1. Find the order (write in number) for y² d²y dx2 - 3x- dx5 d5y + 4x = 0. Your answer

Q: How can you say that S (x² + 5x + C) dx = 3x + 5 is incorrect?

A: Given problem:-

Q: b) (12xy2+64+se*)do + CGx?y+2x)dy=0 c) 24 dx + (6x³¬xy•xdy=0

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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: The formulas used in the solution are as follows: 1. Chain rule: df(t)dx=dfdt·dtdx 2. Product rule:…

Q: (2у? + 4л?) da — rуdy — 0 - %3D

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Q: Evaluate p(x² + y²)5/2 dA, where D = {(x, y) E R² | 0 < y < 1, - V1- y² < a < 0}.

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Q: Evaluate the integrals

A: Given: 3. ∫2y dyy2-254. ∫8r dr4r2-5 To Find: To evaluate the given integrals.

Q: If y=x*, then y' (1) = A) 6 B) 12 C) e6+12 D) In(6) + 1

A: Given; if y = x6x , then y'(1)=?

Q: -Tx2 -i2Txs e dx = e e TS2 8.

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Q: If S_fxdx= 10 and fx)dx=3, then f(4 – f(x)dx=3, then f(4 – x)dx=? (А) 6 (в) 10 (C) з D) 7

A: Given:       To determine:

Q: Calculate , if xyz Ax, y,2) = x² – x²y³ -2 3 = x -x y -Z A.5 1 C. No one correct. В. D. E. 7 Е.

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Q: dz a) $. Y z – 10

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

Q: If 3f(x)dx 6,and 5f(x)dx = 15 ,then 6f(x)dx = (a) 10 (b) 20 (c) 30 (d) 0 (e) 40

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Q: If | f(x) dx = 37 and Jo I g(x) dx = 14, find [4f(x) + 5g(x)] dx.

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Q: If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) ?

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Q: d?y Determine if: 2x2 – xy + 5y2 = 7 dx2

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Q: If + 3x +1) dx = Ax° + Bx² +Dx +C, what is the sum of A, B and D

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Q: L? + y) da + (x + y?) dy ; C: AB, A = [1,3] → B = [3, 0] C: AB , A = [1, 3] → B = [3,0]

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Q: If y = (x2 +8)º, find dx2

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Q: Find d2y/dx2 if e^y− y = x. Write your final answer in terms of x and/or y, and simplify.

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Q: (b) Evaluate 8x' +13x dx. (x² +2)²

A: Given integral is, ∫8x3+13xx2+22dx.   It is integrated as follows:   Apply the sum formula:…

Q: 3) 2хydx + (y? — х?)dy — 0

A: The given equation is of the form Mdx+Ndy=0where M=2xyand N=y2-x2to check the given differential…

Q: •B Find 2xVx- 5 dx, where B > 3.

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Q: 9 dy 3) (y+2)

A: Given, ∫1∞9dy(y+2)2

Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

A:

Q: 9. If y = V-Ix|, then Df: (a) R\{0} (b) R %3D

A: we have to find the domain of y.  We know that y=√f(x) exists if f(x) &gt;=0

Q: If y= x6* , then y' (1) = %3D A) 6 B) 12 C) e6+12 D) In(6) + 1

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Q: Is the statement true or false? if y=(x+1)(x+2)(x+3)(x+4), then d5y/dx5=0

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Q: Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by M(x.y)…

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Q: If h(x) = 3x +1 and k(x) = x' + 3x, what is (hk)(2)? O a. 120 O b. 140 O c. 150 O d. 130

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: (y³ + kæyª – 2x) dæ + (3xy² + 20x²y³) dy O 20 O 10 O 5

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Q: (c) de xy³, y(0) = 1

A: Solving by separable method we can get

Q: If 3x² – 4xy = 1, then when x = 1, dy A. В. 1 c. D. 0 E. - 1/2

A: We will use implicit differentiation to find the value of the derivative of y with respect to X in…

Q: В. Is (D+1) (D+æ) eª = (D+x) (D+1) e" ? Explain %3D

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Q: en(x² + y?) dA where D = {(x, y)|0 < y < 3, -/18 – y? <x< -y}. sen

A: To evaluate the below integral. ∫∫Dsinx2+y2dA Here  D=x,y|0≤y≤3,−18−y2≤x≤−y

Q: 2) Evaluate | xy? dxdy D. where D: x+y² <2, x N 0.

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Q: dy 2 = -5 : glo) = 1 y(o)

A: In this question we are given variable separable first order differential equation with initial…

Q: If y=3xe , then what is d²y. 3x dx 2

A: Let's find.

Q: If ∫3 0 f(x)dx=−2 and ∫4 0 g(x)dx=5, what is the value of ∫∫Df(x)g(y)dA where DD is the rectangle:…

A: Consider the given Information:

Q: a2– x2 (x+y)dæ dy

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Q: ( If f(x) dx = 4 and g(x) dx = 4, what is the value of dA where D is the rectangle: D 2 <x < 5, 1<y…

A: Solve the following

Q: Since S xf'(x)dx = 2x3 + 2x2 + c if f(0) = 1, f(1) how much is it worth? O A) 7 O B) 15 OC) 8 O D) 5…

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Q: dy 9. If x? + y² = 16x, then dx 8+ x y 8 y 8 + x C y 8 - x D y

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Q: d. y = In(2x + 5)³

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: d'y If y = x° + 5x, then dx? is %3D а. бх + 5 b. 6x с. О d. None е. 6

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Q: 2. Evaluate 2 if y = ava a²-x, where a > 0 and a ±1. dx

A: dydx=-aa2-x2lnaxa2-x2 see below the calculation

Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

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Q: a? + y? dV W : x² + y² < 9, 0<z< 18

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Q: If 2= 4y and if y = 4 when x = 0, then y = dx a. 4e4* b. e4x c. 3 + e** d. 4 + e4x e. 2x? + 4

A: Topic:- application of integration

Q: If S, * g (x) dæ = -4and , g (2) dæ = Ss 9 (x) dx ? = -4 and 6, what is 10 -10 -2 2

A: Given