23 T Does the angle 45 have a compliment? If so, what is its compliment. If not, explain why.

Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

A: NOTE:- YOU HAVE POSTED MULTIPLE PART QUESTIONS. SO WE WILL ANSWER FIRST THREE PARTS OF THE QUESTIONS...

Q: Calculate the indefinite integral 6dy 25 –9y2 -

A: Given: ∫6dy25-9y2

Q: 9. (b + 4)e db

A: This question is based on Indefinite integration.

Q: This situation below applies to the next four problems A bacterial colony is cultivated in a petri d...

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Q: Consider the differential equation dy 1 dr? y3 A solution to the above equation is Select one:

A: Given :d2ydx2=1y3  

Q: 2.

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Q: If > uk and > v% are convergent series, then > (uk + v%) and 2(uk – Vk) are convergent series and th...

A: First we take partially fraction then we use sum of GP. 

Q: (0, 1) (0,0) (1,0) FIGURE 0.1. The triangle T of the problem. Consider the triangle T with vertices ...

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Q: Use the Integral Test to determine whether the infinite series is convergent. -n² 16ne n=4 Fill in t...

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Q: y(2x3 -x2y + y³)dx – x(2x3 + y3 )dy = 0

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Q: Calculate the integral: dx J (e² – 4)(e* + 6)

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

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Q: In(x) f f(x) = x10 ='(1) = 2, find f '(1). %3D

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Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² Select one: O True O False d/dx(xe2x) = 2xe2x...

A: We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f...

Q: 20/40) ty' + (t + 1)y = t, y(ln 2) = 1, t >0

A: Given, ty'+(t+1)y=t And initial condition y(ln2)=1

Q: What is the equivalent radian measure for the degree measure? Select True or False for each statemen...

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Q: solve

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Q: Use the chain rule to find the derivative of f(x) = 6V10r + 5a Type your answer without fractional o...

A: Topic = Derivative

Q: y = x- Sin 2x %3D

A: topic - derivative of a function

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) s(x)...

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Q: Evaluate: sin 1 (cos ( ) O sin-(cos () - O sin-(cos ()- O sin (cos ()-- 4. O sin (cos ()) = -

A: All trigonometry ratios  change at π2 and 3π2. In third Quadrant , tangent and cotangent are positiv...

Q: Discuss the continuity of the function: x² + 2x-4 x -2

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Q: x + 3x – 1 lim V4r6 – 2x エ→ーx 2.r

A: We have to find limit

Q: II. Solve for the general solution of the following differential equations. y' - 5y = 0 cos x tan y ...

A: Note: According to.our answering guidelines we have to answer only three sub parts in a question(if ...

Q: A closed cylindrical tank of circular cross-section has a radius of 2 ft. and a height of 6 ft. Use ...

A: Radius = 2 ft Height = 6 ft dr = 1 inchdr =112 ftdh = 1 + 1 (top+bottom)dh = 2 inchdh = 212 ft

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

A: The given equation is P(x) = -0.001x^2+5x-1875. We have to find maximum value of P(x) ( profit). Cle...

Q: Show complete and detailed solution of the differential equation. NO SHORTCUT!!! (ey+1)2e-ydx + (ex...

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Q: 3. y = ( lat x 1

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Q: decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the am...

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Q: Let g be a differentiable function such that g (10) 2e and g' (x) 5e-V. What is the value of g (2) ?...

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Q: f(t) = e-5t

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Q: Question 13. What is the value of the limit ty2 lim along the path x = 0? (x.y)(0,0) x2 + y (а) —1 (...

A: Topic = Limits

Q: A closed cylindrical tank of circular cross-section has a radius of 2 ft. and a height of 6 ft. Use ...

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Q: Test the series below for convergence using the Ratio Test. n² 0.8" n=1 The limit of the ratio test ...

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Q: For dy/dx = y2-3y classify the critical points as asympotically stable, unstable, or semi stable

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Q: Problem 4: If a = 4t,s = 16 whent = 4, and s = 25 when t = 6, find the equation of motion s = f (t) ...

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Q: n-1 9. Given the series - 8 n=1 Does this series converge or diverge? O converges O diverges If the ...

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Q: Find the derivatives c %3D b)' y = e(4*+) c) y = e*(sin x %3D d) y = In(3xe-> %3D

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 10 (x + y) dx - xdy ...

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Q: y + Jx² +y2 dx = xdy when x-3', y=l 4. %3D

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Q: Solve the differential equation by variation of parameters. y" + y = sin x y(x) =

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Q: Compute the given integral. sin xdx %3D +C

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Q: Find the second derivative in its simplified form. y=(7x^3 + 3)^6

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Q: tc os4e d E |- cos 40

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Q: Use any method to determine whether the series converge 1 (a) E k + 5k + 1 k=1 This series 1 (b) E; ...

A: We have to find convergence of series

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ? A dy dx x2- ...

A: Graph:

Q: Stan (y-t0) dy ( α年

A: Our Aim is to evaluate the integral given below:-∫tan y-π4 dy-(i)

Q: Find the derivatives of the following Trigonometric Functions and Inverse Trigonometric Functions:

A: y = ex sin-1xdydx = ex ddx(sin-1x) + sin-1x ddx(ex)        = ex 11-x2 + ex sin-1x 

Q: 1 [ (2 -y - VE) dy 2 – y – 0. 1 | (2-y (2 – y – V9) dy 0, 2 | (x² – (2 – æ)) dæ - 2 [ (2² – (2 – a))...

A: