dx A D +C 3 B.

Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

A: The function given is  y=3x2-32

Q: " , [sin(Inx?)]²dx Which of the following is equivalent to sin(Inx 14) dx sin2( Inx 14) dx B © [sin°...

A: The given integral,       ∫sinlnx72dxx

Q: Question 7 The antiderivative of COS(3X) is 1/2 (use small letter no space) Blank 1 Add your answer

A: Given : Cos(3x)We will find the integration which is antiderivative of the Cos(3x).Below find the so...

Q: The Laplace Transform of a displacement is given as +4a s(s+1): with a-2. Calculate the limit displa...

A:

Q: x²-x+1 -dx. Evaluate:

A:

Q: Se 2x2+ 2х +1 dx. х+1 Evaluate:

A: We will solve the integration. 

Q: A ax? +C B a ax +C a?x +C 2 D.

A:

Q: Match the function on the left with its antiderivative on the right side Submitted Answers Prompts C...

A: Anti derivative: If ddxf(x)= g(x) Then: g(x) is the derivative of f(x) f(x) is the antiderivative of...

Q: sin³ydy 1+ cosy A 1+ cosy В 1- cosy siny D sin³y E) None

A:

Q: O-26429052 2n (41) +1+(+り

A: We will use log function to evaluate the values of n.

Q: The value of C in the equation: ~-= - 500(1+1) -2 , when V=700 and t=0 is dt (А) 250 в) 300 c) 200 D...

A:

Q: secytany In 4secy +9 -dy, the integrand is 4secy +9 A True B) False

A: Here ,          we have given an integration and it's              integrand also given. Now we have...

Q: IX. sin (2x)dx by using walli's formula. a is equal to ? 29. A.0 В.1 C.2 D.pi/2 The definite integra...

A: Let's find. 

Q: Question 11 dx 4+e (A) 4+e* (B) e ot D 4e*+1 E) None

A:

Q: having

A: We will find the half life. 

Q: x + sinx dx. Evaluate: 2x- cos/x (A + C 2 2x+ cos/x B + C 2 © x-2cos/x + C x +2cosx+ C E None of the...

A: Let √x=t then solve it. 

Q: 5e2*dx 9e4x – 6e 2× + 1 4х A 3e2 B 3e2x – 2 © 3e2* – 1 D 9e * – 6e2* + 1 E Е) None

A: We have to find indefinite integral and choose correct option

Q: Let * = 3.54, and y 3.31. Determine the value of C when you evaluate %3D 5+x xp-

A: Given ,y=∫x5+xdxSubstitute  u=5+xdifferentiatedu=dxy=∫u-5uduy=∫uu-5uduy=∫1-5uduy=∫1du-∫5uduy=u-5ln(u...

Q: Lessoh 12. In each graph, a parent function has undergone a transformation of the form f(kx). Determ...

A: we have to consider the points which both the red and green graphs are passing through. then we have...

Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: VI. Show that ydx = y dx it must be (a <h<b)if f(x) = 2x, a = 1, h 2 and b %3D = 4 20. f(x)dx is equ...

A:

Q: Question 14 Which of the following indefinite integrals will result to logarithmic expression? 2 A (...

A:

Q: 2w2+9w+1 -dw is the same as w +4 5 dw w+4 A 2w +1+ 2w – 1- 3 dw B w+4 2w +1– 3 dw w+4 67 dw w+4 (D) ...

A: We have to choose the correct answer from the given options according to the given information

Q: sin 2 tsin2tdt A sint 3 B sin 21 cost D sin21 E None

A:

Q: Which of the following indefinite integrals will result to logarithmic expression? O Stan(sinx)cosx ...

A: topic - integration

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E) N...

A:

Q: The antiderivative of Cos(3x) is

A:

Q: (a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exis...

A:

Q: d -n (-u) + C If u <0, then u (A) True B) False

A:

Q: F. Planes and Lines O Find an equatin The plane each of whose paints idistant to The agu w eq point ...

A: Here ,              We have given two points which are               equidistant from each points of...

Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g...

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)    ...

Q: where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y ...

A: here,  y=acc+12dydc=-ac2+11ac-12a(c+12)2  

Q: 7. x=

A:

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation b...

A: The given equation is yz=e3x+z.

Q: Let {an} be a sequence of non-negative numbers. Suppose that the sequence {a,} converges to 0. Show ...

A:

Q: equaton of a line contain iwig the poent (1,7, -3) and parallel to the yz-plar 2 Find an

A: We will find the equation of line. 

Q: Which of the following integration expression can't be transformed into integral of power 2dx A 4+3x...

A:

Q: 2-x+1 -dx .

A: Please refer attached file for solution below

Q: The population of a city is 145000. The city declines continuously by 3% per year. In how many years...

A:

Q: Evaluate: J(3x+ 1)°dx - Blank 1 (use small letter, no space) Blank 1 Add your answer

A:

Q: cosh In(x) y%3= VII. xp: If u is a function of x then what is u? u-f(x) A.In(x) du is equal to? A.2x...

A:

Q: 2x²+ 2x+1 x+1 Evaluate: e dx. 1 + C X +1 A) x² + x +1 x+1 n|x+ 1| + C B - + In|x+ 1| + C D x2 + In|x...

A: The given integral is; eln[(2x^2+2x+1)/(x+1)].

Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...

A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)

Q: '+ 1 dx 2x e (А A -e-2*) + C B +x +C 4 2 5x +x +C e3 (D) 3 +C e*

A:

Q: derivative of the fun x + 2 y = e y' = %3D

A: We are asked to find the derivatives of the function.

Q: Determine the solution of an initial value problem; 2e cos2x dx + (e'sin2x+3y sec?y2) dy=0 y =0 2e's...

A:

Q: e* then the integrand is the same as dx In 4+e¯ 4e* + 1 A) True B) False

A:

Q: Evaluate: Sv*+sin/x dx. A x+2cos/x+ C 2x+ cosx B + C 2

A: We have to solve the integral

Q: If (Mesin(2) dx = e°sin(2») + C, then the M is equal to

A: On solving this we will get

Q: In order to evaluate the integral expression / In( sin(x ))dv using simple substitution, dv =f(x) dx...

A: Integration