find given f (x, y) = eª + 2xy² – 4y at (0, 3) af dy'

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A: We have to evaluate

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A: On solving this we will get  To evaluate the given integral we use the the identity in given option…

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Q: General solution of dy dx = tan²(x + y) dx

A: This question can be solved by taking x+y=t

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Q: If f(x) = 2[g (x)]³+7, then what is f'(x)? (A) f'(x)=6g (x) g'(x) (B) f'(x)=6g'(x)…

A: Use the chain rule of differentiation and then solve .   As per the bartleby guidelines I am allowed…

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A: Let's find limit of given function.

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Q: 1. S In(x+2) 2x+4 dx

A: Given,∫lnx+22x+4dx

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Q: = 4 R is the region bounded by y = x², y = 4x - x² and the line x = and it is revolved about y = 0.

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Q: 3. The Critical Point of y = xe-*

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Q: Which of the following can be determined given A [²(f(x) + g(x) + h(x) dx 4 ® B √g(x) dx © (4f(x) +…

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Q: If A = 2x²,-3yz, xz² and qp = 2z - x³y. Evaluate A Vop and A x Vp at the point (1, -1, 1).

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Q: 1. Solve for x and y in xy + 8 + j(x2y + y) = 4x + 4 + j(xy² + x) A. 2, 2, B. 2,3 C. 3,2 2.…

A: We can find the values of x and y. Note :As per our Guidelines , we can solve first question…

Q: Evaluate the following indefinite integral using Partial Fractions S x² +4 (x²+4x+3)(x-2) dx

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Q: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

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Q: Which of the following is the antiderivative of the integral function: * f(xex) dx - ex + C none of…

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Q: 8. Find the area between y = sinx cosx and y = sinx, over the interval 0 <x<T

A: Given y=sinx cosx &amp; y=sinx between the limits x=o to x=πTo find area between two curves:

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Q: Find the length of the curve of 8x = y² + 2y-² from y = 1 to y = 2.

A: Length

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A: Volume

Q: Solve for the area of the region bounded by x² = 4y + 4 and x = y = 2 (A) none of the choices 128 B…

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Q: Find the derivative 4cos4t sin4t O2cot4t O Other: -1/2 cot4t of the parametrically defined curve (t)…

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Q: 10. The current to a projection lamp is measured at 4.7 A when the line voltage is 115.45 V. find…

A: 10)  P=VI P=115.45*4.7 P=542.615 watt(w)

Q: fx(2x + 5)³ dx

A: Integral

Q: |y²Z² YZ Y+ZI z²x² ZX Z + x = 0 x²y2 XY X+YI

A:

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A: We need to evaluate the value of the following limit limx→12-x-xx-1

Q: Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b] th then A True B False [ f(x)dxz…

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Q: me general solution of (D²-2D+1)y=2sin > A y=c1eX +C,xe* + sinx+cos x y=C1eX +C,Xe* + sinx ©…

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Q: 5 L₁ (2.2.²_ (2x² – 3x)dx 2. 2

A: Here we have to solve the given integral.

Q: 4 The reverse order of So Say 0 J4y +2 ex² dxdy is equal to e-1 se O None of them O

A: To evaluate the given integral by reversing  the order of the integration.∫01∫4y4ex2 dx dy

Q: x+2 Determine the case of the following proper rational function after simplification: (x2 -…

A: Here, the rational function is: x+2(x2-4)(x3-8)=x+2(x2-22)(x3-23)=x+2(x-2)(x+2)(x-2)(x2+2x+4)

Q: cot 0 sin Ꮎ - csc Ꮎ 11. Prove the identity: - = -sec 0

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Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under Prove your…

A: Given; ( 4D^3-13D+6)y=0

Q: Numerical Integration: c2 S 1 √x 1. =dx

A: The integral is  ∫02 1xdx

Q: Question 2 Given a differential equation as करवर d'y dy dx² +6x +6y=0. dx By using substitution of x…

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Q: 7. Find the area bounded by the parabolas x² - 4y = = using vertical strip. 0 0 and x² + 2y and x² +…

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Q: Suppose that it + [[ f(x, y)dA - 26 and ₂⁹(2, 3)dA R R (A) The value of [kf(x, y) + g(x, y)]dA is […

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Q: 8. (a) Show that (b) Evaluato 1/3 3 √1+9x² -4x4 dx dx = ln(1 + √2).

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

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A: We need to find derivative.

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A: