Solve for the value(s) of constant c that will make h(x) continuous at x = -1. √(x+ c)² if x < -1 C+X if x 2-1 h(x)=

Q: Find intervals where g(x) = 3x − x3 is increasing

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Q: Given the function below f(x) = 3 x³ – ²x² − 18 x + 3 a) Differentiate the functionƒ(x) = 3 x³ − 2…

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Q: Let f(x) = 2x√x + f'(x) = x³√x

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Q: Find f'(x). f(x) = 3x In x

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Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: f(x) = '(x) = - 15 √√x

A: Given query is to find indicated derivative.

Q: Consider the interval [-2, -1].  According to the Intermediate Value Thereom, which of the following…

A: Intermediate Value Theorem:- If a function f(x) is continuous on the interval (a,b) and have value…

Q: If ƒ(x) = 3x√x + ƒ'(9) = x²√x then ←

A: f(x)=3xx+2x2xwe know  ax×ay=ax+yd dx(xn)nxn-1

Q: After two iterations using the Method of Successive Substitutions, what is the root of f(x)= 3x +x'…

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Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

Q: b. If x = t- 3, find L[(xe

A: Consider the given information. Lxe-x Put the value in the function. Lxe-x=Lt-3e-t+3=Lte-te3-3e-te3

Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

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Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

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Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

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Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: Find the differential of y = e ³²cos3z (A) dy=3e-32 cos3z B) dy=-3e-32 (sin3z + cos3z) dy = -e-³²…

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Q: Evaluate the step function defined by f(x) = [[x]] for the given value of x. s(-3,4) = I

A: The floor function is the function that takes as input  real number x,and gives as output the…

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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Q: Letf(x) =(6x if 0≤ x ≤2,(−4 if 2 &lt; x ≤6.Find ∫^6v0 f(x) dx.

A: Given information:Here, it is given that f(x) will be equal to 6x if x lies between 0 to 2 and f(x)…

Q: solve for x if CDy=4(x-E)

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Q: If f(x)=√√√x² - 4x + 19, then what is f'(1) ?

A: Given query is to find the indicated derivative.