1-u y= 1+ u u=1-x²

Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y²=x and y=x³.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

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Q: The amount of available supply for the population of certain species is given by 0.1 M(t) = (5+…

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Q: A В D ľ КIN 5л 2 (2 — 4sin(0) + 2 sin²(0)) d0 (2 - 4 sin(0) + 2 sin²(0)) d0 (1 — 2 sin(0) + sin²(0))…

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Q: 1 (x² - y²)² x+y valuate: ²₁₁² dx dy

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Q: A and b

A: We need to solve maxima/minima problem.

Q: Determine the roots of y"" - 4y" + 3y = 0

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Q: Prove the following using the principle of mathematical induction. For n > 1, 1 1 1 1 = + + + 54 ( –…

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Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution…

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Q: S- tanh e cosh(z) – sinh(z) -dz

A: Let's evaluate given integral.

Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: This is a problem related to function and number system of the function. Based on the general…

Q: Find the area of the region enclosed by the curves y =

A: answer is in next  step

Q: 3. √ √1 + x² dx

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Q: Find the general solutions for these differential equations: a. xy’ (2y - 1) = y (x - 1) b. (xy –…

A: We have to solve given D. E.

Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

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Q: whats next the pattern 6 13 24 51 142

A: whats next the pattern 6 13 24 51 142

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

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Q: Let R be the region enclosed by the polar curve r (0) = 2 - 2 sin(0), as shown in the graph. y 1 1 R…

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Q: Evaluate the integral: -2е π/3 ƒºƒ²² ƒ”¹/³ t ln u tans ds du dt see

A: Given

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

A: Topic = Integration

Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

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Q: Function f is graphed. -4 -3 -2 A Y 4 3 2 t 1 1 4 2 3 -1+ -2- -3- -4 Find f (2) da. Give an exact…

A: We can find the given integral by using the application of the integral.

Q: odules CALC 2 INTEGRAL CALCULUS ACTIVITY 1 Evaluate the following. Show your complete solution. 1. f…

A: The integration of the integrals are;  1)z5 2)y1/3 3)6/x4. Repost the next parts.

Q: - x, then answer the following (1) Find the function's domain (2) Find the function's range. (3)…

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Q: hi what is the simplified final answer of this?

A: Given problem:-

Q: t = b? Choose 1 answer: b Ⓒ / ° v A a © B Ⓒ a b cb a a b e20t+t6 dt e10t+t³ dt 10e10t+ 3t² dt…

A: Topic = Integration

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

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

A: Let's find area of the region bounded by curves and given line y=4.

Q: Given a second order differential equation dx X = e³t dt where t = 0, x = 2. 3t Using Laplace…

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Q: Question 3 Determine L-1 ¹ s²+3s-7 (S-1) (s²+2).

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Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

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Q: 1. Given vector 2 0-3 is 2. It is known that a à vector : ( 2 ) and 3 = (-1) is a vector in 1R³ with…

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Q: Given f(x)=x²-1 on [-2,2]. a. Find the critical numbers of f on the given interval. b. Determine the…

A: A critical number of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: 1. Simplify. Write "undefined" for expressions that are undefined. 1 -6 030-0 [B]- 4 + 5 -2 4.)

A: To simplify.

Q: S77/2 Su² sin (=) dt du Evaluate the integral: f/2.

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Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0

A: Given (y-cos2x)dx+cosxdy=0To find general solution:

Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: xy³ = Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point ?

A: If limit tends to 0 and function tends to 1 then f is continuous.

Q: 7. The value of sin(1¹/3) dt 12/3 S

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Q: (d) (sin(x + cos(2x + 3√)))'

A:

Q: Evaluate [x² √2x+1dx

A: Indefinite Integration

Q: • show that (x, y, z) = PDE : 2²4 ахг 824 дуг + 2 x² + y² + z² = 0 8²4 dz² satisfies the

A: This question can be solved using the concept of partial differentiation.

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: (1) we have to fill in the blanks Let I be a proper ideal of the commutative ring r with identity.…

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: ♥ дzu ахбу = сезх созу, Ans: u(x,y) = sinx siny + x² + 2 cosy - #2² X 1 бу исx;#) =X бx U(x,п) =X,…

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Q: Solve the initial value problems dy 19. (x + 1)- dx -2(x² + x)y=x+1' x>-1, y(0) = 5 dy 17. 0 + y =…

A: Given (x+1)dydx-2(x2+x)y=ex2x+1       y(0)=5, x>-1To find Solution of Differential Equation:

Q: - show that (x, y, z) = 8²4 PDE : 2²4 дуг дуг + + x² + y² + z² = 0 8²4 dz² satisfies the

A: Given that ϕ=1x2+y2+z2

Q: find the derivitive, r'(t), of the vector function.  r(t)=a+3tb+t^7c

A: