dy r +3x+3 Find if y= I + 2 da dy da

Q: Which of the following equations has amplitude = -2, period = 4, phase shift = - I? %3D y = -2cos8(x...

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Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

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Q: Explain how you would approximate the slope of the tangent at a point without using first principles...

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Q: Solve sin 40 cos³ 0 d0

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Q: (x² – 3 if x<2 5-x if x22 Sketch the graph of the piecewise defined function: g(x)=<

A: The given function is:

Q: 4. lim f(x) = +o0, x-3- lim f(x) = -o 0- x-3+

A: here we have to draw the graph which satisfies the given conditions.

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

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Q: Therefore, we have 3w?- 7w + 5 - 3w2 7w/2, sw 1/2 Now, since the function Is a sum of power function...

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Q: sec 2 2 O tan´y dx = secx dy

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Fill in the template. We want the 3D TANGENT line to the associated parametric curve: r (t) = (tan- ...

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Q: A fast-food restaurant has a cost of production C(x)=11x+90 and a revenue function R(x)=6x. When doe...

A: Given:       Cx=11x+90       Rx=6x So, the profit function is:     Px=Rx-Cx

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx...

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Q: # 17 17. f(x)=- (2x+3) (x² +1)'

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Q: If R is the region bounded by the lines y = x,y=0,x= 1, evaluate the dxdy double integral S by chang...

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Q: Find for y =. (Sim %3D

A: y = x2/ e3x  

Q: sin r lim ,3 81.

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Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle ...

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Q: tan? y dx = sec2 x dy %3D

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Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and S = {x|x >4 and x E even integers}. Find s' O s' = {Ø} O...

A: If S is a set, then complement of set S will contain all the elements in the given universal set (U)...

Q: Find an arc length L of the curve given by r(t) = ⟨2 + cos 3t, 3 − sin 3t, √ t^3⟩ for 0 ≤ t ≤ 5 exac...

A: The arc-length formula is: L=∫ab(x'(t))2+(y'(t))2+(z'(t))2dt...(1)

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)? 2. у %3D х?(х — 1) (2х — 5)2

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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: Now recall the general version of the power rule, where n is any real number. d = nx" – 1 dx Applyin...

A: Basic derivative problem

Q: Use the four-step process to find f'(x), and then find f'(1), f'(2), and f'(3). f(x) = 4 + 5-/x f'(x...

A: Given the query is to find the derivative of the expression using definition.

Q: Find dy at x = -1 if y = u’ +5u – 4 and u = x² +x . dx

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Q: 9. y = Vr² (2x – z²)

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Q: Determine the value of the literal numbers in the given matrix equality. C+D - 1 aarA 6C -D -34 D- 5...

A: Given query is to find the value of C,D,E.

Q: The angular velocity of a point on a circle with radius of 12 feet is 15 T radians per second. Find ...

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Q: 9w2 - 5w + 7 y = = 9w3/2 - 5w1/2+ 7w¯1/2. Vw Now, since the function is a sum of power functions, we...

A: Given that some function and we find derivative of this function. We use derivative of d(u+v)= du+dv...

Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: 1. Using the definition of derivative, find the derivative of the follow Homework: 1. Using the defi...

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Q: Determine the Laplace transform of f(t) = (5t^3)(e^6t)

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Q: В. Transform the following equations into its general form. 1. 1)2 212 2.

A: Given that:

Q: of

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Q: Given the parametric equations, x = 3/t and y = t - 2, eliminate the parameter. y = --2 y = +2 y = +...

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

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Q: Evaluate the limit 5(y? – 1) lim y→4 8y2(y – 1)°

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Q: Evaluate the limit t3 – t lim t→1 t2 – 1

A: We have to find the given limit.

Q: Consider the series. 37+1 Зп + 1 n=1 Does the series converge or diverge? Select answers from the dr...

A: Topic:- sequence and series

Q: x2 -25 a) Find the vertical asymptotes and removable discontinuities of the graph of f(x) = x3 -6x2+...

A: Topic:- function   

Q: Use the cylindrical shell method to find the volume of the solid obtained by rotating the region bou...

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Q: Check the differentiability and continuity of the function below.: 3x 1. f(x) = 2. f(x) = 5- x² at x...

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Q: A new car was purchased at a cost of $25,000. The car depreciates approximately 15% of its value eac...

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Q: Using logarithmic differentiation fx) = x° [2x+ 3 (x*+1)4

A: NOTE: Refresh your page if you can't see any equations. . take log on both sides

Q: 14. Evaluate y" or d'y of the function when x = 0. dx'

A: To find the y'''for the given equation 13x3+13y3=132  at x=0

Q: Find the slope of the tangent line to the curve la? + 4xy + 2y 32 at the point (- 4, 2). -

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

A: Given the series is ∑i=0∞ -1·32i

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

A: Integration

Q: 3 The graph of the system of linear equations below is shown in the LESSON 12 SESSION 1 > Complete p...

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