Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1). Equation:

Q: PidliLS aiiu I 3. Calculate Duf (0, –2,5) in the direction of v = -3i + 12j – 4k for the function f…

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Q: Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of…

A: The given data is: Number of bunnies P=820 Growth rate r=20.75% How many months will it take for the…

Q: An airplane flies at an altitude of y = 2 miles toward a point directly over an observer (see…

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Q: 2x 14x + 20X Limits. Evalute lim X-5 rounded to 4 decimal places x2 - 6x + 5 O 0.1333 O 1 O 0.5 O 2…

A: We can find the limit as below.

Q: The diagram at the right represents the height of a blimp flying over a football stadium. Find the…

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Q: Jx + 2x f(x)=- 7х — 4х? 8.

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Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, 1. y = sin (x? + 3x +…

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Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = (x² -…

A: Equation of tangent line of a function f(x) at (a,b) is given by, y-b= f'(a)(x-a)

Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.

Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: P(x,y) = 696 – 10(x - - 15(y – 1)2 where P(x,y) is the price of land at the point (x,y) in dollars…

A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: The hypotenuse of a right triangle is 45 in. The sum of the lengths of the legs is 9 in. Find the…

A: The hypotenuse of a right triangle is 45 in.The sum of the lengths of the legs is 9 in.

Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

A: The objectives to find when the rocket is raising and when the rocket is descending.

Q: 5. S(-3 Vx- 6x Vx) dx

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Q: For the function f(r) = - 2x – 5x, f(r + h)- f(r) evaluate and simplify: h Find the value of the…

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Q: If f(x) = -2x^3 + 5x^2 - 3x - 3,  Find an expression for the second derivative f"(x).  f"(x) =

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Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

A: The objective is to determine when the rocket is rising and when it is descending.

Q: The table shows the marginal cost for a company's product at various production levels. Marginal…

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Q: Find an equation for the ellipse. Graph the equation. foci at (0, + - 1); length of major axis is 18…

A: We have to find the equation of an ellipse

Q: Question Given the function of f(x) = -4x2 - 5x + 1 on the interval [-5, -2), find a point c between…

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Q: You are given a sphere of radius 2. A hole of radius b (b < 2) is drilled through the center of the…

A: Follow the procedure given below.

Q: For the function f(x, y) = 2x² – 3xy + 8y² + 2x – 4y + 4, find a tangent vector to the level curve…

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Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = -9 plane,…

A: Let's find.

Q: Find the area between the graph of f (x) = 10 – x² and the x-axis over the interval [-3,3]. area =…

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Q: An object moves in a straight light according to the position function s(t) = 2tet where s is in…

A: Explanation of the answer is as follows

Q: 1. Find the average value of f(x) = on [0, 1].

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan A: f(t)=3090000e0.02t⇒f(5)=3090000e0.02×5⇒f(5)≈$3,414,978

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: r(t) = cos(Tt)i– In(t)j+ vt – 6k; to =7 |

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Q: 9t + 8 dt t

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Q: Let <0,4,27 < 3, 0 , 1) What is the having the same direction B- ZA + c ? unit vector as

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Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

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Q: dy Find dx for y=xJ csct dt. | dt +|(Type expressions using t and x as the variables.)

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Q: What is the value of the definite integral 61 +2 dt?

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Q: Find f (x) if f'(x) = and f(1) = 25. O f(x)= 16x + 25 O f(x) = 16x +1 O f(x) = 16xl +9 O f(x) = 16x…

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Q: Below is the graph of a piecewise function f(x). y 2 1 X -6 -5 4 -3 -2 -1 -1 2 3 4 5 6 1 -2 -3 y =…

A: According to guidelines, answers for first three subparts are provided. Please repost the remaining.…

Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A: The objective is to evaluate the limit.

Q: Calculate div(F) and curl(F). F = (y, 8z, x) (Give an exact answer. Use symbolic notation and…

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Q: Find the general solution of the given linear differential equation. y'''' − 2y''' + 5y'' = 0

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Q: Ise implicit differentiation to find the specified derivative at the given point. ind dy at the…

A: Given query is to find the derivative of the expression.

Q: Suppose a person travels at a rate of 4 ft/hr toward the foot of a street lamp pole 51 ft high. The…

A: Solution: Let  H denotes the head of the person and P denote the top of the pole.  At any instant…

Q: Let f(r) = v5x +2. Using the definition of derivative at a point, %3| a. enter the expression needed…

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Q: 4y² – 2² = 1

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Q: Sales. Suppose a tricycle company projects sales to increase with the function f(x) = 4(x + 4)2…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

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Q: Find the length of arc of the given curve. 5. R= (sin 2t , cos 2t , 2t³/2), 0 sts1.

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Q: Find the point that is 2/5 of the distance from C to D.

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Q: 1 Use SUBSTITUTION to evaluate the definite integral to three decimal places. xp- 2x +4

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Q: Given the pair of price-demand and price-supply equations below, calculate each of thne following:…

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