Find the equation of the line tangent to the graph of y=4e" at x = 3. Tangent Line: y =

Q: lim 2² = ?? 270 25 DONT USE L'HÔPITAL USE MATHMATICAL PROOF MATH ANALYSIS

A: To find

Q: Evaluate the integral by reversing the order of integration. 4 64 ["h y 6e** dx dy

A: given integration

Q: In Exercises 1-16, use the Law of Sines to solve each triangle, if possible. Round each answer to…

A: By using the Law of Sines  to solvethe following triangle.v

Q: If f(x) is continuous and ſ² f(x)dx = 225.1, what is b [. Round your answer to two decimal places.…

A: If  is continous and , to find .

Q: alculate the derivative of the following function. y = (p+e)5 sin p³ 3 ***

A:

Q: . lim z--2 A) 1 A B /2x+5-1 x+2 B) 0 C) ∞ D) -∞ E) does not

A: we need to find out the limit."As per the rules, we are supposed to answer the first question and…

Q: Differentiate. f(x) = 15x e f'(x) =

A: Given Function is as follows

Q: Determine x = f(t) for dx (₁²+2t) = 2x + 2, t> 0; f(1) = 4. dt

A: To determine  for .

Q: 11. A conical water tank with a vertex angle of 60° is being filled with water at a constant rate of…

A: Let r be the radius of the water surface and h be the height of the water inside the cone at any…

Q: Differentiate. dy dx In x y= 12 X ||

A: we need to find out the derivative of the given function.

Q: Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G′(2) = 5, G(3) = 6, G′(3) = 2, find…

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Q: -. Find dy and Ayat x = 8 with X he exact answers.

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Q: Find the exact length of the curve. 36y² = (x² - 4)³, 2≤x≤6, y 20

A: Find the exact length of the curve.36y2=(x2−4)3,2≤x≤6,y≥0

Q: 8. A = [₁ 2].B= 0 3 -5 1 2 4 3 -1 6 045 0

A:

Q: It is given to you that an equation of the tangent line to the graph of y= g(x) at x= 9 is 4x+10y=…

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Q: Differentiate. f(x)= x³ In 7x 3 f'(x) =

A: Product Formula for differentiation is given as follows

Q: Determine the limits of: 3N (1 + 2/3 3³

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Q: a) Find formula for f(x) if f(x) = 5x-1

A:

Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

A:

Q: Given the demand function D(p) = 200 – 3p², Find the Elasticity of Demand at a price of $7 At this…

A:

Q: Find the maximum and minimum values of the function y = 8√√x² + 1 - x on the interval [0, 3]. (Round…

A:

Q: 2t - e -2t Let h(t) Find the horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

A:

Q: Calculate p'(1) if p(x) = (f(x) + g(x))¹.

A: The given function .The aim is to find the value of the derivative .

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 68°C, it…

A: A freshly brewed cup of coffee has temperature 95°C in a 20°C room.When its temperature is 68°C, it…

Q: Match each scatterplot shown below with one of the four specified correlations. O O 00 %%0 O 08 Ⓡ 0%…

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Q: The function f is defined by f(x) = x² cos (3x + 4). Use a calculator to write the equation of the…

A: f(x)=x2−cos⁡(3x+4)

Q: -4 -3 -2 -1 4 3 2 1 -1 -2 -3 -4 1 2 3 4 20x For the above rational function f( x ) = 3.5r2 +3…

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Q: Multiply: (2+5i)(2−13i). Give your answer in complex standard form a+bi.

A:

Q: Winter FunⒸ has determined that the total cost (in dollars) for its west coast factory to produce…

A:

Q: 2) Determine whether the sequence is convergent or divergent. If it is convergent, find its limit…

A: To determine whether the sequence is convergent or divergent. If it is convergent, then to find its…

Q: 7. A = [1 2 3], B = 3 4 5

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Q: y = ln(5t³ - 6) y = ln(4- 3x²)

A: y=ln⁡(5t3−6)

Q: Find formulas for dy and Ay if y = x² - 2x + 1. dy =

A:

Q: Suppose the demand for a product is given by D(p) = −4p + 111. A) Calculate the elasticity of demand…

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Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

A: Question No. 1: To verify that  is a solution to .Note: Since the student has posted multiple…

Q: Find the area of the region enclosed by one loop of the curve. r = 2 sin(90)

A: r=2sin⁡(9θ)

Q: Compute the differential dz of the function. = x ¹⁰y5

A: To compute the differential  of the following function.

Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.08. y = √√3x - 2 Enter…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: (a) Setup an integral to calculate the area between the curves r = 2 + sin 30 and r = 4 - cos 30.

A: As per guidelines we can answer only first question if multiple questions are posted.Please repost…

Q: d the derivative of :) = €5* (x² +9¹)

A:

Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

A:

Q: A = 24 13]. B , B = 0 3-2 4 5

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Q: The function f(x) = -3√x - 15 +14 x > 15 has an inverse f-¹(x) defined on the domain x < 14. Find…

A:

Q: Find the derivative for each of the following inverse trig. functions. (a) dª arctan(7x) = dr (b)…

A: We know,

Q: The hyperbolic cosine function cosh x (pronounced ‘kosh’) is used to describe a catenary, the shape…

A:

Q: Solve the equation and check your solution. 5x − 14 3 X = 15+X -2 +4

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Q: Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

A: As we know that

Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

A:

Q: Find the differential of each function. U+ 22 22 U-2 (a) y = dy = (b) y = (1+³)-2 dy =

A: Here we can write, 2=-2+4

Q: For the demand function q = D(p) = 344 - p, find the following. a) The elasticity b) The elasticity…

A: