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

Q: Evaluate triple integral , dz dy dx.

A:

Q: cos x sin'x dx can be evaluated by factoring sin'x as (sin?x)²sinx and transform sin?x into 1– cos²x…

A:

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

A:

Q: Find the surface area of the cone z = x² + y2 that lies between the plane y = x and the cylinder y =…

A:

Q: prevents changes to this answer. Which series converge in the interval described by x<1? 1.…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: Here, the volume formula is given by: V=∫012πy(g(y))dy=2π∫01y13y-13y2dy

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

A:

Q: Find an equation of the plane that passes through the point P(-5, –8,8) and has the vector n = (-8,…

A:

Q: Evaluate fs 2°ds O a. 2*(sln2 - 1) (In2)2 O b. 2(słn2 - 1) (In2)2 O C. 25 - 1) In2 O d. 2° (+ 1) +1)…

A:

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

A:

Q: A line is drawn through the point (6,4,2) perpendicular to the yz- plane. Find the coordinates of…

A:

Q: Find the value of A which is defined as the angle between i+j and j+ k.

A:

Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

A:

Q: 8. (a) Use the limit comparison test to determine whether the series converges. k=1 (b) Use the…

A:

Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

A:

Q: a ) Σ-1 (-1)"-1 Zn=1 2n+1

A:

Q: find the rational number represented by the repeating decimal. 0.451141414

A:

Q: Q5) Find volume of body bounded by z² + y² + x² = 9.

A: Explanation of the answer is as follows

Q: Given that x=t3+t and y=3/2t4+t2, find dy/dx, d2y/dx2, d3y/dx3

A:

Q: A. Evaluate the limit of a function using the concept of Special Limits. 1. lim t→0 t t2-3t+5 + t2-1…

A:

Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 27] Step 1 The…

A: topic -application of derivatives

Q: 4. S cot?x dx

A:

Q: SVx+3(x+ 1)dx r64 dt ap 2 +-2^)

A:

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

A:

Q: ) Evaluate the following integral using Partial Fractions Method: y = x3 + x2 dx х2 + х — 2 x – 2 |

A:

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

A:

Q: 1. Mang Vicente has 1000m of fencing material and wishes to enclose a rectangular field. Two (2)…

A: Mang Vicente has 1000 m of fencing material and wishes to enclose a recangular field. Two adjacent…

Q: –6x-'dx

A: Follow the procedure given below.

Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

A:

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: Evaluate the following limit: x² + x- 2 lim- x-1x2- 2x + 1 If it does not exist enter DNE. Round to…

A:

Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y = T9x2 + 16 %3D

A:

Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

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

A:

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

A:

Q: Which of the following yields the value 3580? O none of the choices (18x+7y)dxdy (18x+7y)dydx…

A:

Q: 3. Determine the following a A negative angle in radian measure coterminal to Show calculation steps…

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: Which of the following yields the value 3187 (8r+7y)dudy (8r+7y)dydr (8r+7)dudy O none of the oices

A:

Q: Consider ,- (x3+y²). Evaluate dx² O (9x4+6x)e «³+y?) O (6r²+ 3x)e (x³+y?) O (6x4+9x)e (x³+y?) O…

A: I have stated the used formulas in the solution

Q: Determine a and b so that the function f(x) is continuous for all values of x. jika x <- 2 sin x…

A:

Q: *) dx Evaluate:

A:

Q: Evaluate: | (cosh²2r+ sinh²2r) dr (A 2r +C 1 -sinh 2r +C 2 B -sinh 4r +C 4 D r +C E None

A: cosh²(2r)+sinh²(2r)= cosh(4r) ∫cosh(x)dx= sinh(x)+C, C is a constant.

Q: Evaluate the limit, if it exists: x²-9 lim *-3 X+ 3 does not exist -6 1

A:

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

A:

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

A: Let's find.

Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: The water is leaking at the rate of π/2 m³/min.

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

A: