Find the equation of the horizontal asymptote of the function gx2x²+7x+3 5x² O O f(x) has no Horizontal asymptote Oy=-3 O y = 0

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Q: Write the following first-order differential equations in standard form. dy dx = yx(x + 2)

A: To write the following first-order differential equation in standard form. dydx=yxx+2

Q: 8. At age 35, you start saving for retirement. If your investment plan pays an APR of 6% and you…

A: NOTE: Refresh your page if you can't see any equations. . here we have FV=1 million= 1000000…

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A: "Since you have posted multiple questions, we will provide the solution only to the first question…

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Q: use product rule, find derivative of x.y³ 1.y³+x. 3y²y' 1.y³ + x. 3y² x. 3y²y' noe of the above

A: Let z=xy3

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Q: Find the point on the surface f(x,y)=x²+y²+xy-13x+25y at which the tangent plane is horizontal. )

A: We have to find the point x,y on the curve where tha tangent plane is horizontal.

Q: Find the gradient vector field of f(x, y) = ln(18x + 2y - 5).

A: Given: f(x,y)=ln(18x+2y-5) We are required to find: Gradient vector field of f(x,y)

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Q: Fritz Benjamin buys a car costing $10000. He agrees to make payments at the end of each monthly…

A: We have to find the monthly amount paid by fritz.

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Q: A real estate investment, originally worth $6000, grows continuously at the rate of 600e0.04t…

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Q: Find the derivative of the function. s = t6et

A: Given s = t6 et

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Q: Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p…

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Q: 1 Find the orthogonal Projection U<1, 1, 23 onto № 2-2, 3, 1 h And its orthogonal Componet to V

A: To find projection of vector u orthogonal vector to v.

Q: If h(2) = 4 and h'(2) = π, find g'(2) where g(x) = 2x h(x) + cos(x)

A: To find out the derivative of the given function.

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Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. =1 Co C₁= -(0)²…

A: We need to find the Taylor series for f(x)= sinx at x=π2. This can be evaluated as follows:

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Q: k=2 k (k³ - 1)³/7 3

A: Use limit comparison test

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Q: The Horizontal Asymptote of a rational function is always determined by the leading coefficients of…

A: Given, a rational function.

Q: Differentiate (Inx)^1/2 - In(x)^1/2

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Q: Evaluate the indefinite integral as an infinite series sin x I sin 3x dx. Find the first five…

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Q: Evaluate the line integral 5xy² ds, where C is the right half of the circle x² + y² = 36.

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Q: + System A 1 Line 1: y=-x-3 4 Line 2: x+4y=-12 2 afr 6 This means the system has: O a unique…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=(2x)…

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Q: Use double integrals to find the Moment about the x-axis of a thin plate which occupies the planar…

A: The planar region is:  0≤y≤8x ,         0≤x≤1Density at point (x, y) is given by:  δ(x, y)=3ex

Q: What is f'(x) given the integral function f(x) = ²√udu? O f'(x) = √√x ○ f'(x) = √E O f(x) = -√√√x O…

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Q: What is the allowable error in measuring the edge of the cube that is intended to hold 8 cu. m., if…

A: Here is the solution of the first one

Q: Find the payment made by the ordinary annuity with the given present value. $93,030; monthly…

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Q: To prove the statement "For all integers a, if a² + ab + 3 is even, then a or b is even", you should…

A: To solve the following problem from Logic

Q: vic 5 for 5: Calculus AB Day 6 x AB3: Evaluate f(x) f'(x) AB2: Let G(x) = ef(x). Find G'(6). [²³xf…

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Q: Find the unique solution of the second-order initial value problem. y" + 6y' +9y = 0, y(0) = 5,…

A: Given data Homogeneous Second Order Differential Equation is,

Q: Evaluate [/S E 2xz dV where E = = {(x, y, z) | 1 ≤ x ≤ 2, x ≤ y ≤ 2x, 0 ≤ z ≤ x + 2y}

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Q: Find F(s). F(s) L{(7t + 1) U(t − 1)} Te -S s² 2 S + 5e S -S X

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Q: • [[ [₂ (²² (x + y −42) dV where E = Evaluate = {(x, y, z) | − 1 ≤ y ≤ 0,0 ≤ x ≤ y,0 ≤z≤x+y²}

A: ∫∫∫Ex+y-4z dV-1≤y≤0    0≤x≤y    0≤z≤x+y2

Q: Evaluate the integral arc y = x² from (0,0) to (1, 1). NOTE: Enter the exact answer. (10 (10x +…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: f(x) = (5x – 1)/2 , x ≤ 3 Find the absolute and local maximum and minimum values of f. Graph :

Q: Find the gradient vector field of f(x, y, z) = V 6x+3y + 4z

A: Solution will be given below   Actually we need to find ∂f∂x,∂f∂y,∂f∂z

Q: Find the compound amount and the amount of interest earned by the following deposit. $4,000 at 7.18%…

A: Given  p=principle amount =$4000 e = the mathematical constant approximately equal to 2.71828 r =…

Q: Which of the following statements is TRUE about the function 1 +1 1463 f(x,y)=(x+2)(2x+3y+1)

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