Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and (x+1)/2=y/-1=(z-16)/5

Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 258 - cost is MC =…

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Q: Evaluate the double integral cos √√x² + y²dA, where D is the disc with center the origin 。 and…

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Q: 1. Verify that y = e²x — e-* −1 is a solution for y" - y' -2y = 2

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Q: A curve in polar coordinates is given by: r = 7+2 cos 0. Point P is at 0 = 16 14 a.) Find polar…

A: We have,    r = 7 + 2 cos θ   Point P is at θ = 16π/14

Q: Consider the function f(x) = 2x³-9x² - 108 +4 on the interval [-4, 8]. (a) Since the conditions of…

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

Q: 4. Determine the 75th derivative of each of the following functions. f(x) = 3 cos 2x b)

A: given function is f(x)=3cos(2x) we know d dx(cos(ax))=-asin(ax)  and d dx(sin(ax))=acos(ax)

Q: Suppose f(x) = 4x + 1. Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

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Q: that the indicated family of functions is a solution of the given differential equation. Assume an…

A: The given differential equation is;  d2y/dx2 - 6dy/dx + 9y=0

Q: Evaluate the integral. 6 (x + 1)(x² + 16) 6 (x + 1)(x² +16) dx -dx=

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Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…

Q: 5. (6,0, 5) + (5,0,6)=

A: 5. Given that, (6 , 0 , 5) + (5, 0 , 6) To determine the sum.

Q: Taylor Power Series 5. Find the first 5 terms of the power series Σ (-1)^(n+1)(x-2)^ 222 'n=0

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Q: 2 Rewrite cosx - sin³x cosx using only one trig function. Be sure to simplify.

A: To rewrite the expression cos x - sin2x × cos x ,using only one trigonometric function, we can…

Q: Suppose 4²x = 12. Then x = A. In12 OB. (√12)³ 3 OC. 3 D. 109412 E. 09122 2

A: 1). logbxa=a·logbx  where x,b>0, b≠1 2). logbb=1

Q: 14x^2-13x-12 using box method

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x² In(ax)…

A: We have, ∫ xnlnax , where a ≠0 , n≠-1

Q: Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation…

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Q: a) A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite integrals.…

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub a drinking cup…

A: Let’s solve this problem using calculus. Let’s say the radius of the cup is r and the height is h.…

Q: Solving the equation C= Bat/D-K for t, using logarithms with base a, gives you t = 108a()+K A. Dloga…

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Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Present value formula is given as for continuously compounded PV = ∫0tk( t )e-rtdt Where  PV is the…

Q: Determine the derivative with respect to 'x' of: f(x) = Cos (sin x) - sin(cos.x)

A: We know that the derivative of sinx is cosx  And cosx is -sinx

Q: Find the maximum and minimum values of the function f(x, y) = xy subject to g(x, y) = x² + xy + y² =…

A: Objective function fx,y=xyConstraint function gx,y=x2+xy+y2-108

Q: 2x cos(x²) esin(x2-

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Q: y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a…

A: y=1x2+c is a one parameter family solution of differential equation:  y'+2xy2=0.Initial condition…

Q: y 10 7 -10 -5 5 10 (a) Identify the function. Orational O exponential O radical O quadratic O…

A: A graph of the function is given. We have to identify the type of the function and find its…

Q: an n In n en (domain n ≥ 1)

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Q: .1/3 Let ƒ(x) = x¹/³, and let T₁(x) be the nth Taylor polynomial of f centered at a =

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Q: The population of a city is modeled by the equation P(t) = 479,442e0.1t where t is measured in…

A: The population of a city is modeled  by the equation  P( t ) = 479442e0.1t Where t is measured in…

Q: ƒ(x) = x + 1 X

A: fx=x+1x

Q: [ f(x) dx 3 Given that 1 ≤ f(x) ≤ 4 for 3 ≤ x ≤ 7, estimate the value of ] ≤ [ f(x)da <

A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

Q: Use the chain rule to find dw dt dw dt W = In (√x² + y² + z²), x = 9 sin(t), y = 8 cos(t), z = 5…

A: W=lnx2+y2+z2 x=9 sin(t) y=8 cos(t) z=5 tan(t)

Q: Which of the following are separable differential equations? A. y = 2x - 3y +1 B.(4)=x+y □ C. 2xydx…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: Given: A solid is formed by revolving the region bounded on right by the graph of gy=7y and on the…

Q: Evaluate the definite integral. 7 7 4 X X-5 X X-5 dx = dx

A: To evaluate the following definite integral. ∫47xx-5 dx

Q: Evaluate the double integral ∬(x^4)dA, where D is the top half of the disc with center the origin…

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Q: Question 4 Given that v = (0, -2) and w=(5, -8), what is w - v? A B C D (-5, -6) (-5, 6) (5,6)…

A: v =&lt;0,-2&gt; w = &lt;5,-8&gt; We have to find w-v

Q: A separable differential equation is a first-order differential equation that can be algebraically…

A: Separable differential equation = ?

Q: etermine the moment of force F about point A. = 260 N swer: M₁ = (i 0.55 m 0.50 m i+i j+ i k) N-m

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Q: Use to verify that the indicated function is a solution of the given differential equation. Assume…

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Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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Q: Suppose you deposit $10,000 into a savings account that earns 3.5% interest compounded quarterly.…

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Q: Yes or No? If No, give a reason. Let f be a function. 8 and f(8) = 8? (a) Is it possible that f(7)…

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Q: The vectors and have lengths 2 and 1, respectively. The vectors a +56 and 2a - 3b are perpendicular.…

A: The vectors a→ and b→ have lengths 2 and 1 respectively.The vectorsa→+5b→ and 2a→-3b→ are…

Q: For the function f(x) = 5(2) - 7, state its domain, range, and asymptote and then graph the…

A: Given, the function…

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

A: z=x4+x2y, x=s+2t-u, y=stu2 given s=1, t=3, u=5

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: DEFFERENTIATE EACH OF THE FOLLOWING WITH RESPECT TO X AND FIND del or y'. do Ox-cosx² + y² + 3x5 =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. A 300 cm long feed trough, in the shape of an isosceles triangular prism, is to be made with…

A: Let base of isosceles triangle =2x cm As we know altitude is perpendicular bisector to base of…