Which value of t is NOT in the domain of the function P(t)= 21/10t−17? t = ?

Q: Let f (x) = x3 – 3x2 – 1, x 2 2. Find the value of df-1 at the point x = -1 = f (3). dx -

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Q: Find the formula 1 [ f(x) dx = w₁f (0) + w₁f (1) that is exact for all functions of the form f(x) =…

A: Solution :-

Q: I find (f ∘ g)(x) by replacing each occurrence of x in the equation for_____ with______.

A: Consider the function (f∙g)(x) which means the composition of f of g. It can be written as f(g(x)).…

Q: Calculate M6 for f(x) = v7x over [3,6]. (Use decimal notation. Give your answer to two decimal…

A: The function is fx=7x over 3, 6. The number of sub-intervals is n = 6. Obtain the step-size as…

Q: For the function f(x) = 21² + 1, it is given that 3 f(x) dx = 21. At what value C does the function…

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Q: Estimate the IROC for the function f(t) =Ax) = x² – 20x

A: Given: fx=x2-20x To find the instant rate of change, Differentiate the given function with respect…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

Q: If f(t) = 103t-5 x e2t, determine the value(s) of t so that f'(t) = 0.

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Q: 3. Determine the coordinates of the hole(s) in the function below. x² + 10x + 21 f (x) = х2 — х — 12

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Q: Find the family of antiderivatives for the function, f(x) = 8 12x. Which of these pass through the…

A: To find the family of antiderivatives for f(x) integrate f(x) with respect to x.

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: Consider the function f(t) = 18√√t over the interval -8 < t ≤ 8.

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Q: d f'(a) for the function f(x) = 3x-2. swer: f'(a) =

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Q: 3x2 Given that F(x) = In t dt, what is F'(x)? 3x 4 + t2 ||

A: Given, Fx = ∫3x3x2lnt4+t2dt  We have to find F'x.

Q: Given f(x,y) = x²y-3xy³. Evaluate 2 S₁² 0 fdx

A: Follow the procedure given below.

Q: Q2/ Find ft) for cach of the following functions 768 a- F(s) = %3D (s2 +8s+15)2

A: Since you have asked more than one question, we will solve first one for you. If you want other…

Q: Find the value of b such that f(x) = Vx + 1+2 has inflection point at x = 3.

A: Solve the value of b

Q: -16t +30t + 4 models the height of a ball t seconds of change of the function over the interval 0,2…

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Q: Describe the long run behavior of f(t) = 4 1 As t → 0, f(t) → As t → 0, f(t) → ? v

A: We xan solve as follows

Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

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Q: The antiderivative of the function f(x) 5 + 10x is

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Q: Find for the following function. dx2 y=e -6x2 %3D dx2

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Q: (a) If e19z f (2) = z10 + 49 at how many points the function f (z)is discontinuous ?

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

Q: If f is an even function, why is S", f(x) dx = 2 f“ f(x) dx?

A: A function is said to be even if f-x=fx   We have to prove  ∫-aafx dx=2∫0afx dx   Consider left hand…

Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

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Q: F(X)=x" 2ny dorsn't this haveoninfiection. paint 20here f"(x)=0?

A: By taking derivatives, f(x) = x4   ----&gt; f '(x) = 4x3

Q: For function f(x,y) to have no extremum value at (a,b) is? 1) rt - s>0 2) rt – s?<0 3) rt - s? = 0…

A: To select: The condition for the function f(x, y) to have no extreme value at (a, b).

Q: What is the closest value to the instantaneous function at x = 2? f(x), 2x-1 3x+1 O_1 49 O. 49 1 49

A: A function f is said to be continuous in the open interval (m, n), if it is continuous at each point…

Q: - Find F-T: for the functions -at e t70 1at tco e

A: We have to use integral formula.

Q: Consider the function f(x) = 1/10 x^5 − 3x^3 − 7x + 9. a) On which interval(s) is f concave up? b)…

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Q: If f is an odd function, why is S, f(x) dx = 0?

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Q: Describe the long run behavior of f(t) = - (t + 3)°(t + 1)(t + 2) As t → - 0, f(t) –→ ? As t → 0,…

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Q: Calculate L6 for f(x) = v7x + 2 over [1,3]. (Give your answer to three decimal places.) L6 =

A: I am going to solve the given problem by suing some simple calculus to get the required result.

Q: Describe the long run behavior of f(t) = – 2(5)' – 3 | As t → - 0, f(t) → ? v As t → 0, f(t) → ? v

A: The function of the form f(x)=ax, where a&gt;0 is said to an exponential function. The exponential…

Q: Determine h(t) given that h'(t) = t4 – t3 + t² + t – 1

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Q: Find the value of the constant C for which the p.d.f is legitimate

A: To pdf be a legitimate we, the integral of f(x,y) over the whole range of x and y is one.

Q: Describe the long run behavior of f(t) = - 2(t + 4) (t – 1)(t + 3) As t - 0o, f(t) 2 v As t oo, f(t)

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Q: 5. Find the antiderivative of the function and check your answer by differentiating. f(x) = 9x +…

A: 5. We need to evaluate the antiderivative of the following function fx = 9x+15x-2

Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: of the functions f(t) = e² implified.

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Q: Q1: If f(s, t) = s2t + In(t2- s) find the value of (f sst) a-

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Q: Describe the long run behavior of f(1) = x2 As a - ? v 00, f(z) → As a 0o, f(æ) v? -> Check Answer

A: Given function is: f(x)=x2 To evaluate the limit of function at x→-∞ and x→∞. Draw the graph of…

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given g(t)=lnt(t2+1)42t-15

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: I find (g ∘ f)(x) by replacing each occurrence of x in the equation for_______ with_________

A: The meaning  of "g" of "f" (g ∘ f)(x) means gfx That is replace each occurrence of "x" in the…

Q: Q2\Find T.E of the function f (x) = e2x when a =2?

A: Given that  f(x)=e^(2x) To find teh T.E

Q: -at f(t) = 5e"t – 5e

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.