f(x, y) = 4x² + 5y², P = (-9,2), u = 4i+5j (Duf)p m m

Q: 6. Sand is falling onto a conical pile at the rate of 10 ft³/min. The diameter of the base of the…

A:

Q: 1102^2×11^2

A: We have to calculate the given expression.

Q: 45. A Solve the triar trian b= 8 in с B a 60 C

A: According to bartleby guidelines we supposed to do the first one of multiple question kindly repost…

Q: A ladder of length 9 meters is leaning against a vertical wall. Due to the smoothness of the ground,…

A: A ladder of length 9 meters is leaning against a vertical wall. Due to the smoothness of the ground,…

Q: The x-intercept of the tangent line to the curve y = x - 6 / x at the point (3, 1) is:

A: given curve :- given curve is ,y = x-6x then we have to find x intercept of the tangent line to the…

Q: The volume of the sphere is increasing at the rate of 6 cubic centimeters per hour. At what rate is…

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Q: 2x²ydy where C is the triangle with 7) Evaluate Sexy² dx vertices (0, 0), (2, 2) and (2,0)

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Q: December 10, 2022 at 1:56 PM Starting at age 30, you deposit $2000 a year into an IRA account for…

A: NOTE: Refresh your page if you can't see any equations. . here we have PMT=2000 r=5%=0.05 t=35 years

Q: A conical paper cup is 20 inches tall with a radius of 10 inches. The bottom of the cup is punctured…

A: We know volume of a cone, V=(1/3)πr2h, r is the radius , h is the height Given h=20 inches= 2*10…

Q: Because 1000.5 is close to 1000, let's find the linearization L(x) of f(x)=x^(1/3) at 1000 first…

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3, 12, 48, 192, ... The…

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Q: Find the indicated sum. Use the formula for the sum of the first n terms of a geometric sequence. 11…

A: We have to find the sum  ∑i=111 7·2i .

Q: 14. Determine whether the function is even, odd, or neither (a) f(x)=tan(x) cos(x) (b) f(x)=x*…

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Q: Determine all critical points of the function y = ln(x² - 6x-40) Critical points at x = -4, x=3, and…

A: Given function, y=lnx2-6x-40

Q: Solve the exponential equation and simplify. Give an exact answer. No decimals. 32x-1 + 2 = 14

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Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for an to…

A: given  4,16,64.................formula for nth term of g.p. is  an=a(r)n-1 where a is first term…

Q: Find the derivative of: A) y = 2* B) y = 4x² +3

A: Topic:- application of derivatives

Q: |2x − 1| − x + 5| < 10.

A:

Q: Suppose an architect is designing a pagoda that will sit on a 8 foot by 8 foot square base centered…

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Q: 4) Evaluate (¹ + tany)dx + xsec²ydy where C is the curve Y=X²-1 from (1,0) to (2, 3)

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Q: When using Gauss-Jordan elimination method the first step to solve the following matrix го -2 14 3…

A: The given matrix is; [ 0   -2 :  4   3    5 :   2 ]

Q: Two sides of an oblique triangle are measured to be 6 and 2. If the angle 9 between the two sides…

A: We have to find the rate of the increment of the opposite side.

Q: Consider the differential equation (a) Find 71, 72, roots of the characteristic polynomial of the…

A: According to question,Given Differential equation,y''-3y'+2y = 0

Q: Find the interval of convergence for the given power series. n¹¹(x +11)" 11 35 n=1 (5") (n ³ The…

A: Let's find interval of convergence.

Q: Find the approximate increase by the use of differentials, in the volume of the sphere if the radius…

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Q: ∞xk Use the power series f(x) = In (1-x) = -Σ, for -1 <x< 1, to find the power series representation…

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Q: ។ 2 - 1 = 0 Solve

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Q: 3. [2] A company manufactures mountain bikes. The research department produced the marginal cost…

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Q: Evaluate the definite integral [³ using Part 1 of the Fundamental Theorem of Calculus. (12e +4x) dx…

A: To use fundamental theorem of calculus and integrate.

Q: M: Solve b- - 2 ²2-d+ 2y = 3e*

A: We use techniques of higher order linear differential equations to solve the given differential…

Q: 2ydx + x(x² Iny - 1)dy = 0 Ans. y(1 + x²-x²lny) = cx²

A:

Q: Find all the values of x such that the given series would converge. 3n (x¹)(n+1) (n+7) n=1 The…

A: Solve the following

Q: Solve the given differential equation. dy dx -8x√16-y2 = (A) y=sin (4x² + C) (B) y=sin¹ (4x² + C)…

A: To find the solution.

Q: Evaluate the definite integral. [³ si sin(3t)dt

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Q: Q 3. Using Ratio Test find whether the series is convergent or divergent: √√3 Σ n=1 n 4" n!

A: To use ratio test to determine whether the given series is convergent or divergent

Q: Parameterize the plane through the point (5, 3, -5) with the normal vector (4, 5, 2) r(s, t) = (Use…

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Q: . nx dy dx + 2y = xyn+1

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Q: f(x, y) = 6x² – 3xy+9y² − x+y=7 Local maxima are Local minima are Saddle points are m m … [I]

A: Given function:- fx,y=6x2-3xy+9y2-x+y-7

Q: Find the indicated derivative. 5 f'(x) if f(x) = 4x+- X 5 The derivative of the function f(x) = 4x +…

A: we know that   dxndx=nxn-1 and  dconstantdx=0given  f(x)=4x+5x=4x+5x-1

Q: Find the area of the shaded region. f(x)=x+3 g(x)=x²-3 y ◄||||X -8-7-6-5-4-3-2 ◄||||kty 876543 44 8…

A: The region bounded by the curves fx=x+3 and gx-x2-3. We have to find the area bounded by the curves.

Q: 11. Find the measure of the angle between vector and in both radians and degrees.

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Q: A construction company has an expenditure rate of E'(x)=x dollars per day on a particular paving job…

A: We have to find the number of days which yields the maximum profit.

Q: 10. Find the derivative. Write your answer in simplest factored form. f(x) = (2x+3)(4x-1)³

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Q: Find lim (x,y)-(0,0) y7x⁹8x97y8 + x105 xy7 +x8

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Q: Two sides of an oblique triangle are measured to be 6 and 4. If the angle between the two sides…

A: Ans= 0.0357  For detail...go through the solution...I have solved in detail

Q: A ladder of length 6 meters is leaning against a vertical wall. Due to the smoothness of the ground,…

A: A ladder of length 6 meters is leaning against a vertical wall. Due to the smoothness of the ground,…

Q: A frog at point A on the shore of a circular lake wants to reach point B diametrically opposite A.…

A:

Q: 9. Find the derivative of A) B) y = (lnx)4 y = ln x4

A: we know that  lnxn=nlnx dlnxdx=1xA)   given   y=(lnx)4

Q: Find surface area generated by revolving the curve a2y  x3=about the x-axis from x = 0 to x = a. a)…

A:

Q: Evaluate the integral by making the appropriate substitution: u = 38 fa² (2³ − 1) ³ dx = [ - 38 fx²…

A: Topic = Integration