Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. NOTE: Enter the craet answer as improper fraction if necessary. 1 36k2 + 24k – 5 The series diverges.

Q: c) h(p,g,0) = psin@cose ah sin@cos0 ; ah = pcos@cose answer: - %3D ah =-p sinøsin0 d) W(P,V,8,v.g)= ...

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Q: 용 -6 -5 -3 -2 3 6 -2 -4 -5- -6 -7 lim f(x) = Enter the limit. If the limit is o, enter oo. If the li...

A: Topic:- limits   

Q: Examples I Problem 1. If a + b c+d 4 6. c -d a- b] 10 2 ; ")-) find a, b, c, and d.

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Q: 16 Evaluate ex12 (x4 – 2x² + 1)²dx. 81

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Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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Q: Let f(x, y) = 6x – 2ry and the point M(5, 9). Among all unit directions, there is a unit direction (...

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Q: Perform the indicated operation and simplify if possible. 17. 17 O A. V7 O B. 7 OC. V14 O D. V49

A: Topic:- simplification

Q: e the differential equatons 2x + X dx I+ x²y2 I+ (xy)2/ ay dy

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We have to find the differential equations of the family of curve that

Q: we will use the notations A, B, and C to denote the angular measure of the interior angles of the tr...

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Q: Multiples of 7 are written next to each other 714212835.... Find 2020th digit. A) 1 В 3 C 5 D 8

A: Given:- Multiples of 7 are written next to each other 714212835.... Find 2020th digit.

Q: Evaluate the expression. 3 4 O A. -81 O B. 81 Ос. 81 1 O D. (-81)

A: We can find the answer as below in simplified form.

Q: 5) Given a curve y = f(x) has a tangent line y = 3x - 4 at a point (- 2, 1) and a tangent line y = -...

A: Topic  = Derivative As per guidelines , At a time only one question can be answered.

Q: (x+1)(x³-2x²-x+2)*/x*(x8=4x++4)² dx equals x2-x-2

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Q: y + = x2+y2 dx xdy when x=J3', y=1

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Q: dy 2. x + ( 1+x)y e -Xsin2x dx

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Q: (b) Find an operator A that annihlates the following functions. i. In(x) ii. to , α ε R iii. sin(3 I...

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Q: 2. A hemisphere of radus 12 nches and base up is full of water that runs out through an orifice of a...

A: Dimensions of a hemisphere tank are: Radius R=12 inches or 0.3048 mHeight of tank H1=Radius of tank ...

Q: 4. An imaginary ant is walking on an imaginary cartesian plane so that at any point (x, y) it moves ...

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Q: The shadow of a vertical tower is 73.0-ft long when the angle of elevation of the sun is 32.0°. Find...

A: From the given information, we find the height of the tower

Q: Problem 3 Use integration by parts to prove the following reduction formula where n> 2. 1 | sin" (x)...

A: Given problem:-  

Q: FIND THE POLINATIVE. fo = sinx/secx t x² %3D

A: Note:- Here i think problem is Type 1 f(x) = sin(x)/sec(x) +x2  Or  Type 2 f(x) =sin(x) /(sec(x) +x...

Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

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Q: Let f(x, y) = (x+(G))'. Determine the directional derivative of f at the point (1,0) in the directio...

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Q: dy = (y2xe^ - 3x²y)dx

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Q: Using the notations A, BA, B and CC to denote the angular measure of the interior angles of the tria...

A: We know, 2ab cos C = a² + b² - c²  So, 2ab (- sin C) (∂C/∂c) = - 2c  So, (ab sin C) (∂C/∂c) = c  So,...

Q: me pung Find ow and dw for fihe folloing fune W=メboi (xャロ) %3D メ+リ

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Q: particle moves along the x axis so that its velocity at time t is given by v(t) = (t^6 -13t^4+12)/10...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

A: We have to find the equation of normal and tangent line. 

Q: A minute hand on a clock is 5 inches long. Determine how far the tip of the minute hand travels betw...

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Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: Solve dy 2 3y dx 2.x ||

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y a...

Q: A) Determines the intersection of the lines: r, (t) = (1,4,0) + t(-2,1,1) and r,(s): x = 2- 3s,y = 1...

A: Solve for graph and plane. 

Q: Fill in the blanks with an appropriate word, phrase, or symbol(s). The set of numbers {0, 1, 2, 3, 4...

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Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value....

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Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

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Q: (カナ) 2.

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Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

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Q: Find the unit vector i in the direction of the vector v = (6, - 1). Type your answer in component fo...

A: v→=6,-1v→=36+1=37

Q: Use the figure to determine the radian measure of angle 0. Then approximate the degree measure of 0....

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Q: (b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").

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Q: - Determine if the function is even, odd, or neither. State its symmetry, if any, and graph. (a) f(x...

A: Even and odd function 

Q: Given the matrix A= 3. Find 1. 2. QR factorization of the matrs A.

A: NOTE: Refresh your page if you can't see any equations. . 3 column vectors of matrix A are

Q: find the differential equation of the family of plane curves described. draw at least 3 members of t...

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Q: Evaluate the following integral: 68 e2x + dx 2e* + 17

A: I am attaching image so that you understand each and every step.

Q: Solve the differential equation: (2x-y+2) dy + (x-2y+4) dx =0  Please also state which or the follow...

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Q: (e* + y)dx + ( 2+x+ ye )dy =0

A: See the details solution in below

Q: Solve in linear equation or bernoulli (2x+3)y'= y+y²(2x+3)^½

A: 2x+3dydx =y+y22x+312