Find the derivative of the function at Po in the direction of u. 2x-y g(x,y) = 5xy +6 Po(1,-1), u=3i+4j (Pu9) (1,-1) = (Simplify your answer.)

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: Find the area between (bounded) by the curves y = x2 + 10x and y = 2x + 9.

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Q: When fully multiplied out, what is the 8th term of (x – 3y)'³?

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Q: y 5 2y 30 Find the length of the curve x = 5 The length of the curve x = - on 3 ≤ y ≤5 is 30 2y…

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Q: Given cost and price (demand) functions C(q) = 130q+47,900 and p(q) = -2.7q+800, what price should…

A: Given, cost function: C(q)=130q+47900 Demand function:p(q)=-2.7q+800

Q: Find the remainder term R, in the nth-order Taylor polynomial centered at a for the given function.…

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Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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Q: af af Find and for the following function. ?x ду 9xy In (5y) f(x,y) = e af ?х II

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Q: Evaluate the geometric series or state that it diverges. 7² 7³ 12 12² Select the correct choice…

A: We have to find out the series sum

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

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Q: ecosh z √x+1 Let F(x) S 1. Find F(0). 2. Find F'(x). sin(1 t) dt.

A: Let's find value of given function.

Q: Let f(x) = 4x + 8 - 17e. Then the equation of the tangent line to the graph of f(x) at the point (0,…

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Q: The function f() = -3x* + 8x – 6x² has two critical points, c1 and c2. Find and classify them. f(x)…

A: Given function is f(x) = -3x4 + 8x3 -6x2 It has two critical points namely c1 and c2 .

Q: 1. Given f(x) =.9x) = 2x – 7, and h(x) = , find the following. a) The domain of f(x). Write the…

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Q: Given cost and price (demand) functions C(q) = 150q + 47,100 and p(q) = -2q +890, What price must…

A: This question is related to cost and price functions, we will solve it using given information.

Q: Find fx. fy, f₂. 2 2 f(x,y,z) = 3x -√√4y +z² fx= 3 (Type an exact answer, using radicals as needed.)…

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Q: 14 Find f(x) dx for each graph of y = f(x). 0 (a) Q (b) 16- 0 888 16 16+ y BABBARBADE 0 16 Q

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Q: If f(x) = 5x² ln(6x), then f’(x) = f'(x)= f’’’(æ) = f (*) (2) = f(5)(2) =

A: Please see the answer below.

Q: Determine the center of mass for the region bounded by the following. Answer as a fraction…

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Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

A: Given; fx=x2lnx-12x2 ; x∈0,∞    As we know that; The critical points of the function, y=fx can be…

Q: A piggy bank contains only nickels, dimes, and quarters. If there are 76 coins worth $8.50, and…

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Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

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Q: Q6: Solve Nhe Complex equation a, z+z + Iti = 0 3 b. Z°+ z+ Z +1 = 0 where Z= x

A: Concept: Complex numbers: A complicated equation is one that requires the use of complex numbers to…

Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Find the (x-coordinate of the) inflection point of f(x) = x³ – 3x? + 5x – 4

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Q: lim ∞ + X 3x² + 2x - 1 3√7+4x+x² + 3x

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Q: Find the area under the curve using intervals of 1 unit (X) each Integral - Area Under the Curve…

A: Reimann sum:Take the left point of sub-interval:∫16f(x) dx =∑i=1N f(xi*) ∆x∆x=1∫16f(x)…

Q: Suppose you go to a company that pays $0.04 for the first day, $0.08 for the second day, $0.16 for…

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Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Using Wallis formula, find the integral of the expression. Answer in 5 decimal places (example…

A: We will use Wallis integral formula to solve this question.

Q: Solve the following equations:* (DS+D¹-7D³-11D²8D-12)y=0

A: The given differential equation,D5+D4-7D3-11D2-8D-12y=0

Q: please include let u du substitutions

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Q: Match each function with its derivative. Y • x² x4 + 5x 1. cos x - - x8 8. sin x + x4 3x x4 -1.…

A: Concept: Differentiation of xm dydx=xm=mxm-1 dydx=ax=loge(a)· ax

Q: के For the function f(t, x) = sin(4xt +9x), find and da Əf 4x6x(4xt+9α) (Type an exact answer in…

A: topic- partial differentiation

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - ... -(1-1)² T Submit…

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Q: Let f(x) = x5. Use logarithmic differentiation to determine the derivative. f(x) = ƒʼ(1) =

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Q: dy Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dx…

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Q: A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where…

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Q: Write the first four terms of the sequence {an} defined by the recurrence relation below. an+1=3an -…

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Q: A balloon is release from the ground 200m from an observer. The balloon rises 42 directly upward at…

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Q: 2) 1 V1-x² dx

A: The given integral,      ∫11-x2dx

Q: Solve the following equations: (D³ + 3D² + 3D + 2)y = 0

A: We can solve this as follows:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A: Given

Q: 5. For z=x2siny show that 332 332 = дудхду дугдх

A: Topic = Derivative

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x8*.…

A: To find the exact x- coordinate.

Q: If y=u³ and u = 4x² - 2x + 5, give dy dx

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Q: Use the graph of the function y=f(x) below to answer the questions. 4+ 3+ 2+ -5 13 2 3 4 (a) Is…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: f sin x ln(cos x) dx

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Q: Solve the system of differential equations. x₁' = 3x1 - 1x₂ ¸x₂' = 1x₁ + 5x2 x₁ (0) = - 11, x₂(0) =…

A: This is a problem related to solving system of linear differential equation. Based on the general…

Q: (e) Sketch a graph of g(x).

A: We need to find horizontal asymptote and graph.