Find an equation of the tangent line at each given point on the cu x = 2²2²-4₁ y = t²2 - 2t at (0, 0) at (-3,-1) at (-3, 3) X X X

Q: (A) Find the parametric equations for the line through the point P = (-4, -2, 0) that is…

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Q: The diameter of each wheel of a bicycle is 26 inches.

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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: [e-32-2³ d. z. Write your resul in the form- Carry out the following integration: ea -3-322+c. What…

A: To find the value of alpha.

Q: this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

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Q: Question 7 Evaluate the expression using the values given in the table. (gof)(1) 149 12 f(x) -193 x…

A: Solution, We have to calculate (g∘f)(1)

Q: 3. Write the quadratic polynomial x² - 6x +1 in standard form CAKA vertex form)

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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: Find the tangential and normal components of acceleration for F(t) = (5 cos(t), 7t², 5 sin(t)).…

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Q: A volume is described as follows: 1. the base is the region bounded by y = −x² + 2x + 131 and y = x²…

A: Solution:- y=-x2+2x+131y=x2-24x+155 Area of semicircle = πr22 =π2-x2+2x+131-x2-24x+1552=π222…

Q: If w is an eigenvector of A, how does the vector Au compare geometrically to the vector ? O A is a…

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Q: Determine the most possible complex zeros of the following function: f(x) = 3x¹ + 6x¹4 - 7x¹5 + 13x…

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Q: 5. The function f(x,y) = 2x³ + 3x² + y² — 6y has: A. a local maximum at (0,3) B. a local minimum at…

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below.…

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Q: 12. Sketch the solid consisting of all points (p, 0, ) such that 0≤0</2, 0≤ ≤ 5/6 and 0≤p≤2 cos p.

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Q: A 63-year-old couple is considering opening a business of their own. They will either purchase an…

A: The Gift Shoppe has a continuous income stream with an annual rate of flow at time t given…

Q: 2. Find the quotient and the remainder of x4 +8x³ + 6x +5 divided by x²+x+1. D

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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) 3 log(7x) = 2…

A: 3-log(7-x)=2

Q: t S 0 √5+t 2 - dt

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

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Q: Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your…

A: To solve the following problem and find the roots using Newton Raphaon method

Q: This question must be completed. Please make sure you complete all parts and then sketch the graph…

A: fx=lnx-2

Q: 4) Find the sum of the distances around all of the loops of r = 16sin(800).

A: r = 16sin(80 thita)  sum of distance

Q: Solve for x: log₂(log₂ x) = 4 X =

A: Given : log2(log2 x) = 4 To find : value of x

Q: Find the exact solution of the exponential equation. 78t = 39 || || X

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Q: Find the slope of the tangent line to the curve 1 3 + x Y - 1 at the point (1, - 2).

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Q: ||= 3, |v|= 4, and the angle between and (when placed tail-to-tail) is 90°. Find | + v| O A) 7 B) 12…

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Q: The stopping distance d (in feet) for a car traveling v mph when the driver has a reaction time of t…

A: The stopping distance d (in feet) for a car traveling v mph when the driver has a reaction time of t…

Q: Find the domain of the function. f(x) = log₁0 10 (x+9)(x-2) x-3

A: f(x)=log10(x+9)(x-2)(x-3)

Q: •]] (x S: z = 3x, 0≤x≤ 3, 0 ≤ y ≤ 2 Evaluate (x-2y+z) ds.

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Q: way that their intersection is a circle of radius r. and r so that the volume inside the small…

A: Subtract the volume of the cap of the bigger sphere from the volume of the small sphere's hemisphere…

Q: 2. a. 12 f_(Inx) ¹² dx Find each indefinite integral. 2 b. sec²0 tane de

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Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 -0.01x + 0.000006x² (in…

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Q: 1. The quadrilateral ABCD is shown to the right. Suppose u = DC and = AD. Further suppose that BC =…

A: Given: Quadrilateral ABCD in which u→=DC→, v→=AD→ and 3v→=BC→ We are required to find: a.…

Q: 6. 15 10 -5 -10- and x = 4. y 2 Find the area of the region bounded by the curves y = x² + 8, y =…

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Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

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Q: Given f(x, y) = fz(3, 2) = fy(3, 2) = - 4x³ + 3xy¹ — 5y³, find the following numerical values:

A: given,  f(x,y)=-4x5+3xy4-5y3we know,  ∂ ∂x(xn)=nxn-1  and  ∂ ∂x(constant)=0

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

A: x=4y2,x=4+3y2

Q: 39. a₂ = 7; a4 = 1575 a2

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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: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Which of the following functions could make the graph of: 2

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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log₂ (x² - 4x…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x³ -…

A: Consider

Q: f(x) and g(x) are continuous functions. Find the derivative of each function below then use the…

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Q: Find the average value gave of the function g on the given interval. g(x)-2x. [1, 125]

A: To find the average value gave of the function g on the given interval. gx=2x3, 1, 125

Q: If the total cost function for producing x lamps is C(x) = 720 + 37x + 0.8x2 dollars, producing how…

A: If the total cost function for producing x lamps is C(x) = 720 + 37x + 0.8x2 dollars, producing how…

Q: The size of an exponentially growing bacteria colony doubles in 9 hours. How long will it take for…

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Q: PROBLEM NUMBER 3 Determine the area to the left of g (y) = 3 - y² and to the right of x = -1. x=-1…

A: Note: According to our guidelines, we can answer only the first question or the first three subparts…

Q: 3Z 37 1) For F (X₁7, ²) = (y², ²xy +6³²₁ 34 ²²² > Find ㄱㄱ ㄷ Pilk a potential function of (xiy, ²) if…

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