* Integral use to solve if series converges or diverges, give example if true or false

Q: me rose r = 4 cos 30 has 1 petal cannot be determined 6 petals 3 petals

A: Topic:- application of functions

Q: What is the value of f(1) + g(1)?

A: This question can be solved using integration by parts.

Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: The solution of the equation below can be represented as y(x) = yn (x) + yp(x). y" + 3y' - 4y = 3x +…

A: To find the corresponding particular solution of the given differential equation.

Q: Consider the region on the 1st quadrant bounded by y = √4 - x², x and y- axes. If the region is…

A: Given problem:-

Q: Evaluate S dx √x² +25

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Q: Consider a point in Cartesian coordinates given by (3√√/3, −3, −8). (a) Find a corresponding…

A: The given Cartesian coordinates are: (x,y,z)=(33,-3,-8) Now, the Cylindrical coordinates is given…

Q: The force on the triangular plate that is submerged in water as shown below waters surface 6m 4m is…

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Q: The domain and the range of z=cos-¹(x²-y-3). are represented respectively by O A. ¨D={(x,y) = RxR :…

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Q: Numerical Integration: 2 1 1. 2. =dx X 5 (2x² – 3x) dx 0 2

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Q: Evaluate (²6² 0 Oa. 16 946 O b. 16 936 O c. 8 945 O d. None of the choices. O e. 16 945 1 1-y - xy…

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Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: The numerical value of the lim n+3 nln (2) "→ ∞ \ 11 + 1 is equal to

A: We need to evaluate the value of the following limit limn→∞n+3n+1nln2 Formula Used: limx→∞1+axx = ea

Q: create 2 sample word problems of chain rule of differentiation  with solutions

A: Solution:

Q: (x) = x² tan 3x+cot 3x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: A B Ⓒ 1 D 2 E 3 3 4 3 ["/* sect sec*x dx

A: The integration of the integral is sec4x limit from 0 to pi/4.

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx VI…

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Q: Given the following characteristics, select the function family that is described. Shape: no curve…

A: To identify the family of curve.

Q: Consider the ODE: dy xtan (7) + y dx a. Show that the ODE is a homogeneous first-order ODE. b. Solve…

A: The given differential equation is;  xdy/dx =xtan(y/x) +y.

Q: Find the solution of the following initial value problem d2y/dx2 + 2 dy/dx − 3y = 12ex ,  y = 0 and…

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Q: Find O does not exist O-1/2 00 01 D 01/2 O Other e-1-1

A: We have to find the limit

Q: The directional derivative of f(x,y,z) = In 1+yz from P to Q(-1,-1,2) is given by .... .(Correct to…

A: Given :f(x,y,z)=lnx21+yz-3xz2

Q: What is the graph of r cos 0 + r sin 0 = 1? Oline with slope m-1 and intercept b=0 Oline with slope…

A: We know that x = rcos(theta) and y = rsin(theta)

Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as an INTEGER value, with NO…

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Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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Q: In evaluating 5 dx is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.67. x²-g…

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Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

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Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

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Q: Which ONE of the following statements is FALSE? OA. If the function f (x,y) is maximum at the point…

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Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x <2 or 4<x. C. None of the choices in…

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Q: Illustrate the angle 5π Answer in 20mins

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Q: The integral can be rewritten as 6u³ (a). Su + 1 di du 6u4 (c). √ ₁² + 1 du dx ³√x + √x S 6u² (b). √…

A: Given :∫dxx3+x

Q: x² + 8x - 9 x1 x³2x² - 5x + 6 t³7t² + 16t - 12 t4 - 4t³+ 4t² 4. lim 5. lim t-2

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Q: provided. f6x³(2x5 + 2)dx

A: We expert are following guidelines we are supposed to do the first question. Please put another…

Q: Consider the vector-valued function In(2t + 1) sin t R(t) = î+ t t Redefine (t) such that it is…

A: we say the R(t)  is continuous at t=0  if limt→0 R→(t)= R(0)

Q: The power series representation of f(x) = n(x²-1) is given by ΑΣ (-1) -1. I =1<x<l #ΞΙ 8+1 B. None…

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Q: The radius of convergence of the series Place) (-1)" (n!) 0 3-6-9. (3n) (2x-1)" is equal to…

A: To find the radius of convergence of the given series.

Q: Evaluate the following double integral over the given region R. [[ 2 ln(x + 1) (x + 1)y Use…

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…

A: The integration of the integral is 1/[x^(1/3)+x^(1/2)].

Q: 4. If A = 3xyz²i + 2xy³j- x²yzk and p = 3x² - yz, find (a) V-A, (b) A-V4, (c) V-(Vo) at point (1,-1,…

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Q: 7.) (2x-y)y=4x-2y-5

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Show that if the function f(x, y) = ecos-e-cosx, satisfies Laplace Equation.

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Q: evaluate * √2 2 dw √11+10w-w² O = -0.7973 O=-11.574 = -0.7297 One Hand on Pen, Other on Phone, One…

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Q: Find two numbers whose sum is a, if the product of the square of one by the cube of the other is to…

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Q: B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

A: Given :∫cosxcos4xdx

Q: Find the derivative of the following using the differentiation rules. (x²-2x) (In x³-3 tan x) x√x y…

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Q: Let u = (1, 2, –4), v = (-5, 3, -7), and w = (-1,4, 2). Perform the operation u. Type your answer...…

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Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

Q: Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3– f(t)=sinh(2t); 5-cosh…

A: We have to solve given Questions.

Q: X 4e -aluate of v dx 2 se rationalizing substitution. 8

A: solution is given below