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Q: If f (x)= [a(«) =os* '(5) [1+ sin(t?)] dt find f 1 dt, where g(x) V1+t3 COS X

A: We need to find value of derivative.

Q: Q6 Find dy, if y= +++

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Q: Solve the following differential equations of cos (y) y'+sin(y) = x

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Q: 3. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1…

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Q: M-2-Sin(X y) nd dm dt X = t. yclint Z=et-1

A: Differentiation

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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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: 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: 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: e* dx V1-e2x

A: Topic = Integration

Q: Use the following graph to answer the questions that follow. 325 Domestic supply 275 225 Price of…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e"i+ e*j к(t)

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Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Let, First number = x &amp; 2nd number = y therefore, x+y=25   &amp; x-y= 7

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. (y - x) dx +…

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

A: Given