20. Σ - (2x – 1)" 5" π

Q: Total revenue is in dollars and x is the number of units. Suppose that in a monopoly market, the…

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Q: Please show your answer to 4 decimal places. Find the maximum rate of change of the function f(x, y)…

A: Given that f(x, y) = 4y4/x and we find maximum rate of change at point (4,3).

Q: Find the spherical coordinates of  (square root 3, 1, 5)

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Q: Evaluate the integral. 7 S √x (9+7√x)³ dx

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Q: Let g ( x ) = x h ( x ) = g ( x − 2) . (a) (b) (c) (d) 3 + 6 x 2 − 2 x − 15 and h( x ) = x 3 − 14 x…

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Q: If [off $$$FO √3 f(x) dx = 9.2 and f(x) dx = 3.8, find 3 [₁ f(x) dx.

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Q: The format of the answer should be km/min. Can you help with the unit also? Thank you

A: The solution is shown in step-2

Q: i) Evaluate the line integral √ (2² + y² +2²)ds where C' is a curve parametrized as x = t, y =cos…

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Q: Find the limit. lim (ti - 7 j + t² k) t→4 lim (ti - 7j+t² k) = i 1-4 i+ i j+ i k

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Q: The fox population in a certain region has a continuous growth rate of 8 percent per year. It is…

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Q: Find the vertices and foci of the hyperbola. 9x² - y² - 54x - 4y + 68 = 0 vertices smaller x-value…

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Q: Let N= {(x, y) = R² | 4x² + y² ≥ 1}. Consider the following optimization problem for the function…

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Q: The revenue function for a sound system is R(x) = 300x - x² dollars where x denotes the number of…

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Q: Use the parallelogram method to find the following sum v + w when v = (-1, 5) and w = = (6,-3). Use…

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Q: 6. I ff(2y+1) dady D is the domain bounded by x+y-2 = 0,x+√4-y = 0, y =0 = D

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Q: Suppose the average costs of a mining operation depend on the number of machines used, and average…

A: As per our guidelines we are allowed to answer only three subparts of the given problem. Kindly…

Q: $4000 are invested in a bank account at an interest rate of 8 percent per year. Find the amount in…

A: invested amount=4000interest rate=8%=0.08t=11 years

Q: Find the limit. Use l'Hôpital's Rule if appropriate. To enter oo, type infinity with a lower case i.…

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Q: Find the derivative of: -7√x- 6 x7 Type your answer without fractional or negative er

A: The given equation

Q: b. Use the Fundamental Theorem of Calculus to find F'(x). -2x F(x) = √2²* (9t²) (3t³ — 2)dt 0

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Q: Find the point on the line -3x + 3y + 1 = 0 which is closest to the point (−1, 3).

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Q: The local maximum of the graph below on the interval [-1,2] happens at the point where x = -1: PA -3…

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i +4sin(t)j; t= T() 3 N = = 1|3

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Q: Show that the series Σ=1 (-)" is convergent. How many terms of this series do we need to find the…

A: We have to show if the series converges and find the minimum number of terms required for the sum…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: We can solve the given problem by using the concept of derivatives.

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: When partial deriving a function f(x,y) with respect to x We treat y as constant and vice versa.The…

Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

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Q: Find the foci of the following hyperbola: + 1)²_ @x_1² = 1 (v (x-1)² 25 O (-1+√34,-1); (-1 – √34,…

A: The given equation is; (y+1)2/9 - (x-1) 2/25 =1Find foci.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 11, (4, 4, 3)…

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Q: Find the length of the following parametric curve: t² Length = { } wwwww 3 (2t + 1) ² for 0 ≤ t ≤ 4

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an £. 15" n…

A: Using ratio test, we can determine the convergence of given series.

Q: Evaluate the definite integral. [² (¹³¹1+ e¹1 ¹31 i+e¹¹j+ tk dt O e¹3 - 1 13 O e13 O O e13 13 O e13…

A: The given integral

Q: x²-4 x-2 x²-3x+2 1. lim (Ans. 4)

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Q: Find r'(t), r(t), and r'(t) for the given value of to. Then sketch the space curve represented by…

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Q: Find the limit. lim (ti - 7j + t² k) 1-4

A: find the given limit

Q: (a) Approximate the area (in square units) under the curve f(x) = x² from 0 to 2 using 10 left…

A: In this question , we will appropriate the area under the given curve .

Q: If f(x)= 85°F Mostly sunny O O 3 O [x−2x5 tx=5 the limit does not exist 5 LO O 1 , then f() is Q…

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Q: Find the directional derivative of f(x, y, z) = xy + z³ at the point P = (6, -3, -1) in the…

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Q: Explain why lim (2x-3) = 3 with an ε = 0.01 is not a limit.

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Q: The air in a room with volume 180 m³ contains 0.2% carbon dioxide initially. Fresher air with only…

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Q: Identify the following conic section and put it into standard form. Then, find all important parts…

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Q: Consider the demand function d(x) and demand level x. d(x) = 1,975 - 0.029x², x = 210 Find the…

A: Given

Q: 10-Determine the intervals of increase and decrease for the function f(x) = 2 cosx + (3)1/3 x on the…

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Q: mexists for every c X-X O True O False

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Let.-x³ + 3y³ + 3z3 - 2xyz + 144 = 0. - дz Use partial derivatives to calculate and at the point…

A: Given that Now we use partial derivatives to evaluate the required partial derivatives  at the…

Q: Find the derivative of: (7 - 4x)². [Hint: expand first.] Now, find the equation of the tangent line…

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Q: Please show your answers to at least 4 decimal places. Find the directional derivative of the…

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Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

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Q: Use l'Hôpital's Rule to evaluate the limit. x² - 8x+15 x-3 lim x-3 OA. 6- OB. 14 OC. -2 OD. -5

A: Limx-3(x2-8x+15)/(x-3) Find the limit.