Question 21 s(x) dx=A\4= 5x +C, for constants. 3 A and C, what is the value of A? Suppose f(x) = If 4- 5х

Q: Question 2. exponential curve y = e" at a point whose x-coordinate belongs to the interval (0,1).…

A: y=3-2x          &  y=ex   3-2=ex    ln 3-2x=x    For logarithmic function Domain 0,∞    Here…

Q: Question 13 If f(x) = √ and g(x) = x¹, what is the derivative of (fog)(x) with respect to x? O 1…

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Q: 7. If the distance d traveled is directly proportional to time t ela models that situation. A dxt =k…

A: It is given that,  Distance d travelled is directly proportional to ti,e elapse t.  ⇒d∝t

Q: Question 2 If f(x) = S dt for x > 1, find f'(2). 1+lnt

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Q: Question 13) A house attic that is triangular shape has a W= 12 ft and H =4 ft and depth of 25 ft.…

A: Consider the given information. Now, first the calculate CFM ( Cubic feet minute).  CFM=60 ft312…

Q: Question 17 Using the definition of a derivative, find s' (r) given s() =-x2 2x +3. Do not include s…

A: Given:

Q: Question 6 You do not need to simplify the answer. :) For each of the following, use the quotient…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question 8 cosh(12x) is The derivative of y=cosh2(6x) + y'=6 sinh (12r) +6 sinh (6x) cosh (6x) y'=6…

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Q: Coffee Cup Problem (5 and 6): Suppose you pour a cup of coffee. When it is poured, it is at D = 130°…

A: According to the given information when the coffee is poured it's temperature is D=130 degree F…

Q: Question 2: The definition of the exponential function involving the limit of h going to zero…

A: The function is fx=ex. Differentiate it: f'x=ex Then at c = 0.01, f'0.01=e0.01≈1.01 Perform…

Q: Question 3 Suppose x and y are variables (y is a function of x) that satisfy the equation x2-y=12,…

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Q: QUESTION 20 The velocity function below corresponds to the motion of a particle. If the velocity is…

A: Solution is given below:

Q: Question 7 [6;4] (a) Find the derivative of the function y = 2x² + 12 when x = 2.

A: Answer

Q: Question 6 Suppose that a particle moves along a straight line with velocity v(t) = 12 - 6t, where…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

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Q: e2= (x² + 1)² 2/rª – 1 3. Find the derivative of y = ln Make any obvious simplifications. -

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Q: Question 6 Find the derivative of the function y = 8ln(cos 2x)+ 5tan? (3x) Write the value of y' (0)…

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Q: Question 373 3x4 + 2 e-2z (7x + 2) Find the derivative of the function y using logarithmic…

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Q: Question 6 You do not need to simplify the answer. :) For each of the following, use the quotient…

A: Given,  f(x)= (x2+x)x-2 = (x2+x)/x2 = (1+1/x) differentiate with respect to X, f'(x)= d/dx 1 + d/dx…

Q: Question 10 If the brakes on a car can give the car a constant negative acceleration of 2k m/62 ,…

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Q: Question |–2x – 4 3x3. V 3x3 using logarithmic differentiation. 6 Find the derivative of the…

A: Some properties of logarithm are: logxy=logx+logy logxy=logx-logy logxn=nlogx

Q: QUESTION 7 The error bound in the Two-point forward formula, for the approximation of the derivative…

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Q: his Question: 1 pt Suppose that the price p, in dollars, and the number of sales, x, of a certain…

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Q: e Question 1 Evaluate dx. 4 + e6x Question 2 Evaluate ?V3x +2 dax. x3 dx. x + 3 Question 3 Evaluate

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Q: Question 5 > Find a particular solution to the equation using variation of parameters. y'' – 10y' +…

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Q: 5. If y is a function of x, find dy/dx of 8x 2+3xy + 9y 3+ 4y 2 = 7

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Q: cIn(2) Major Topic 1. (a) Compute dx er + 3 (b) Compute dr 1+ 76 (c) Find the equation for the…

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Q: Question 6 The area of a square is increasing at a constant rate of 1 cm2/sec. How fast is the…

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Q: Page 113 2. Find derivatives. y = 3-3* + log3(3x – 5) 10. The deer population in a wild park is…

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Q: Question 11 d²y is Blank 1. Find the second derivative of y= (x+5)² The dx- Blank 1 Add your answer

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Q: Question 19 1. Find the function whose derivative is e¯(e* + 1)?

A: Let's find.

Q: Question 3 Some people who don't appreciate the finer things in life brew coffee in a percolator…

A: The solution is given below in the next step:

Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

A: Note that  d/dx (x^n) = nx^(n-1)

Q: 1. 01 3. re2 dr 2x )/ alu 4. psia(x)gla x ln(x) dx x²e-x dx

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Q: 2 g(x) -1 3 5 7 -1 alculate g(x) dx . Round your answer to two decimal places. 3.

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Q: Question 4 Determine the derivative of the given function: y = (e + e*)3 Oy = 3(e+e) (e" - e) Oy =…

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Q: Question 2. The half-life is the time required for any specified property (e.g. the concentration of…

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Q: Problem 9 Find the derivative of the function y = x? cos (3x2 – 1) Show all steps of your…

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Q: A. Solve the given problems: Show your solution. 1. Use Richardson Extrapolation to estimate the…

A: Given That : y=cosx  step sizes h=π3,h=π6 To find : Use Richard Extrapolation to calculate the first…

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f'(x) = 6x + 2. (a) Find…

A: Differentiating with respect to x, we get

Q: Question 20 The volume of a cylinder with a radius of 5 inches is increasing at a rate of 36 T in3 /…

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Q: 3. Boule's Law states that when a sample of gas is compresses at a constant temperature, the…

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Q: Question 6 Suppose that a particle moves along a straight line with velocity v(t): = 12 - 6t, where…

A: Solution :

Q: Question 12 VI² – 1 What is the derivative of y O y = 1 1 - 1 O y' %3| 22-1 O y' =

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

Q: QUESTION 5 Provide an appropriate response. Q = Q0 x 2Tdouble is the equation for O growth or decay…

A: We have to find correct option from given options.

Q: Question 2: dy a) Find for the following exponential function y = dx - 3e2x+1 -eV b) Using…

A: derivative

Q: (1–2x)3 1+x2 dy Question (4): Find by logarithmic differentiation for f (x) dx

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Q: Question 17 which it grows is given by the the equation The mass of a kitten when it is born is 0.2…

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