25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

Q: Example Evaluate +f -P) dpdgdr (p2 + q² – r²) dp dq dr + pq² – pr2 dq dr 3 1 + q? ² – r? } dqdr 3 -…

A: Let's find.

Q: Eind the limits lim hth G h Sinshe-Go

A: We have to find the limit according to the given information

Q: Q5/ Use Linear Regression to fit the following data: 1 2 3 4 Y 4 9 10 10 9 3 n 00

A:

Q: Je* cos (7e*) cos (4e*)dx Evaluate: @ --co (3e*) -cos (11e') + C (3e*) – -cos (11e*) +c A 6. 22 ®…

A:

Q: Find dy dx I-Ln(x+3)=tかが(x:)

A:

Q: Sx³e** dx

A: To evaluate: ∫x3e4x dx

Q: 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4 Z=15 O X-1 Y=1 Z=1 O X=1 Y=2 Z=1 O X=4 Y=2 Z=-7…

A:

Q: Evaluate (s 2 ds Oa.2 sln2-1) (In2)2

A: ∫ s· 2sds=2ssln2-∫2sln2ds=2ssln2-2sln22Add a constant to the solution=2ssln2-2sln22+C

Q: Q14. The value of lim et3 -x tan x-cos x x2 is? -

A: use l hospital rule for solving for the integral.

Q: Example -3 .2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 SLE + 2xy – xz dy dz - 2…

A:

Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). e2x none of the choices et

A:

Q: Find the value of dt Oa 40 Ob.53 Oc 23 Od.13

A: ∫0∞e-3tdt∫e-3tdtSubstitute u=-3t→dudt=-3→dt=-13du=-13∫euduWe know that ∫axdx=axln(a)=eu

Q: Сорy of The global minimum of f(x) = x - 4x over the interval -2<x<3 occurs at what value of x? O a.…

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: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

Q: Given the function: f(x,y) = 4x*y² – 10p +y , find f a. 16x'y-60xy O b. 48x°y O C. 16xy – 10y O d.…

A:

Q: d) (i) Use the alternating series test to show that the series converges. k+1 k +3 Σ-) k(k+1) k=1

A: To show that the given series converges using alternating test.

Q: 20х* 5. (25-16х"°

A:

Q: 5.Find all the first partial derivatives of each function f (x,y) =(2x– y)* а. 3/2 S(x, y)= (4x–…

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: п 2. y = 1- x dx

A:

Q: |x= 8| f (x) = Evaluate the left-hand limit of as X8. 16- 2x O 1/2

A: Given,            fx=x-816-2x as x→8To find : Evaluate the left-hand limit of the given function.

Q: !. Find the numbers, if any, where the function f(x) is discontinuous. Explain your answer. x + 1…

A:

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y = 4.

A:

Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

A: Follow the procedure given below.

Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

A:

Q: dx Evaluate: (x-4)(x-1) X-1 + C x- 4 A B None of the given choices 3ln + C x-4 - 4 + C x- 1 D X- 4 E…

A:

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

A: Given problem:- Consider the parametric curve defect by   x = 3 + 5t and y = 1 + 3t   Over which…

Q: Q2) Convert the polar function r = tan20 to cartesian

A: We know that x = rcosθ, y=rsinθ Given: r=tan2θ

Q: Please answer the question below: Explain in detail which test you are using to determine…

A:

Q: Which of the following limits has a value 0? In x I. lim II. lim X-0 e* Neither I nor II. O l only…

A:

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

A:

Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

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: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

A:

Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 and whose normal line…

A:

Q: Q: Find the inverse (by any method you want) of the following matrix 31 1 4 3 1 3 4]

A:

Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x + 65 , start at x =2, accuracy…

A: Let's find.

Q: Use the Trapezoidal rule with step size Ar = 1 to appoximate the integral f(x)dx where a table of…

A:

Q: 8. (5x'-4x +8x) dx

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: 1' 1 3 (e) Show that 5 k=1 k k+2

A: I am attaching image so that you understand each and every step.

Q: inside polar functionr = 2 and outside p in third auartor

A: We have to find the area according to the given information

Q: +1

A: I have stated the used formula in the solution

Q: Is Rolle's theorem valid for the function f(x) = V1- a. Yes. It is valid in this range b. No. It is…

A:

Q: Q3) Find the Area bounded by the curves y? = and x = 2y – y².

A:

Q: Find the Area bounded by the curves y? = x and x = 2y – y².

A: Draw the graphs of the given curves and mark the intersection area.

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

A:

Q: Ob.2 amom +C Evaluate +Vrdx Oa.5 2 5 3 2 Oc 2 wn +C Od 3 +C 2/3

A:

Q: Q4) Find plane area inside the polar function r = 2sin E- 0) and outside r= sin -0) in first…

A:

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

A:

Q: 24. dx AX

A: