20) x+ 3y <9 x+ 3ys-3

Q: Find critical number of f(x) = 5x^2-8x+1

A: Given,          fx=5x2-8x+1

Q: Let {(=) = In ="(z +2)*(z² + 9)] f'(x) =

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Q: 3 If f(x) = 2 + x, evaluate Σƒ (k+1). atas (k k=1

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Q: 1. Differentiate. Show your work to get credit. a) g(x) = x* In(2.x² +7) by using the product rule.

A: SInce multiple subparts are asked, I am ansering only first 3

Q: 9. For |x|<1, prove that 8x 16x 24x 1-x1+x 1-x 2 8x 8x = 1+ (1 – x)? (1+x2 (1-x)? ...

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Q: 4 ,5 Let f(x) = 7x* In(x) f'(x)

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Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: 4cosx + 2sinx at x = 2

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Q: 3. Evaluate th 2x2- x + x3 + 4x

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Q: find the anti- deriva tive of the fun cticn: fcx) = 4 cSca cotx - Secx cot x

A: Derivative of function

Q: Question #6

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Q: 1 If f(x,y,z)= of then x-y-3-

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Q: 0.2 Differentiate In x+1, with respect to x. x²-x+1

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Q: Find Doma'n raye -3 x2-s x x 7-5

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Q: Find critical number of f(x) = x^2 - 6x + 8

A: To find critical number of f(x) = x^2 - 6x + 8

Q: 1 Expand f(2) = -in the domain 4 < |2 < 12 (z-4)(z–12)

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Q: Compute x -1 where x =i +1 2.

A: topic- complex numbers

Q: Find critical number of f(x)=x^3-6x^2

A: Given: f(x)=x3-6x2

Q: 4cos20 + 2/3 = 0 on the interval[0, 3t]

A:

Q: 21) Differentiate implicitly x² = x²y+2y²

A: Given: x2=x2y+2y2

Q: 5. Show that Ax) = Inx² - 1- In/3, if f'(x)= and (2) = 0. x- 1 Justify your answer.

A: To show that f(x)=ln|x²-1|-ln√3

Q: 13B 1 x z+7;0<x< 1 x 21 Fx (x) = 0; x< 0.

A: Part (i) The relation between Probability density function and cumulative distributive function is,…

Q: 3. Show that f(2) = (z+ 1)³ – 3z is nowhere analytic.

A: The given function is, fz=z+13-3z The function z is given by, z=x-iy Substitute values in above…

Q: 29- For uhat values of a and b is ax+2b x+3a-b くXS2 3X-5 Continuous at every X

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Compute f' (3). f (x) = –3.3x² + 3.9 O f' (3) = –19.8 %3D O f' (3) = –3.3 f' (3) = -15.9 O f' (3) =…

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Q: evaluate x2 -(xy-y) for x satisfying x/9 -7 = x/2 and satisfying -3y -5=4y+23

A: See the details solution in below

Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

Q: Compute f' (3). f (x) = -3.3x² + 3.9 %3D O f' (3) = –3.3 %3D O f' (3) = –6 %3D fl O f' (3) = –15.9…

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Q: . If ∫f(x)dx=(x+1)ln(|x|)+C∫f(x)dx=(x+1)ln(|x|)+C, what is f(x)f(x)? (To write absolute value, write…

A: Definition used -  By differentiating the integral of a given function we can find the original…

Q: 6. Prove from first principles (with ac- 6 argument ) that लेग ½ lim 7--1

A: 1x2+1-12=2-x2+12x2+1                               =2-x2+12x2+12+x2+1…

Q: Find critical number of f(x) = x^2-7x+8

A: Given function f(x) = x2-7x+8 The critical number is the value of x which makes derivative of f(x)…

Q: Find the sum of all the critical numbers of f(x) = 2x3 +3x2 – 36x +8 -

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Q: For any real number x, x 6| + x > 3.

A: Case I :  x≥6x-6≥0LHS=x-6+xx-6+x2x-62x-3≥26-3≥6&gt;3=RHS

Q: Find critical number of f(x) = 4x^2 + 8x -1

A: We have to find critical number of  f(x) = 4x2 + 8x - 1 To find critical number, differentiate f(x)…

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(1) = 0

A: We have, f'x=2x Integrating both of the side with respect to x, we get the result as…

Q: If 5х + 3,х <2 { h(x) = 2x2 + 5,2 < x < 4 Is h(x) continuous at (x=2)?

A: We use definition of contunity

Q: Find any restrictions on x. ITS 1/2x - 5= 10

A: The given function is 12x-5=10 Solve 12x-5=10 as follows: 12x-5+5=10+512x=15x=30

Q: 1 Find "(x) if Ax) -. %3D X+1. 1 (x+1) (x+ 1) -2 (x+ 1)3 12

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Q: 29 - For uhat values of a and b is ax+2b x+3a- b くXS2 3X-5 Continuous at every X ?

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Q: What is/are X-value(s) in elx2-3x+2)= 1? www 1 O (2,1) O none of these

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Q: Use intermediate theorem to explain P [x] = x* – x' – 10 has a zero in [2, 3]

A: According to intermediate value theorem of a function f(x) is continuous on [a, b] and L is any…

Q: "8 does not divide x^2– 1 if x is even". prove it directly

A: We need to prove  8 does not divide x2 - 1 , if x is even. OR if x is even, the 8 does not divide x2…

Q: 28. Graph of f" 2+ -1 2 3 4 5 +x+ 5 -4 4- 5. test to determine the local 2.

A: Graph

Q: 3. Show that 5 x + 7 is a continuous fimction

A: Let, f(x) = 5x+7 be defined over R, the set of all real numbers. Choose an arbitrary point c in R.…