Change the point (4, -pi/4, 2) to rectangular coordinates

Q: 8. At each point (x, y) of a certain curve the slope is curve. 2log x y If the graph contains the…

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Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1200x dollars and…

A: To find out the number of units that will produce the maximum profit and also the maximum profit.

Q: If d²₂ y dx2 y(1) = 2x , then a general solution is y(x) = x³+Cx+D. Find the value of the constant D…

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Q: The rectangular coordinates of a point are given. Plot the point. (Select the correct graph.) (-12,…

A: This can be plot as below :

Q: and x = 4. y 15 10 -10 2 2 Find the area of the region bounded by the curves y = x² + 8, y = x², x =…

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Q: 64x+530 The average cost function for a particular business that sells toys is represented by A(x) =…

A: The average cost is, Ax=64x+530x where A is represented in dollars and x in the number of toys…

Q: ● 2 e dx x (In x)² S. e

A: Consider,

Q: A company that services a number of vending machines considers its income as a continuous stream…

A: A company that services a number of vending machines considers its income as a continuous stream…

Q: Give a vector parametric equation for the line through the point (2, -1, 0) that is parallel to the…

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Q: 4. If f is a differentiable linear approximation A. 5.5 B. 5.7 C. 5.9 D. 6.3 E. 6.5 function with…

A: f(4,1)=6, fx(4,1)=-2, fy(4,1)=1

Q: Solve for n. n-2P2=30 OA.n=8 OB. n = 5 OC.n=7 OD.n=6

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Q: i. ii. the length of the perimeter of the site. the total area of the site to be developed. 29.5m…

A: SOLUTION:-   Given that we have surveyed one of the buildings sites which your company is to…

Q: If the total cost function for a product is C(x) = 810 + 0.1x2 dollars, producing how many units,…

A: To find out the number of units that should be produced in order to minmum average cost per unit.

Q: Convert the polar equation to rectangular form and sketch its graph. r= 7 cot(0) csc (0)

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Q: Find the work done by the force field F in moving an object from P(-7, 5) to Q(1, 5). F(x, y) y

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Q: Write as the sum and/or difference of logarithms. Express powers as factors. Find logs if logs11 = a…

A: logcab=logca-logcb

Q: Given f(x, y) = 2x4 - 3xy³ - y, find fz(x, y) = fy(x, y) =

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Q: Find the Area of the following region: The region inside the rose r=4sin(2*theta) and inside the…

A: Find the Area of the following region:The region inside the rose r=4sin(2*theta) and inside the…

Q: 2. (a) Use a computer algebra system to evaluate the following integrals. (i) f sin x cos 2x dx (ii)…

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Q: Tmin = 0 Tmax=2 XT = -1 + YT = 0 T 2 8+ 7 6- 5- 4- 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5- -6…

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Q: Let F(x) = {} (x+1)³ +3 x < −1 tan (x + 1) −1≤ x Then lim F(x)= x→-1

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Q: Find a vector function that represents the curve of intersection of the paraboloid z = 6x² + 5y² and…

A: Find  a vector function that represents the curve of intersection of the paraboloid z= 6x2+5y2 and…

Q: Using n = 6 approximate the value of °¹ S² = (a) the Midpoint Rule, (b) the Trapezoid Rule, and (c)…

A: Evaluate the integral ∫171x3+1dx a) Midpoint rule b) Trapezoid rule  c) Simpson's rule

Q: If f(g(x))=sqrt(8x+9), find the functions f(x) and g(x). Note: there may be more than one solution,…

A: We need to find out the functions f(x) and g(x).

Q: Find all the possible rational zeros of the following polynomial: f(x) = 5x + 8x²-3x+2

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Q: Consider the following vector field F(x, y) = M₁ + Nj. F(x, y) = yi+xj (a) Show that F is…

A: The solution is shown in step-2

Q: Graph Determine its area by i

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Q: c. Repeat part a with h = 0.025. Compare the results with those found in a and b. d. Find the…

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Q: 1. Ivy drew a diagram (see below) to solve the following problem but she thinks she got the wrong…

A: Given that the ball is dropped from a height of 6 feet and each time the ball hits the ground, it…

Q: 8. Solve for x in: :log (x² + x - 1) = log (x)

A: given,  logx2+x-1=logx

Q: nt Use the model A=Pe¹ or A=P per year for t years. =P ( 1 + ²) ² n , where A is the future value of…

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Q: 56. Reunte each expression as a Answer: single loganthm: 31n (x) + In (y-1)

A: let  H=3lnx+lny-1

Q: Find the area between the curves. x = -2, x=2, y = 4x, y=x²-5 The area between the curves is…

A: Given

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x) = 2…

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Q: Consider the vector field F = (x³y¹, x¹y³). O The vector field is not conservative O The vector…

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Q: Find a function of the form y= A sin(kz) + C or y= Acos(kz) +C whose graph matches this one- m 44…

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Q: Find the area between the curves. x= − 3, x= 3, y=2e²x, y=e²x +1 The area between the curves is…

A: The equation of the curves are C1: y=2e2xC2: y=e2x+1C3: x=-3C4: x=3 To evaluate: The area between…

Q: Solve for x using logarithms. Give an exact answer. Do not give a decimal approximation. 41 =…

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Q: Let f(0) = 2 cose for 0 ≤ 0 ≤ 2πt. Part A: At what value of 0 does f(0) reach a maximum? Part B:…

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Q: Let p and q represent the following statements. p: 7+4=10 q: 4×10=40 Determine the truth value for…

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Q: 20. y = sin³ (8x³ + 3)5 cos⁹ (5x³ +9)

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Q: Find the solution of the following initial value problem. 1 1 3 3 v'(x) = 8x + 8x ; v(8) = 25, x > 0…

A: Find the solution of the following initial value problem.  v'(x)= 8x13+8x-13; v(8)= 25, x&gt;0

Q: 2. î and ĵ are unit vectors. An angle of 120° exists between vectors ū and where u = 5î and = 2ĵ.…

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Q: 1 (a)_(i) Use Trapezoidal Approximation to estimate e dx with a maxi- mum error of 10-³. (ii) Find…

A: We need to solve integral problem with maximum error 10-3.

Q: A canoe is seen floating down a stream. The canoe is first spotted 90 feet away. A few moments later…

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Q: At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg,…

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Q: find the unit tangent vector N(t) to the curve r(t)= when t=0

A: rt=sint,t,cost

Q: Find f'exo if fex)= Find f'ex) if fcx)= (5x² + 1) cos(2x) 100 sec² (2x + 5) (x + 2)¹ 3

A: fx=5x2+1cos2x3sec22x+5x+2100

Q: E) If F(x, y, z) = 3x²i + 3zj-3xk

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Q: A window is composed of a semicircle placed on top of a rectangle. If you have 28 ft of window…

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