Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Perpendicular to n = -5i + 4k Point (0, 2, 0)

Q: Assume that it costs a company approximately C(x) = 800,000 + 360x + 0.0005x2 dollars to manufacture…

A: Given Cost function:- Cx=800,000+360x+0.0005x2

Q: Find exactly the vector oppositely directed to v = (3) and half the length of v.

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Q: The unit cost, in dollars, to produce bins of cat food is $9 and the fixed cost is $14040. The…

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Q: Consider the equation z*=x+y, where x,y and z are all functions of r. Which of the following is the…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given two points ( 3 , 2 , 1 ) & ( 3 , 1 , -7 )

Q: Write out the form of the partial fraction decomposition of the function: - Sº A Determine the…

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Q: Approximate the area under the curve graphed below from x = 1 to x = 6 using a Left Endpoint…

A: Area approximately = 9.2 square units  For detail...go through the solution

Q: Find the solution to x'=y y'=4x+3y if x(0)=0 and y(0)=2 x(t)=? y(t)=?

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Q: Make sure to make a sign chart to solve

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 10. What are the absolute minimum of f(x) = 3x³ — x − 1 over [−1, 1] -3 (at x = −1) 01 (at x = = 1)…

A: We need to find the absolute minimum of f(x)=3x3-x-1 over [-1,1]

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: A utility company burns coal to generate electricity. The cost, C(p), (in dollars) of removing p…

A: Answer is in step2.

Q: It takes a month for a horse, two months for a goat and three months for a sheep to eat a cart of…

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Q: 4. The chipmunk population in a region was 280 chipmunks in 2010. By 2015, the population increased…

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Q: an- If the nth partial sum of a series an is sn = 7 - n5-, find an and Σ n = 1 n = 1 n = 1 a1 an = =…

A: If the nth partial sum of a series ∑n=1∞ an is sn=7-n·5-n, then to find a1, an and ∑n=1∞ an.

Q: F) y= 4x³ In(8x)

A: y=4x3ln8xd dx(xn)=nxn-1d dx(lnx)=1xd dx(ab)=b×dadx-a×db dxb2

Q: For what value(s) of x does the graph of have a horizontal tangent? x = help (numbers) f(x) = 10x³…

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Q: Define the inverse secant function by restricting the domain of the secant function to the intervals…

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Q: Problem 3. Find the domain of f(x,y)=√√4-r²-y²+ln (r³y). Then graph this domain.

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Q: All Sections 1) Solve the following equations for t Jy evt = 2) Find the derivative of y with…

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Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given…

A: Solution: Given:C(x)=2000ln3x2-5003

Q: Find the volume of the region bounded above by the paraboloid z and below by the square R-4≤x≤4…

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Q: A class of fourth graders walks to a park on a field trip. The function y = f(t) graphed below gives…

A: The graph of function y=ft is given as ,

Q: Revenue The following spreadsheet gives annual production costs and profits at Gauss-Jordan…

A: To find the revenue in each sector in each year.

Q: Assume y = f(x) is defined everywhere. Suppose the point (12, -3) is on the graph of y = f(x). Use…

A: For an even function:f(-x)=f(x)   For an odd function:f(-x)=-f(x)

Q: I. INTEGRATING FACTORS BY FORMULA 2 1/2 x 2x/x-2

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Q: The height y (in feet) of a ball thrown by a child is 1 2 -x² + 6x +3 y = 12 where is the horizontal…

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Q: Please show your work (i.e., provide an explanation of your final solution) to receive credit. If…

A: B=d dx(f(x)xg(x))d dx(xn)=nxn-1d dx(a.b)=a×dbdx+b×dadxd dx(ab)=b×d dx(a)-a×d dx(b)b2

Q: f sin³x dx

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Q: The percentage of deaths caused by smoking related heart disease is represented by the function 65(x…

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Q: The graph below is generated from the function h (z) -7 -6 -5 Find a, b, and c. a= [Select] b=…

A: The graph below is generated from the function hx=x-5x-ax+bx-c. To find a, b, and c.

Q: 14. Solve the initial value problem du = ² + 1 with y(0) dy = 1. dt Oy(t) = Oy(t) = t³+t-1 Oy(t) =…

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Q: 4. (a) Show that the function f(x) = Σ Σ (b) Show that f(x) = e*. m! is a solution of the…

A: (a) The given data is: Show that the function fx=∑n=0∞xnn!  is a solution of differential equation…

Q: Find the volume of the region bounded above by the surface z = 2 cos x cos y and below by the…

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Q: Find the derivative of the function. y = 5 sin(2πX) y'(x) =

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Q: 3 3 Find ΣΣ2-j3 i=0 j=1 Ο – 99 O-102 Ο 102 Ο 193

A: solve the problem by finding the value of the expression.

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

A: Here is the solution:

Q: S 3x - 2 x² r2 – 5r+6 dx

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Q: 2r cos 0 Replace the polar equation r= (csc 0)3e2rc with an equivalent Cartesian equation. T

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Q: 37. lim x-0+ 39) lim log₂ x log₂ 3x In(x - 2) 2 x→2+ ln(x² - 4)

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Q: In order to approximate the area under f(x) = e²² from x = 5 to x = 22 using 20 rectangles and the…

A: We need to approximate the area under f(x)=e-x2 from x=5 to x=22. So, here, a=5 and b=22.

Q: 4. In order to receive full credit you must show all of the steps you took to arrive at your answer.…

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Q: Consider the function f(x) = = 1 X a. Find the Taylor series for f(x) centered at c = 7. ∞ f(x) = Σ…

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Q: 2√/2x-x2 1. f S 5√x² + y²dydx

A: We have to evaluate the given integrals.   According to our guidelines we can solve only one…

Q: 8. A bead slides down the curve xy 10. Find the bead's horizontal velocity at time t = 2 s if the…

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Q: For the given function, compute the missing values in the following table. f(x) = 2−x x −3 −2…

A: We have given f(x) = 2-x

Q: (a) Solution: Try u = x + y. Then This is separable Thence 1 du dx u² = x² + C 1+ dy dx dy dx = =…

A: Student is not able to understand few steps in the solution so I just have to add these steps.

Q: Consider the function f(x) = 12x5 + 60x¹ - 100x³ +2. f(x) has inflection points at (reading from…

A: function

Q: 15. Evaluate the integral ³₂|x|dx -2 02 012303 012/20 ONone of above 22

A: To calculate the integral ∫-23xdx. As we know from the Power Rule: ∫xndx=xn+1n+1+C   Use the…

Q: Suppose that f(x) and g(x) are given by the power series and CO g(x) = 16+ 40x+37x² + 48x³+. By…

A: The given data is: fx=4+7x+2x2+3x3+.....gx=16+40x+37x2+48x3+....