find ()* (e) (f) 16-14

Q: -6 f(3) – 6 - g(-1) =| 8. サー9(z) -8 -6 -4 2 -4- サー) %23

A:

Q: What's the counterexample of |x+3|=|x|+3

A: Consider a equation: x+3=x+3……1   Now, counter example means to find a value of x for which above…

Q: Show that r: y = 3. 2n

A: Using two sectant theorem,  ∠n=12x-y  Multiply both sides by 2. ⇒2n=x-y .....(1) Using intersecting…

Q: Evaluate f''(c) at the point. f(x) = (x2 - 4)(x3- 2), c = 1

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Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

A:

Q: x2y/5z x3 y4/10z3x4y5/15z4

A:

Q: Jg+X -J9-X

A: We are given 0/0 form so we find limit by rationalize the given function

Q: d x3 in terms of t.) X1 + 0.5x2 + 0.33x3 + 0.25x4 0.5x1 + 0.33x2 + 0.25x3 + 0.21x4 = -1.7 0.33x1 +…

A: I have used MAPLE Software .

Q: Show that $) it gly) 1-y 2

A: Recall: The domain of a function is the set of all possible inputs from the function.

Q: Determine whether the statement is true or false. fxy дх ду True O False

A: We have to determine given condition it is true or false

Q: Use Cramer's rule to solve: X1 - X2 = a1 x1 + bx2 = a2 -2 x1-X3 = a3.

A:

Q: 2Tan2(120°)+3sin2(150°)-cos2(180°)

A:

Q: in terms of g EXERCISE 4. f(z) = g(2²) EXERCISE 5. f (x) = e9(x)

A: To find f' in germs of g'

Q: then x-

A:

Q: Calculate, f(t) from 5s² + 30 F(s) (s – 2)²(s² – 6s + 13) - |

A:

Q: 2y = xx -1-In(x+vx² -1)+c

A: Given the family of curves is 2y=xx2-1-lnx+x2-1+c. Find the orthogonal path of the above curve.

Q: Find the second order derivation for y = e-3x².

A: d2dx2e-3x2

Q: Describe the long run behavíor of f(r) = r° – 3r° – 2rª + 5 %3D - -

A: The long-run behaviour of a function is the behaviour of the function at its endpoints of the…

Q: Let a > 9 be a constant. Evaluate 3z2 + 30x + 30 + 4a dz (3x + a)(x² + 6x + 10)

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Q: f(x) : 4 6 5

A:

Q: from the first principle defferentiate h() = 5x³²x+7 2² +2+1

A:

Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: 4. Differentiate using first principles. f (x) = -3x² + 4x + 6

A:

Q: Evaluate intergral  (ax)/(x2-bx) where a and b are constants

A: The given integral is ∫axx2-bxdx.

Q: fo)-글x3-글 x2-6x +4 has

A:

Q: Chenge to Poloy -V3 +2Ź

A: Here we use complex number property to find polar form.

Q: az Use chain rule to find x2 with x = 3rt and y = r Z =

A:

Q: . What is F(/3) if C = 0?

A:

Q: -2 t t² + 5

A:

Q: 1. Use the chain-rule and find x and ÿ in terms of x, i, and ä if: а) у3 4x? b) y= 10x3

A: To find y" in terms of x, x', x".

Q: . Find the mtenal of comergence of forg- t 1.3 13ナ-

A:

Q: (b) Show that xE R, x2 - 4x + 5 > 0.

A: As this is a multiple question type, only first question is to be solved, according to the Bartleby…

Q: Z1 and 22 are supplementary. Z1 = 124° 22 = (2x + 4)* What is the value of x?

A:

Q: I. Find the value of X3 Using cramer's rule. Show your work *」+ 3xzt =ス Xit2X2=3

A: The objective is to find the value of x3

Q: What is the antiderivative of f'(r) = - 4x + 3

A:

Q: 30 y = f(x)| 10 -4 -20

A:

Q: Let f(x) = 8z10 - 52°. %3D (a) Use the definition of a

A: Given

Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

A:

Q: 2P 2+ y= since) see' (=?)

A: y=sin(z)sec-1(1+zz2)

Q: Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

A:

Q: find f'(z) when z – 1 2z +1 (7 # -1/2); (c) ƒ (z) =

A:

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

A:

Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

A:

Q: f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10||   From function,   The derivative of function f(x) for x≥10…

Q: By applying product rule to find y' 3 (1+x*) x4 - x*

A:

Q: Determine {F}. F(s) = 7s² - 13s +2 s(S-1)(s-6)

A: Let 7s2-13s+2s(s-1)(s-6)=As+Bs-1+cs-6       ⇒7s2-13s+2=A(s2-7s+6)+B(s2-6s)+C(s2-s)       ⇒A+B+C=7…

Q: Find the value of f (-4). Press F1 y = f(x) 10 -10 -8 -6 -4 -2 4 6. 10 -2 -4 -8 -10 6. 6.

A: Given, The graph of y = fx  We have to find the value of f-4.