dx Evaluate: x/9x2 + 4 None of the above V9x2 + 4 + 2 In 4 f (x) = +C © f(x) = -2ln V9x2 +4 + 2 + C 3x D f(x) = -4In V9x2 +4+ 2 + C 3x O f (x) = V9x2 + 4 + 2 + C 3x

Q: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: Consider z=e (*3+y2) Evaluate dx2 O (6r2+ 3x)e (*3+y2) (9x4+6x)e (x³+y²) (6x4+ 9x) e (x³+y²)

A: Topic = Derivative

Q: x- 2 For the function f(x) = x-5 a. the graph of the function is until x = 2 only. O b. the graph of…

A:

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = 0

A:

Q: –6x-'dx

A: Follow the procedure given below.

Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: (3-y Q1) Evaluate the integral dx dy using polar coordinate

A:

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Q3) Evaluate triple integral , dz dy dx.

A:

Q: y ton(メツ) ン Q3 Find tanx 2 y-(1+x

A:

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – y from above inside y = x? ,y = 4 .…

A: Given

Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

A:

Q: Note Answer One Question Q1 The following data is provided for the velocity of an object as a…

A: Let's find.

Q: Consider Evaluate 3x)

A:

Q: Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 6 cos(t)i + 6 sin(t)j+…

A:

Q: dy Find the general solution of 2x² = a? + y? dx %3D

A:

Q: The limit below represents the derivative of some function f(x) at some number a. 3(3 + h) - 243 lim…

A:

Q: 2.Find the indicated limit or state that is does not exist x* – y* C. lim (x,y)→(0,0) x² +y ху d.…

A: Solving

Q: Evaluate the definite integral. e12. i+ k 12 e12 i-elj+; k 12 e12 -1 12 e12. k 12

A:

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: Given that the tetrahedron enclosed by the coordinate planes and the plane 7x+y+z=4.

Q: Question 9 In Sx²/25+ x²dx , we let x= 5sine. (A) True (B) False

A: If x=5sinθdifferentiating On both sides.dx=5cosθ∫x225+x2dx=∫(5sinθ)225+(5sinθ)25cosθ…

Q: Q3) Evaluate triple integral y(x2-y?)dz dx dy.

A:

Q: 4. Find the area of the region that lies under the graph of f over the given interval. a. f(x) = 2 -…

A:

Q: The volume enclosed by the cylinders z= 5-x,z= 4x and the planes y = 0, x+ y =1. Solution

A: First we will draw the region and find limits for x, y and z

Q: Find the value of c where lim(x) does not exist for the graph of the function shown below a. none of…

A:

Q: dx = x +C 3. 45x dx = -5x +C 4. 12V dx =-x+2x' +C 4x + 35x 4. 4 +8x dx = -5xi +C 4 28x 15x dx = 4x+-…

A: The integration of the integral  35x3/4/4 +8x-3.

Q: Using trigonometric substitution, given (Vx+64 dx, the simplified form of the integral is: sec³ed®…

A: We have to check whether the given statement is true or false.

Q: Q5/ Use Linear Regression to fit the following data: 1 4 5 6. Y 4 9 10 10 9 8 3

A: From given data

Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

A:

Q: DO NOT include spaces in between characters. And, DO NOT include dy/dx in your answer. dy given x =…

A: Given - x=sin(x+y) Now we differentiate with respect to x  d/dx (x)=d/dx (sin(x+y))…

Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 y : dx x2 + x – 2

A:

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

A:

Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of does the curve has a…

A:

Q: 3. Given the functions f (x) = a? - 4, g (x) = Va+ 4, and h (a) = %3D %3D | x + 2 find the DOMAIN of…

A: Domain is the set of all values  for which the function is defined.

Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

A: Here we have to use the trigonometric subsitution method.

Q: sec'x tan?x dx, can be evaluated by using trigonometric transformation. A) True B) False

A: Let's find.

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 2 y = - x dx

A:

Q: Q3) Evaluate triple integral f , (x2 -y²)dz dx dy.

A:

Q: 2 3) -2

A:

Q: applying substitution méthöd: sqns -48

A:

Q: EValuate J s 2'as O a. 2*(sln2 – 1) (In2)2 O b.2(sln2 - 1) (In2)2 O C. 25 sp.7s (1 – Zu). + 1) In2 O…

A:

Q: Write Tif the statement is true, or F if it is false. Write your answers on the blanks. dx x +C 3 2.…

A: 1.∫5x233dx=∫53x23dx=53x5353+c=x53+c1. T2.∫-45x544dx=-45x944×49+c=-5x94+c2. T

Q: Let a = 2i – 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8…

A: Here we have to find the dot product.

Q: Let y=f(x).Which of the following correctly defines dx [fk+Ax)-fw] a. lim Ax+xL Ax Ob. lim Ax+x…

A:

Q: Q2: Find the integration by applying substitution method: 7 dX (X – 1)VX2 – 2x - 48

A: Given,             ∫7x-1x2-2x-48dx

Q: Q5/ Use Linear Regression to fit the following data: 1 3 4 Y 4 9 10 10 8. 00

A: Follow the procedure given below.

Q: 6.x'y 10. lim (х, у) — (0, о) 2.х* + y*

A:

Q: Select as many answers as possible. * Find the absolute extrema of the function 2/3 f(x)=(x+1)* in…

A: f(x)=(x+1)(2/3)    ,    [-2,1] f'(x)=2/3(x+1)(-1/3) At critical points f'(x)=0 2/3(x+1)(-1/3) =0…