If f(x) + z = v7x³ + z, g(x)+ 2z = 3x and 5h(x) = 7x2 + z, then find the following: Show all steps Hint: z is the last digit from your college ID. a. f-(x) b. (hog)(x) in the simplest form.

Q: Q3) If f(x,y²) = x² + y² + vxy find : af (x²,y) and f(x²y) ax ду

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

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: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

A:

Q: -X - 2xe 73Xs =l =10. %3D Jordan elimination

A: Topic :- Matrix

Q: 10. If f (x) = 2x(1+In(2x)), and f'(c) = 6, find c.

A: Given function is fx=2x1+ln2x. Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: (c) Show that V(3) = o²(X'V-¹X)-¹.

A: 3. c From the given information, y=Xβ+ε Eε=0, Vε=σ2V From the part b, β^=X'V-1X-1X'V-1y

Q: If f(x, y) = 2x+6 (2a-6y) of then is given by:

A: In the above question we will take y as constant since we have to partially differentiate it with…

Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

Q: (b): Let f(x) V3x +9 and g(x) = 2x + 6 find fog(x) and gof(x).

A:

Q: Let h(x) z² –3z+2 -z² –4x+4' what is h' (-5)?

A:

Q: If S f(t)dt : 3x2 + 12x, what are the possible values of a? Verify that your values of a are…

A: The given integral relation is: ∫axf(t)dt=3x2+12x From the fundamental theorem of calculus,…

Q: Q 4. (a). Show that fog = 4x² - 1, if ƒ(x) = 4x – 5 and g(x) = x² + 1. (b). Show that gof = x + 4\x…

A: Given, f(x)=x+2,g(x)=x2+6 To show: gof=x+4x+10 Solution: f(x)=x+2,g(x)=x2+6 We know,…

Q: what is perpendiclar to AX+y-5=D0 and contains points (2,3)(-212)

A:

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: Find H. A.of g6)= 3x 5x+2x-7 ifany. Justtfy your answ 2x-3

A:

Q: Given f1x2 = ax + bcx + d find f -1 1x2. If c ≠ 0, under what conditions on a, b, c, and dis f = f…

A:

Q: 1. If find the value of a. L²Lke + (x + 2y)dydr = 10, a

A:

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

A: d2dx2e-3x2

Q: Find the derivative of the function?

A:

Q: Find The valu eo of a and b :for: Fcr): X-2 7 7X d! ax²-bx+3 if 2<x<3 2x -a +b if x3

A:

Q: 4. Let X € R"xm. Show that x™x >0.

A:

Q: use Newtown-rapshon method's to approximate the real solution of the following function:…

A: To use newton raphson method to approximate the solution of F(x)=(e-x)-x ,x0=0

Q: Eliminate the arbitrary constants from the following equations. x2 = axy + by

A:

Q: If X =V1-t and y= - 3t +t°, what is y' ? O 6(? – 1) /1- O -3 (t? - 1) /1-t %3D 0-6 (t-1)(t + 1) /1-t…

A: x=1-t and y=-3t+t3

Q: 5 Given yz - Y1 = m(x2 – x1). Soive for x2- %3D

A: Given y2-y1=m(x2-x1)

Q: 13. it BD AC DBE (2x-1. and mCBE (Sx-42) find the value of x

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

A:

Q: If g(x) = 3x2- 4x +5 ; G(x)=x3 – 2x2+ 5x , then G is the anitiderivative of f . A) True B) False

A: Let's find.

Q: Given that y= (2e - 6x +5) , show that y-

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 each f(c) using synthetic substitution. 12. Ax) =5x + 10x* + 3x + 8x² – 6x – 3; c = 3 (SHOW…

A: Concept - we have given a function F(x) , and asking about C=3 ,so substitute c in given…

Q: :Q3 Classify PDEs below и ди y2 и + и = ue 5x — - ду

A:

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

A:

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

A:

Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: Suppose that X is a (A = e-100, p = 3e-100)-BCP. %3D What is P(X(1)X (2)X(3) = 4)?

A: Correct answer is 4.

Q: If f(x) = 5x - 2, g (x) = – 2r + 3 and h (x)= x, then (fogoh)(-2)=.... %3D

A: The functions are f(x)=5x-2g(x)=-2x+3h(x)=x3 If f(x) and g(x) are two functions then the composition…

Q: Q2/ (A) Evaluate 4-x x3 2 dydx 4-9 Ans. 16 8 e

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 14I hox)= x)-0, whese fCn=2 and fとい=8,

A:

Q: Given the function C'(r) = (r − 1)( − 5r + 3)³(r − 2)5, - its roots are and their multiplicities are

A:

Q: 5y – 15 What are all the restrictions for v²- 6v +9 y2+ v – 12 ? A x* - 4, x # 5, x*3 B x#3 x* -4 x*…

A: What are the restrictions for 5v-15v2-6v+9÷5v2+v-12

Q: 32. If WY = 15x - 2 and XZ = 9x + 10, find WY. DELL

A: Here I am solving question 1 if you want the answer of second question repost the another question…

Q: If ƒ(x) = 3ªx + 3x and f'(0) = 3( by using 2-points fomula with h=0.5), then the value of a is

A: Topic- derivatives using 2 point formula

Q: B (m,n) = xm-1 (1-x)"-1dx %3D

A: Using the definition of Beta function  Bx, y=∫01tx-11-ty-1dt                  1

Q: If we use the secant method on fx) = x+x+3 with x2 and X-1 = 1, then X, is

A:

Q: If S. f(t)dt = 3x² + 12x, what are the possible values of a? Verify that your values of a are…

A:

Q: Shon in Question 1.a find your mista y= -2x + 1 y3 -2x +3 y 2. -

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.