(x– 3) - ? = ? 5. For x2 # 9, x' -9

Q: ind the derivative. FA h Cx) = 2. (5x*+4

A: To find  The derivative of h(x)

Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: 16) Using algebraic substitution, which of the following will effectively evaluate dx R.:-%

A: We use substitution method

Q: 38. If x > 0, then 4(Insinh2r) : dr A coth2r B C 2tanh2r D tanh2r A B 2 coth2r D

A: Given : ddxlnsinh2x

Q: ive non-zero of power s-

A:

Q: a) S xe3*dx = ? to %3D b) s dx ? (x-1)3 8-

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: If z = x² – xy + 7y2 and (x, y) changes from (1, –1) to (1.04, –1.05), compare the values of Az and…

A:

Q: If z = x2 - xy + 2y² and (x, y) changes from (3, –1) to (2.97, –1.05), compare the values of Az and…

A: Recall the definitions of dz and delta of z. We will need the basics of differential calculus and…

Q: Match the expression in Column K (numbered) with its exact value in Column L (lettered).

A:

Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the…

Q: d*y 4. Find dx 1 if y=x' + 5 +13 2x? 3x 5

A:

Q: xf (x² )dx if f(x)dx = 7. Find Enter the exact answer. f (x² )dx =

A:

Q: O g(x) = (3t+ 2) dl t %3D

A:

Q: 44 dy 2 y² + Ce リ4x+3x-2x?+4-x'dx

A:

Q: dy Q. 8 Find 2 -: if Y dx 6x4+1 -48x3 (6x4+1)² .4 -48x (6x4+1)? -84x3 (6x4+1)? None

A: Given that  y=26x4+1

Q: dy -1,-if x²+y?=9 then dx 1- 2- y 3-х-у 4- (x+y)/3 2-

A: The equation is given by x2+y2 = 9                                        .........1 To evaluate:…

Q: d² y If ax? dx? 3. Find + 2 hxy + by = 1, h? - ab Ans. (hx + by)

A: So in this we have to differentiate twice. I'm providing hand written solution.

Q: Soec "x dx X,

A: If we have integral  ∫f(x).g(x) = f(x)∫g(x)dx  - ∫f'(x)∫g(x) dx where ,f(x) is first function and…

Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

A:

Q: Srind dy /dx for X-(0)(cas20+ Osino andy

A:

Q: If z = x2 - xy + 9y2 and (x, y) changes from (2, –1) to (2.04, –1.05), compare the values of Az and…

A: For a function , is the change in value of function when changing the variable from to . It is…

Q: If z = 3x2 + y² and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz.…

A: Given, (x,y) changes from (1,3) to (1.05, 2.9) f(x,y) = z = 3x² +y²

Q: If z = x2 - xy + 3y2 and (x, y) changes from (3, -1) to (2.96, -1.05), compare the values of Az and…

A:

Q: Suppose that (x) dx=3 and g(x) dx=7, then what is 1 8. 8 the value of (х) dx ? 1

A:

Q: If z = x - xy + 9y2 and (x, y) changes from (2, –1) to (1.97, –1.05), compare the values of Az and…

A: To compare: The values of ∆z and dz. Given information: The equation is z=x2-xy+9y2 and x,y changes…

Q: If $S² A 2x²+x-2 (x+1)(x²+1) (В NIG NI- S None -dx= B(2x) +C1 14.0+. dx, then the value of B is…

A: We can answer the question for the value B as below.

Q: f(x) = (x + 2)3 – 3x + 5 with error e = 0.1 by using False Position Method. Write your answer in 4…

A:

Q: 2. Given that x2 + x-5 and y = when x = 2, find the value of y when x = %3D dx

A: Given: dydx=x2+x-5 and y=53 when x=2. Now, given equation dydx=x2+x-5 can be written as:…

Q: S(x-ae )Vx² + 2e" dx -ах - ах 11.

A: Let's find.

Q: You are given that so(x)=e -0,001z for x > 0 . Calculate 5|15q65

A: Solution: Given S0(x)=e-0.001x2             for x ≥0

Q: 10. (2ху*eУ + 2хуз + у) dх + (x?y*eУ — х?у?— 3х) dy — 0; when x - -1, у — 1

A:

Q: 3 Evaluate: ³₂²₁²[z³(x + y)³] dz dy dx

A: When a triple integral is performed, then the innermost variable is integrated first, then the…

Q: x2+3 2. S x (x²+2x+1) dx

A: We will solve the problem.

Q: What are all values ofk for which x'dx = 0?

A:

Q: xe-Ex · (5) 00 e-Ex Σ = prove eq(5). 1,

A: Find the attachment

Q: If z = x² – xy + 2y² and (x, y) changes from (3, –1) to (3.03, –1.05), compare the values of Az and…

A: given: z=x2-xy+2y2 and (x,y) changes from (3,-1) to (3.03,-1.05). we have to compare the values of…

Q: If z = x2 - xy + 2y2 and (x, y) changes from (2, -1) to (2.03, -0.95), compare the values of Az and…

A: The function z = x2 – xy + 2y2 and (x, y) changes from (2, -1) to (2.03, -0.95), we have to compare…

Q: D{tanh n}n=1 00

A:

Q: 12. fe"dk = А. 1-е! В. -1-е! C. e+e D. -1+e 13. felnx dx = A +k В. +k C. e +k D. 2ehr +k Inx 513

A:

Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: cos²(xy) =-, evaluate y when x = 1. 4 For 3 6. 3 O O O

A:

Q: ines: 8. 3 x 4; D = {Integers} %3D -

A:

Q: ye'xdx (4 + e?x)dy

A:

Q: 38. If x > 0, then 4(Insinh 2r) = dr A coth2r B 2coth2r 2tanh2r D tanh2r

A: We will differentiate using the chain rule of differentiation

Q: 2r+3, x<I f (x) dx if ƒ (x) = 5, Evaluate

A:

Q: dy Find dæ |(7,9)=(-1,-1) if e sin (x? – xy) = y² – 1.

A: Given,          xsinx2-xy=y2-1

Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.