Function h is graphed. ← -4 -3 -2 -1 Find ["h(2) dz. [²h(z) dz = [ Y 4 3- 2+ 1 -1 -2- -3- -4 h 1 2 3 4

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Area under curve

Q: A particle is moving along the curve whose position vector is given as R(t) = (t)i + ( În (cost)) j…

A:

Q: 1. Find the area between the curve f(x)=√x and g(x) = x³.

A:

Q: Evaluate: 3₂(4x²y - z³) dz dy dx

A: On solving this we will get

Q: The value of A. sin-¹ x +√1+ x² + C B. sin ¹x-√√1 + x² + C C. sin-¹ x + √1- x² + C D. sin¹x-√1- x² +…

A:

Q: x² 1) Let f(x) (Figure 24). Verify the following: x 1 (a) f(0) is a local max and ƒ(2) a local min.…

A: Question a,b , c are solved. Solving more than 3 sub part are against the policy of bartleby.

Q: S f(x) dx = [ -6 -5 f -2 Y 7 3 -3 7 X

A: This above given expression of integral is shows integral value of function f(x) from x=3 to x=7.

Q: In Evaluate the integral: ₁²t² fln s t teu du ds dt

A:

Q: Q1llenn Prove the following using the principle of mathematical induction. For n ≥ 1, 1 1 1 1 3/2 +…

A: Given; 1/52+1/54+...+1/52n=(1-1/25n)1/24.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: 2. The function below, and its graph, gives the rainfall in mm/day that falls in the month of May,…

A:

Q: Evaluate sin (x) e-x dx by use Simpson's rule. h= 0.5

A: This is a problem related to integration part of the mathematics. Based on the general formula and…

Q: Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

A: In this question we have to differentiate the function with respect to y.

Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: II. Find the inverse of each matrix. -9 6 2. 4 -8

A:

Q: 2. Find the total area under the curve f(x) = 2xe² from x = 0 and x = 5.

A:

Q: Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y" +…

A:

Q: Z4 =:₂₁ (4x²yz - dz dy dx S₁

A:

Q: 5x 2 Evaluate: f fx fdz dy dx 2

A:

Q: Evaluate the integral: -2e 2е π/3 ₁² /³ tlnu tans ds du dt 0

A: In this triple integral we first integrate with respect to 's' then with respect to 'u' and in last…

Q: Q3 A) Write the first five terms of the following: - 2. {1- (-1)") (3n+2 B) Determine which of the…

A: "since you have asked multiple question,we will solve first question for you.If you want any…

Q: 3 Evaluate: ³₁₂₁(4x²y — z³) dz dy dx

A: Topic = Integration

Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A: Explanation of the answer is as follows

Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: dy Solve the differential equation. X dx = y + x³ + 3x² -2 x

A:

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(9y) dy =…

A:

Q: PARKING THIS BLOCK 2AM TO 5AM 2 HOUR PARKING THIS BLOCK 9AM 6PM EXCEPT SUNDAYS 15 MINUTE PARKING…

A: Ques (a) According to the third sign (at the bottom), the parking time is between 8 AM to 5 PM. So…

Q: Find the area of the region bounded by the curves 1 y = , y = 4 and the x-axis using vertical strip.…

A:

Q: For each of the following ,find fx fy fxx fy fyx and fxy f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹e². 3.…

A:

Q: need

A: We will solve the problem.

Q: Find the volume of the solid that results when the region enclosed by y = √√√x, y = 0, and x = 49 is…

A:

Q: Evaluate: ₂1+ 2y dy dx ₁¹

A:

Q: cln 3 In In 2 tanh xsech’x_dx

A:

Q: True or False? 4. Let f : R → R be a function defined by f(x) = x^2+1. If B = {2, 5}, then…

A: according to the company rule we can answer only the first question and rust can be reposted.

Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 4 y²+1

A: Here we have to find the area of the region bounded by 2x=4y2+1

Q: Evaluate: ³₁² [(x² - y²) ² x+y 21 du dt

A: The integration of the double integral is  (x2-y2)2/(x+y)

Q: xy' + (x +1) y xe sin 2x

A:

Q: Let R be the region in the first quadrant bounded above by the parabola y = 4 x² and below by the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A- Answer the following L-1 3s-1 s²+2s+5

A:

Q: cos x(sec x + tan x)dx

A: Given ∫cosx(secx+tanx) dxTo evaluate the integral:

Q: Evaluate the following * 6cos (2x) dx O3sin(2x)+C O 2sin(2x)+C O sin(2x)+C O-3sin(2x)+C

A:

Q: he table of integrals to evaluate the integral. (Use C for the constant of integration.) sin (20) J…

A: The solution is given below.

Q: 62. y" +9y=e* cosx

A:

Q: n+an-1+an-2+...+ hat is the lim ´x→∞ (n − 1)x¹−¹ + (n − 2)xn−2+...+ï' −‚n €Z+?

A:

Q: 3 By direct partial integration, Solve the following PDES 8- 8²u axdy = ceBX Cosy SXUCX,#) Ex u(π,…

A:

Q: Consider the parametric curve: x = ln (8t) y = 5t³ Which integral gives the arc length of the curve…

A:

Q: show that V(x, y) = x 'f (2x+y) is the genera Solution of : du 2X x av ах 1 ду

A: First, we find ∂v/∂x and ∂v/∂y  and substitute them in the given equation, if it satisfies the…

Q: π/3 So, f²ef/³ t In u tans ds du dt

A: Given problem:-

Q: 3. Determine the roots of y"" - 4y" + 3y = 0 a. 0, 1, 3 b. 0,-1, -3 c. 0, 1, -3 d. 0,-1, 3

A: