Evaluate the triple integral. SSSE2.xy dV , where E lies under the plane : = 1+x + y and above the region in the xy-plane bounded by the curves y = VT, y = 0, and a = 1.

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

A:

Q: Helene invests Php 5,000 in an investment that earns 6% per annum. How many complete years doe it…

A: Topic = Algebra

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: Let 1. f(x) x+1 Use the limit definition of the derivative to find (i) f'(-4) = (ii) f'(- 2) = (i)…

A:

Q: PART II. Find the derivatives of the following expression, solution must be presented. 1. x²y – ỹ =…

A:

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

A:

Q: Which of the following is one of the correct steps to evaluate cos'x dx to obtain the desired…

A: Solving

Q: Σ (-1)" n=1 3-4n-1

A: topic - geometric series

Q: Find all values of x that satisfy the equation f'(x) = g'(x) if f(x)=sin x and g(x)=cos x. a. * +kT,…

A: Given that     f(x) = sinx and g(x) = cosx  Here we have to find all the values of x that satisfy…

Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

A:

Q: Consider Evaluate 3x)

A:

Q: Convert to an equation in rectangular coordinates. r = 4 csc (0) – sec (0) (Express numbers in exact…

A:

Q: g"(x) sin(x- 1) x-1 -4 13 A(x) = kr -8x + 6, -1 10 x>3 8 3 -1 (E) Find all x value(s) on the open…

A:

Q: 6.Find all the first partial derivatives of each function x² – y² c. f(x,y) ху с. = d. f(x,y)=e* cos…

A:

Q: g(x) - tan(x)

A: The functions given are fx=x,gx=tanx. Formula used: Newton's Formula xn+1=xn-fxnf'xn

Q: 2. Use a parametrization to express the area of the given surface as a double integral and then…

A:

Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: 3 -1 3 0 Given F = show that: 19. –F" = (-F)" 20. (F")" = F m 2.

A:

Q: 1.) f (x) = 10x10 4.) f (x) = %3D 2.) f(x) = x² – 9 5.) f(x) = 2x² + Vx 3.) f (x) = –x5 – x-3 – - x

A:

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

A: We have to convert polar equation into Cartesian equation

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

A:

Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.

Q: Determine the general equation of the plane Ω passing through the point P(−5,−4,1) and parallel to…

A:

Q: 36. (х, у) —- (0, 0) lim (x + y²) In(x² + y²)

A:

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

A:

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

A:

Q: Express the shaded area of the region shown below by double integrals of order of integration (1)…

A:

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

A:

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

A: The given differential equation is dy-2x1-y2dx=0

Q: At what rate is the distance between the planes changing? Step 1 Let s denote the distance in miles…

A: Topic:- geometry and application of derivatives

Q: Question 2 Evaluate: J y* sech (e m)tanh (e ), 7Iny @ -ch(v^) +C B) None -ech-(7) +C 7 ® ech (»*) +c

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 volume of the solid that results when the shaded region is revolved about the indicated…

A: Let's find.

Q: Find f"(2) if Ax) %3D x² - 3* 08 O -7 4 O 2

A:

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

A:

Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: Is Rolle's theorem valid for the function f(x) = Vi-x on the segment [-1,1]? a. No since the…

A:

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

A:

Q: "u,V.w are three vectors such that each is incined at an angle of 4 with the other two, and that lul…

A: To find the scalar product of two vectors with the given conditions.

Q: Consider a function () whose dertvative ') continuous as shawn below Graph of f'(x), NOT f(x) 1 5 -1…

A:

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

A: I have stated the used formulas in the solution

Q: Find the 0lar eauatiDo for the curve represented by the given Cartesian euation.

A:

Q: 1. Solve letter a and letter b. Show t complete solution. а. Find of the dy dx function 9x* + tany…

A: Topic:- derivatives

Q: –6x-'dx

A: Follow the procedure given below.

Q: Evaluate the definite integrals

A:

Q: Find h'(x) if h(x) = x³e*sin x. O a. h'(x) = 3xe*sin x + x'e*sin x + x'e*cos x 3X, O b.h'(x) =…

A:

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

A: To find the derivative.

Q: Find the volume of the following solid. The tetrahedron bounded by the coordinate planes (x-0, y= 0,…

A: Given problem:- Find the volume of the following solid.   The tetrahedron bounded by the…

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: dy = Solve 2xy r x2 + y? given that y = 0 at a = 1 %3D

A: To find particular solution of D.E.