3z 10r 25 5 V5z for 5 Given f(x) %3D 10 for a = 5 Is the function f continuous at a 5? Give appropriate reason that justifies your answer.

Q: 75. f(x) = x - 3 2 4 6.

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Q: Determine the expression for Fyg(x, y, z) given the function F(x, y, z) = 2x?y - xz? + 3y?z

A: Given that the function F(x,y,z)= 2x^2y-xz^2+3y^2z.

Q: 2. If p and q are positive integers, f is a function defined for positive numbers and attains only…

A: Introduction :

Q: a. Suppose x e R. Show that f (x): = x/3 is not differentiable at x = 0. b. Differentiate and…

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Q: 5 Find f(x)dx if 3 if x 3

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Q: f (z) = e By using the second divided difference find f[1, 1.2, 1.4] for :

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Q: Given f(x) = 2x²-5x - 1 and g(x) = 2sin x, determine the values of x when f(g(x)) = 2 for 0 ≤ x ≤ 2.

A: The composite function is defined as a function made of the other functions, where the output of one…

Q: the domain of f' in interval notation Ans 7d D = f-1 e. the range off' in interval notation ans 7e…

A: f(x) = x-235inverse y = x-235interchange x and y x = y-235solve for y y = 25x2+23f-1(x) = 25x2+23

Q: A. Given f(x): 3x²+2x+1, Find f'(x)

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

Q: Find the value of (xNs)2 for the function: f(x) = xcosh(r) – 3x %3D bi (XNs); i aj NA bo (Xns/o ao…

A: The function is fx=xcoshx-3x. Check x=0 is obvious. Substitute x=1 in fx: f1=1cosh1-31=-1.46;…

Q: 4[8,(t-2) rect(r)dt

A: we have,  I=4∫020δ4t-2recttdt we know that  ∫t1t2xtδt-t0dt=xt0 ;   t1<t0<t20       ;…

Q: Create two functions h(x) and j(x) so that the composed function (hj)(x) does not exist. Explain…

A: The natural log function, ln(x) is for example only defined for x > 0. So now we just have to…

Q: Which number is the value of F'(-2)? Review the table of values for function f(x). O -8 f(x) O -7 -2…

A: Given:  To find: Which number is the value of f-1-2

Q: Let f(x) = -9x¹ find f'(2).

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Q: If f(x.y)=x+6/y-10 Then fy= 6Vy

A: Given : fx, y=x4+6y-10 Differentiate the above function w.r.t 'y' fy=ddyx4+6y-10fy=ddyx4+ddy6y-ddy10

Q: (3x"-1)(3) %3D 3 Y +1 e 3x"-1 s 3x"+xY =4 %3D -) m =4 30 that 3x +1 %3D 3x4+1

A: See the attachment

Q: Sr- 3, I0' Example 1.7.21. Given the function f(r) = find f(3).

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Q: 3. Consider the following table of values for two functions f and g: X 1 2 3 4 f(x) 2 4 1 3 f'(x)…

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Q: Find f, and f, for f(x, y) = 8(9x- 6y +5).

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Q: Q3/Find the value of x If f'(3) = 52? 1 2 4 f(x) -2 8 X

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Q: Let f(x) =x - 6. For what value of x does function f have the given value? f(w) = 5 2 3

A: Solution:

Q: tex- D. Dtey) B. महस 17+ = (M (x-75 pus (01

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Q: At what value of x does the function f(x)=x' -3r? -9x change from deceasing to increasing? 1 -1 Find…

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Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: uppose f(x) = 4nxe for all x E R. Show that f = -f. -e

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Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

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Q: Let f be a function from A to B, and X, Y C B. Show that ƒ¯¹(XnY) = ƒ¯¹(X) Ñ ƒ−¹(Y).

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Q: Which of the functions shown below is differentiable at x = -3? Select the correct answer below:

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Q: What is the range of the function y=f(x) =2sin 57 A [-3,7] B B [-7,-3] В © [-7,3] D D [3,7]

A: We have to find range of give function.

Q: dy as a function of x. dx Write the following function in the form y = f(u) and u = g(x). Then find…

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

Q: 4x +44 x-11 If the function defined by g(x) I + 11 is conti %D k T = -11 k is O-4 O11 O -11 O 4

A: Note: As per bartleby guidelines for more than one questions asked, only one question is to be…

Q: Consider the end behavior of f(x) = 75(1.25)* . Select True or False for each statement. A. Asx --0,…

A: f(x)=751.25x The graph of the given function is:

Q: •y =f(x) + -3 -2 -1 3 4 2. 3. 2.

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Q: Let f(z) = (2z + A)² , If f'(–1) = –4 then find A ? O a. A=-3 O b. A=3 O CA=1 O d. A=-1

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Q: Let f (x) be the function given below. f (x) = (2-bx2, x ≤2 3 + 2b -4bx, x > 2 Find all real numbers…

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