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Q: Find an equation of the plane with point P (2, -1, 3) and containing the line L: x-3 y+4 z-5 -6 10 =…

A: General equation of a plane passing through P(a,b,c) is, P(x-a)+Q(y-b)+R(z-c)=0....(i) Where P,Q,R…

Q: Apple music subscription fees for $10 a year. After paying a subscription you purchase 4 items your…

A: To describe a linear function which relates the cost with no. of songs purchased.

Q: B. Solve the following word problems. Express all answers in simplest form with the correct units.…

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Q: Solve for the general solution of the given differential equation: O 2x^3 + 3y^2-6y=c O 2x^3 + 3y^2…

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Q: Show that the equation x3 - 15x + c = 0 has at most one solution in the interval [-2, 2].

A: The given equation is; x3 - 15x + c = 0

Q: 6. y" - y = 4e-2 1-e-2x

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: Please show your answers to at least 4 decimal places. Suppose that f(x, y) = x³y². The directional…

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Q: determine whether the sequence converges or diverges. if it converges, find the limit. (if the…

A: We can find whether the sequence is convergent or divergent .

Q: If f(x) = √7x, find f'(x). Find f'(2).

A: Solve

Q: Use l'Hôpital's lim X-0 sin (x) - x lim 3 X→0 6x sin (x) - X Rule to find the following limit. 3 6x…

A: Solve the given

Q: (a) lim 2²/ I→∞

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Blood Alcohol Level  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid…

A: Given:-  The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of…

Q: 3x+1=32

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Q: Find the unit tangent vector to the curve at the specified value of the parameter r(t)-9 cos(t) +9…

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Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

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Q: 4. The value of a timber forest after t years is V(t) = 4 maximized.

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Q: dors de lim (3x - √90c²-5x+7 84∞

A: Topic - Limits We are given limx→∞3x-9x2-5x+7

Q: Use the particular solution method to solve y - y = 2e²

A: Given that  a first order linear differential equations and we find particular solution of this…

Q: Solve for the general solution of the given DE: O x In y + In In yl = y + c Ox In x + In In y = x +…

A: We can find the solution of the given differential equation by using the variable separable method.

Q: 13. A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward the first…

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Q: 2. Solve the following a) Sketch the solid which volume is expressed by dydzdx b) Sketch the solid…

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Q: 7. Use the given information to find the indicated probability. P(C) -0.6, P(B)-0.5, P (CUB)-0.7,…

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Q: (x = -1 + sect b) { y = 2 + tant -<< 2 2

A: To convert the given parametric equation to Cartesian form.

Q: .x²y" - 2xy + (x² + 2)y= x³ cos x; Y₁ = x cos x, =rsinr Y2 = 3

A:

Q: Condense log(x-1)-log(x+2)=0.1

A: need to condense the logarithmic function.

Q: Given f(x, y) = 2e¹* sin(3y) ㅠ then Vƒ(0, ▼ ƒ(0, 7/2) =

A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

Q: Let f(x) = x³ + 6x² − 96x + 19. (a) Use the definition of a derivative or the derivative rules to…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 4x² + 2y² = 24 Please…

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Q: In the following exercises, change the order of integration and evaluate the integral. π/2 Z+1 ://…

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Q: Sketch the graph of the function below, including correct signs, x-intercepts a intercepts. f(x) =…

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Q: 6. The series 겨 8. (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: To find the convergence of the given series.

Q: Evaluate te F. dr. F(x, y) = xi+yj C: r(t) = (9t+4)ī + tj, Ostsi

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Q: Evaluate the improper integrals or show that they diverge. Make careful use of limit notation. (a)…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: (₂x), _UIS L y = 7

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Q: Solve each of the following integrals (a) [((1+1)7 + cost]+ kde dt

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Q: 12. A bank account grows at 5% interest compounded semiannually. How long will it take for the…

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Q: The density of the cat population in a Mewpolis, a circular city of radius 10km inhabited solely by…

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Q: Solve each of the following integrals. (a) [{(t+1)7 + cost 7+kat 1+ 30 (b) s((ae²) 7 + (31) di

A: See the details solution in below

Q: 8. Given that f"(x) = 4x- x² + 3 use a test to find all intervals on which f is concave up or…

A: 8)

Q: The graph of the function f(x) = x²2e-x/7 26.53+ 21.22 15.92 10.61 5.31 follows. 5 10 15 20 25 30 Q…

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Q: Find the following using the table below. X f(x) f'(x) 1 2 3 4 +3+ 4 g(x) 2 g'(x) 4 1 2 -~-~ -33 1 2…

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Q: f(x) = 6x - 5 (a) Find the inverse function of f. f-¹(x) = + 5016 (b) Graph fand f-1 on the same set…

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Q: Use sigma notation to write the Maclaurin series for the function COS IIX.

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Q: Consider the following function, f(x), on the interval [-1, 8]. Absolute Maximum 1. Find the x value…

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Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

A: Given query is to find the function of the graph.

Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

A: Concept: The thermometer temperature is represented by T and room temperature by Tm Now at time  t=0…

Q: A landowner has 1200 ft of fencing material with which to enclose a rectangular space immediately…

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Q: Solve the corresponding differential equation given the general solution via elimination of…

A: The objective of the question is determine the differential equation.

Q: Find the absolute minimum and maximum values. f(x)= 2x3+ 3x2-12x-9 over the interval [-3,3]

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