х-4 ,x5 Given: f(x)= , find the value of k that will make f continuous on (-0,) kx2 – 24x + 46 , x>5 A B D -4 E none of the given choices

Q: B5(a): For the function f(x) = 4x³ – 96x2 + 336x + 4, determine (i) the point of local maxima and…

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Q: Sx² – 4, iƒ x > 1 -x – 1, if x < 1’ continuous at x = 1. If the function is discontinuous, state the…

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Q: X- 4 Given: f(x) = , find the value of k that will make f continuous on (-0,0) kx2 – 24x + 46 x>5 A…

A: For f(x) to be continuous, left hand and right hand limit at x=5 must be equal.

Q: Q.5 For function f(x) = x - 3x2 -9x + 4 1) Find the intervals of increase and decrease 2) Find the…

A: here degree of the polynomial is 3 which is odd and the leading coefficient is 1 which is positive…

Q: f(x) = (x² – 49)³ O The function is not continuous because tl O The function is not continuous…

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Q: d-x d-x Show that g(x) is decreasing, while is increasing || V62+(d-x)² c1 Va²+a? C2 nction of x.

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Q: x2 – 6x + 8 Let f(x) = -6- Find: 1) Domain (in interval notation) 2) Y-intercept(s) at the point(s)…

A: As per guidelines we have to solve three subparts

Q: For the function f(x)=x^2 e^−2x, find:    (a) the local and absolute extrema.    (b) the…

A: To find the local maximum and minimum.

Q: x³f(2)-24 If f(x) is differentiable at x = 2 and lim,-2 = 28, then f (2) = %3D x-2 Select one: О а.…

A: B correct

Q: 3. Find the intervals in which the function is concave up /concave down for the function f(x) = x* –…

A: Given : f(x) = x4 - 4x3

Q: B3(a): Find the critical points of the function f(r) = 8a? – 16z. B3(b): Apply Rolle's theorem for…

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Q: I-3 ,x 3 is continuous. Find the value of a.

A: Find left hand limit and right hand limit at x=3  then  for continuity equate both LHL=RHL

Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

A: Consider the given vector: xt=t3−12t2+21t−7Differentiate w.r.t "t",Find velocity:vt=x't…

Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

A: Position as a function of time is given. We have to find the velocity and acceleration. Recall the…

Q: For the function below, find  a) the critical numbers  b) the open intervals where the function is…

A: We will find the first derivative using the power rule

Q: Find the critical points, domain endpoints, and local extreme values for the function. - x? - 9x +…

A: Given :  y=-x2-9x+8,    x≤1-x2+7x-8,     x&gt;1 To find : The critical points, domain endpoints and…

Q: y = f'(x) 2 4 6 J (a) On what intervals is f increasing? (Enter your answer using interval…

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Q: 4. Y = x° +1 the x-axis and the limits x=0 and x=3.

A: To find the area under the curve, use the formula, A=∫abydx and substitute y with x3+1 and the upper…

Q: 2. Let r(x) = Vx –2. Show your solution as you answer the following. Is the function differentiable…

A: To find the differentiability of r(x) at x=6, use the derivative of the first principle,…

Q: B3(a): Find the critical points of the function f(x) = 4x² – 8x. B3(b): Apply Rolle's theorem for…

A: Given  f(x)=4x2-8x  Differentiate with respect to x  f'(x)=4(2x)-8(1)  f'(x)=8x-8 Put f'(x)=0 8x-8=0…

Q: (x² + 2, x 3 a. -7 b. 2 с. 3 d. 7 e. There is no value of k

A: The given function is                             f(x)=x2+2     x≤36x+k    x&gt;3 We have to find…

Q: In the space below indicate the absolute extrema on the interval [-3,2] for f(x) = (x− 1) ^2/3

A: givenf(x)=(x-1)23 then f'(x)=2(x-1)-133=23(x-1)13f'(x)=0then23(x-1)13=0so there is no critical point…

Q: B3(a): Find the critical points of the function f(x) = 4æ³ – 12x. B3(b): Apply Rolle's theorem for…

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Q: 2x-x+10 # 3 What is the limiting behavior of 5x+3x +x-1 as x tends to positive infinity? O (A) -10 O…

A: we have to find the value of limit. the solution is in second step.

Q: 15. Find (fog)(x) given f(x)= Jx-4 and 8(x)%3D g(x)= then find the domain of fog. 2

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Q: Solve for m s.t. the function is continuous (Do not use L'Hospital's Rule and Do not use shortcuts)…

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Q: 1. (Bx2 |x- 61-8 for x> 2 (a) For what value of Bis the function f(x) = }", for x 2 continuous atx=…

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Q: Solve for m s.t. the function is continuous (Do not use L'Hospital's Rule and Do not use shortcuts)…

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the function at x=-3

Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

A: Given data is : xt=t3-12t2+21t-5 (a) To find the velocity and acceleration.

Q: A Y = x° +1 the x-axis and the limits x=0 and x=3.

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Q: A5: Determine the value of the parameter a that will make the function {2x + 3, f(x) = {ax? – 1,…

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Q: x+6 At what points is the function y = continuous? %3D x- 9x + 18 Describe the set of x-values where…

A: We can find the required answer as below.

Q: B5(a): For the function f(x) = 3x³ – 18x?, determine - (i) Intervals where f is increasing and…

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Q: e2* (x – 3) is Determine the intervals over which the function y = e (a) increasing, (b) decreasing,…

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

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Q: For the function below, find a) the critical numbers b) the open intervals where the function is…

A: To find the critical points and intervals where the function is increasing and decreasing of below…

Q: 5æ? + 3x. Let f(x) = 4x + 3 and g(x): After simplifying, %3D %3D (f o g)(x) = Let f(x) = Then the…

A: 1st Part:  Given data is: f(x)=4x+3    and  g(x)=5x2+3x

Q: (kax if x<2 f(x)=11- kx if 2s x Consider the piecewise function: 6. Find values of the constants a…

A: The given function is,

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: The function f(#) = 4x' + 6z² – 672r + 3 | is decreasing on the interval ( It is increasing on the…

A: As we know that; To calculate the interval for the function fx increases, f'x&gt;0. And To calculate…

Q: f(x) = 2x3 - 3x2 - 36x +14 use f' (x), find decreasing interval %3D O (0,1) O (-2, 1) O (-2, 3) none…

A: Find the interval of decreasing

Q: ( cx2 + 3x if x < 2 Let f(x) - CX if x 2 2. For what value of the constant c is the function f…

A: cx2+3x       x&lt;2x3-cx      x≥2For a function to continious limx→2-f(x) = limx→2+f(x)when…

Q: 4. Find the intervals in which the function is concave up /concave down for the function f(x) = x* -…

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Q: 2 - x Determine all points at which f(x) = is differentiable. Justify your answer 2r2 - 8

A: The graph of f(x) is shown below :

Q: x³f(2)-24 If f(x) is differentiable at x 2 and lim2 28, then f (2) = x-2 Select one: O a. -1 O b. 3…

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Q: x-4 ,x5 A none of the given choices B -4 (D E) 6 3.

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Q: IB3(a): Find the critical points of the function f(x) = 5x2- 10x. B3 (b): Apply Rolle's theorem for…

A: a) f(x)=5x2-10b) f(x)=x2+2x

Q: 2. For the function f(x)=x^3/3 - x^2 - 24x +19 i) determine the turning point and the values of the…

A: The given function is  f(x)=x^3/3 - x^2 - 24x +19