Find the infinite sum (if it exists): () -1· i=0 If the sum does not exists, type DNE in the answer blank. Sum = 2

Q: Find dy/dx: (a). y = cos 8x + sin r2, (b). y = Vcos 8x + sin x². %3D

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Q: Find the average rate of change of the function over the given intervals. f(x) = 9x° +9; a) [1,3], b...

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Q: Consider two vector equations ℓ1 : ⟨x, y, z⟩ = ⟨3, 7, 4⟩ + t⟨2, 3, 1⟩, for some parameter t, ℓ2 : ⟨x...

A: Check the Ratio of direction ratios of both the lines. 

Q: 3 Below is the graph of y =x. Translate it to make it the graph of y = (x+1)– 2. 中

A: We need to translate y=x3 to the graph of y=(x+1)3-2. That is, I'll shift the graph by 1 unit to the...

Q: 2. f(x) = x2 - 5x +6 A. x 1 B. x =-3

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

Q: (2xy +y Jdx + Cx*- x)dy-e 3

A: Given:- (2xy+y)dx+(x2-x) dy=0 To find:- GENERAL SOLUTION FOR GIVEN DIFFERENTIAL EQUATION

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(3) when the deri...

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Q: y"-3y'-4y = 2x² - 3 %3D

A: First solve for homogeneous part and then find particular integral  resulting will be required solut...

Q: Find the exact area under the curve between the indicated values of x. y = -x2 + 9; between x = 0 an...

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Q: 12x + 13x2 lim 13x3 - 7

A: limx→∞12x3+13x213x3-7=limx→∞x3(12+13x2x3)x3(13-7x3)=limx→∞(12+13x)(13-7x3)=(12+0)(13-0)=1213

Q: 3. Center: (3, -5) radius: 2

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Q: -3 dz Find S 225922=4

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Q: RAGLIO Use a table of values to estimate the value of the limit of lim Vx + 4 – 2 2. f(x) f(x)

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Q: Determine whether the function x2 + 2 x > 2 f(x) = x = 2 is continuous at the 4х — 2 x < 2 given poi...

A: First of all we will find the left hand limit at X equal to 2 and then find the right hand limit X e...

Q: Factor the difference an+1 – a, to show that the given sequence {an} is strictly increasing or stric...

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Q: the followiI 4x-x2 1) lim-4 2-Vx

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: 1. Find the equations of the normal and osculating planes of the curve x Int, y 2t, z = t2 at the po...

A: Equation of the plane :  r→.n^ =a→.n^ ; where 'r→' is the position vector and 'a→' is the given poin...

Q: 1 (b) 49 343 61 343 An = 3 7 11 15 (1s 12 16" 27 64 VaV V云 8 (c) (d) an三

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Q: Evaluate the following limits: z² + 4z – 12 z² – 2x 3. lim

A: 3) To evaluate the limit: limx→2x2+4x-12x2-2x

Q: # 17 17. f(x)=- (2x+3) (x² +1)'

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Q: Question 3 A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m lon...

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Q: To evaluate: The integral function x2 +x + 1 -dx. (x² + 1)²

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Q: Find the slope of the tangent line to the curve 2x2 + 4xy- 2y = 142 - at the point (– 1, – 4).

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Q: x² 1. dx X=3 cos 0 /9—х2

A: Given that: ∫x29-x2dx

Q: If z = x + y is an objective function to maximize, with restrictions x ≥ 0; and ≥ 0; y ≥ x; y≤5. The...

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Q: Identify the quadric surface each of the following equations represent and sketch its graph.

A: Given:- -4x2 + y2 -25z2 =0

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=5x-5x+7. ...

A: Average rate of change of f(x) as x changes from a to b is given by, A(x) = [f(b) - f(a)]/(b - a)

Q: 1. Complete the table below. Ordinary or Partial Linear or Non- Order Independent Dependent Variable...

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Q: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

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Q: I. Write the equation of an ellipse from general to standard form. Write your final answer on the sp...

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Q: Perform the indicated operation and write the result in standard form. (2(cos 45° + i sin 45°))

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Q: 7. Evaluate the following integral: 30 cos (2x) sin2 (2x) dx

A: Given that: ∫30cos3(2x)sin2(2x)dx

Q: Find Dxy using IMPLICIT DIFFERENTIATION

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Q: 1. If ü= (2,-3), v=(1, -5), and w=(6, 2), determine the following: a) |ü +v| b) 3 ỹ -ū +w

A: a) u→+v→=(2,-3)+(1,-5)=2+1,-3-5=3,-8=32+(-8)2=9+64=73|u→+v→|=73

Q: Compute the unit binormal vector B for the following parameterized curve: F(t) 4 2 3t, 1

A: Given:    r(t) = ⟨ t2/2 , 4-3t , 1 ⟩

Q: dy from the equation vx + y = 1 + x'y² dx Evaluate when x =1

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Q: Suppose we know that the points P (0, -1, -1), Q(1, 1, 4), and R (2, -4, 0) form a triangle in 3-spa...

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Q: Here is the position function for projectile motion on the planet Glorg (gravity is different: g = 1...

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Q: Disney+ Use the matrices below to perform matrix multiplication. 4 -5 11 4 6 5 B = D = 9. 1 %3D -9 0...

A: Please refer to the image below

Q: Graph the following function. h(x) = |- 6x| Determine the transformation(s) that need to be applied ...

A: Given query is to find the transformation applied.

Q: Find the derivative. 1. y = Vx2 – 5 2. y = (2x? – 1)3(3x² + 1)3 (3x²-7)* (3x²+5)4 %3D

A: Since you have posted multiple questions I can do first three question as per our company guidelines...

Q: (a). [usin(u)du (b). ſu cos(u)du Hint: Use the result of (a) after one use of integration by parts! ...

A: I will provide you very good handwriting so that you can understand it

Q: The distance of a particle from some fixed point is given by the following function. s(t) =t +4t-3 a...

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Q: A. Evaluate each of the following definite integrals. 2 Sí (8x3 + 3x2) dx 5 S (1 + 2x – 4x²) dx 2. |...

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Q: dy Given the equation below, find dx 24x + 8x"y + y' 33 dy da Now, find the equation of the tangent ...

A: Given, the equation                             24x9+8x36y+y4=33 then diff. the above equation w.r. ...

Q: The calculation of the numerical values of key variables is the only reason to build models. True F...

A: This is a basic calculus problem

Q: Consider the sequence (") an = In ((n + 1)41 240 This sequence is not monotone for all n. Determine ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Written Works Find the equation of the tangent line to the following functions at the specified poin...

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Q: Write your complete solution on the box provided after each number. Determine the standard form of t...

A: Solution of General equation of ellipse is written in step2 and 3

Q: 3 cos- + isin 6. 6.

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