- 15 +10 has a horizontal tangent line. If there is Find all the value(s) of z at which f(z) 72. 15z + 10 has a horizontal tangent line. If there is more than one answer, give all of the z-values separated by commas, e.g. if f(z) has a horizontal tangent line atz 3 andz 5 enter 3,5. Provide your answer below:

Q: Determine the zeros (x-intercepts) of the following function. Why can Rolle’s Theorem by applied to…

A: 3x^2-15x-18 3x^2-18x+3x-18 3x(x-6)-3(x-6) (x-6)(3x-3)   Zeros = 1,6

Q: 5. Use the Intermediate Value Theorem (IVT) to show that the equation below has a root in the…

A: Given that, The function is, f(x) = 2x3 + x2 + x + 3 = 0 interval is = (-2, 0) We have to prove by…

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A: f(x) = x4 + x - 6 ƒ is continuous over the closed interval [a, b] if and only if it's continuous on…

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = -6x²-3x - 2 on the…

A: Solution-

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A: Point of inflection is a  point where 2nd derivative of a function is 0.

Q: A fX-Y where X,Y e Z* , and 0s<X <23 and, 0<Y<59, X is hour of clock and Y is minute of digital…

A: Yes. f is well defined because we can measure the every numerical value of the function and can…

Q: Consider the following equation. 3x4 - 8x3 + 5 = 0, [2, 3] (a) Explain how we know that the given…

A:

Q: If f(x) = 4x2 + 1 satisfies Rolle's Theorem on [a, 2], then a = 2 -1 -2 none

A:

Q: 5. Find all the zeroes of the function f(x) = - 0.5x + 2.5 x+ 4.5 using False Position Method…

A:

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 8e* on the interval…

A: Let the given function is  y(x)=8ex  on the interval [0, 9]

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 4e* on the interval [0,…

A:

Q: 5.16] Use the function f (x) = xe¯ ¯x² to find fave on [0,4] %3D

A:

Q: 7. If f(x) = mx²-x+2 and g(x) = 3x² +nx-4, and the points (-2, -14) and (1, -11) are on the combined…

A:

Q: Find the constant a, such that the function is continuous on the entire real line. f(x) = {2x2,…

A:

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A:

Q: Find all the value(s) of x at which f(x)=10x33+13x22+4x+16 has a horizontal tangent line. If there…

A: we will  find value of x at which at f'(x)=0

Q: Q#4, A function f : Z x Z -> Z is defined as f(m, n) = 3n - 4m. Is this function injective,…

A: A function f: ⥮ X ⥮ → ⥯ is defined by f(m,n)=3n-4mInjective:  f(0,0) = 0f(4,3) = 3(4)-4(3) =…

Q: Determine the value(s) of x such that  [ x  2  1 ] [ 2   0  -2] [ x ]                 [ 0   3  3 ]…

A:

Q: Show that when x increases from 1 to 1.25 and when it increases from 2.75 to 3, the value k of grows…

A:

Q: Given q(x)=x4 −4x2 +10, find the x-coordinates of all local minima using the second derivative test.…

A: The given function is q(x)=x4−4x2+10.

Q: [3 – x2, – 1< x < 2 20. If f(x) discuss its continuity and differentiability. %3D 2x – 4, 2 <x< 4

A:

Q: Find the absolute extrema of the function f(x) = x3 − 3x2 − 24x + 5 on [−3, 6], if they exist as…

A: We have to solve given problem:

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Q: Suppose h (x) = ax³ + 11x². Determine a if h has an inflection point at x = 4. Show all your work.…

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Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

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Q: - Find f (x) given f' (x) 6x2 - 4x + 3 and (2, 15) is on the curve of f (x) .

A: To find the function from derivative we need to integrate.Here we will integrate to find f

Q: Examine the following quadratic function. f(x) = x² +22x - 114 Which statement is true about the…

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Q: 2, C. Find the value for a and b such that f(x) = {ax + b, if-1 <x<3 is continuous for all (-2, if x…

A: Given that fx=2if x≥1ax+bif 1&lt;x&lt;3-2x≥3is continuous for all real numbers. The objective is to…

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A:

Q: - The equation f(x) = Inx-x +3 has a root in the interval (4,5). Obtain the roo correct to three…

A: Given function is, fx=ln x-x+3 in the interval (4,5) First iteration: Here f4=0.3863&gt;0 and…

Q: Consider the followino. x + 7 7-x-56 Find the x-value (f any) at which ris not oontinuous. Is the…

A: Given function,  f(x) = x+7x2-x-56  To find the points of discontinuity and removable or non…

Q: ow that the equation 3sin (2x) =7x+5 has exactly one real root.

A: Given:3sin2x=7x+5

Q: Given q(x) = x – 4x2 + 10, find the x-coordinates of all local minima using the second derivative…

A: Given that,  qx=x4-4x2+10q'x=dqxdx         =ddxx4-4x2+10         =4x3-8xq'x=4x3-8x=4xx2-2=4xx-2x+2

Q: on is discontinuous on the specified interval. Vx2 - 64 if IS -8 if-8<x<8 88] 0 ifx28 f(x) = {x+8

A: If a function is continuous then the left hand limit, right hand limit and value of function at that…

Q: GRuen that the divectional deivative of f(x,4,2) out the point (3,-2,1) in the divection of a=…

A: Given a→=2i^−j^−2k^ and directional derivative of fx,y,z at the point 3,-2,1 in the direction…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A:

Q: 4) Consider the function fex)= Slx-s] Evaluate 7-4 for any There is no solution to the equati on…

A: Given: fx=5x-5 so, f7-f47-4=57-5-54-57-4=52-13=513=53

Q: Find the critical numbers of the function f(1) = 2x-24r. %3D Answer (separate by commas): I =…

A:

Q: (i) Show that f(x) = 6x³ – 2x2 + 4x – 3 has exactly one real root. (j) Show that f (r) = x + 2x5 +…

A: Given: i. fx=6x3-2x2+4x-3ii. fx=x7+2x5+3x3+14x+1 To Show: Given equation has exactly one real roots.…

Q: (1) Find and classify the extreme values of f(x) =6x* -4x over the interval [-2,2].

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: fx) = x^3 − 6x^2 − 15x + 23.

A:

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A:

Q: The function of f(x) = Vx - 8 +1 undergoes a reflection about the line y =0, a %3D stretch by a…

A: given function fx=x-8 + 1

Q: Find all critical points of the function f(x) = 12x + |11x + 1|. (Use symbolic notation and…

A:

Q: Find the critical numbers of the function f(1) = 2x – 3x² = 36z. Answer (separate by commas).…

A:

Q: Let f : R → R by given by { 6.x+10 хе (-о, —18] f(x) = 4.x16+6 -8 хе (-18, о0) What is f(-15)?

A: given that f(x)=6x+104x16+6x∈(-∞,-18]-8x∈(-18,∞)

Q: I have no idea how to approach this question.  Any insight would be greatly appreciated.

A:

Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.