(7) (4x³-9x² + 7x + 3)ex. dx = A) e-*[4x³ + 3x² + 13x + 16] + C B) -e [4x³ + 3x² + 13x + 16] + C C) e-x (4x³-9x² + 7x+3)-e-*(12x² 18x-7) + C D) -ex (4x3-9x² +7x-3) + e-*(12x² + 18x + 7) + C 1

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A: r(t)=cos(-3t) i+sin(-3t) k-10tk

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A: Evaluate  ∫09ti+t2j+t3kdt

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A: To solve the following

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Q: (1) an 3n2-2 en (ii) an = (-1)" 4П (iii) an = 3n2+2 n2+1

A: i) an=(3n2-2)/en ii) an=(-1)n/4n iii) an=(3n2+2)/(n2+1)

Q: 3. Verify that fry=fyx a. f(x,y)=2x²y³ – x³y²

A: (3) (a)  f(x,y)=2x2y3-x3y5

Q: F-dr along the curve C: Consider the vector field F Evaluate F F(t) = t²i+t³j, 0≤ t ≤ 2 PARKING

A: Change the given integral in terms of 't' .

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Q: When solving the logarithmic equation log(x - 5) + log(x+4)= 1 for x, the solution is = and an…

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A: This question is based on Gradient of function. function, h(x,y,z) = xyez

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A: NOTE: Refresh your page if you can't see any equations. . so the function f is, the given point…

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A: Find the solution of the equation 4sin(x) +3 cos(x)=0 in the interval [0, 2pi).

Q: Solve the initial value problem. dr Differential Equation: Initial Condition: r(0)=3i-5j O A. r(t) =…

A: This is a variable sepration differential equation

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A: To calculate the work done on an object by a force, we use the formula: Work = Force x Distance x…

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Q: Use Green's Theorem to evaluate F-nds, where F = √+4y, 2x + 4y) C is the boundary of the region…

A: We have to evaluate the integral ∫CF→·n→ds, where F→=x+5y,4x+5y. Where C is the boundary of the…

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A: F→=5zcosx,3zsinx,7z

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Q: Find the volume of the solid bounded by the ellipic paraboloid z = 5 + 2x² + 3y², the planes x = 3…

A: We have to find the volume of solid bounded by elliptic curve z = 5 +2x2+3y2  and the planes x=3,…

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A:

Q: Answer the questions about the following function. f(x)=3x²-x-2 (a) Is the point (2,8) on the graph…

A: f(x)=3x2-x-2

Q: Carl Williams, the proprietor of Carl Williams Auto Sales, estimates that with extensive television…

A: Carl Williams, the proprietor of Carl Williams Auto Sales, estimates that with extensive television…

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A: NOTE: Refresh your page if you can't see any equations. . take Laplace on both sides here we have…

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A: We have to evaluate the integral.

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Q: 1. Let f(x,y)=x²y + √y Find each value a.f(2,1).b.f(3,0).c.f(1,4)

A: We have to find the value of the function for the given points, f(x,y) = x2y + y points : f(2,1)…

Q: Consider the vector field F = F(t) = t²i+t³3 0 Evaluate 1² F. dr along the curve C:

A: To solve the following

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A: Here we have to find the area of the region enclosed by the curve x=2y+6 and x=(y−2)2+10:-

Q: Let P be the plane in space that intersects the x-axis at 2, the y-axis at -2, and the z-axis at -4.…

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Q: Solve the ODE equation ✓² +3Y²_4y = 4 cos 3t, where you = 1 and X (0) = 3

A: y''+3y'-4y=4cos3t, y(0)=1 and y'(0)=3

Q: What is the derivative of f(x)=sec^-1 (e^x)?

A: fx=sec-1ex

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Q: Se ทะเ Ifu ^^ +2 2

A: To find whether the series is absolutely convergent or not.

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A:

Q: a B Find: b C A Note: Triangle may not be drawn to scale. Suppose a = 12 and A = 5 degrees.

A: a=12 , A=5°

Q: a Find: b = B C = Note: Triangle may not be drawn to scale. Suppose a = 4 and A = 65 degrees. B = b…

A: The figure of right triangle is a = 4 and A = 65° To evaluate: The values of b, c and B

Q: Part 1 Use differentiation and/or integration to express the following function as a power series…

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Q: Suppose (t) = cos(πt)i + sin(πt)j + 3tk represents the position of a particle on a helix, where z is…

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Q: a Find the missing parts of the triangle. Express angles in degrees rounded to the nearest 0.1. Do…

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