Find the partial derivatives of the function 뚝뚝층 _w = V2 + 182 + 2t2

Q: Evaluate the integral 1 S 2 √xe - √x sec ²³ (5e √x + 1) dx.

A: I=∫1xe−xsec2⁡(5ex+1)dx

Q: Consider the series. -7/12 +49/144 - 343/1728 +2401/20736 + ... Determine whether the series…

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Q: Lets (t) = 51² - 24t be the position function of a particle moving along a coordinate line, where s…

A: Given,

Q: RELATED RATES: IN San Francisco, the price p (in dollars per pound) of lobster and the quantity…

A: The given demand function is,Where p is the price in dollars and x is the quantity in thousands of…

Q: g(b) Use the substitution formula [f(g(x))g'(x)dx= [ f(u)du where g(x) = u, to evaluate the…

A: By using substitution method, we will find the integration.

Q: 9. Find and simplify the difference quotient for a. g(x) = 2²/12 X b. f(x) = √x

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Q: x = 3 cost, y = 8 sint; 0st≤ Determine the rectangular equation of the curve. Choose the correct…

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Q: Find the absolute maximum and/or minimum points and values for r(x) = -5 on (3,7).

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Q: Please assist with the steps to solve the problem below.  It is known that the quantity demanded of…

A: It is known that the quantity demanded of a certain make of portable hair dryer is x hundred…

Q: f(x) = (x² - 4) (x² +9)

A: f(x)=(x2−4)(x2+9)

Q: Find the relative rate of change of f(x) at the indicated value of x. f(x) = 2x² - Inx; x=8 The…

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Q: Given: (x is number of items) Demand function: d(x) = 360 - 0.5x² Supply function: s(x) = 0.4x² Find…

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be…

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Q: 3) Find the quotient and remainders of: Divided by: 4x5 + x³ -2 a. x+2 b. x-3

A: Note:-Since you asked multiple questions, according to our polcy we can answer only first question…

Q: In Exercises below, express the given quantity in terms of sin x and cos x. 36. сos(π + x) 37. sin…

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Q: Find the value without finding the antiderivative. 5 [²√ 25 - X² dx

A: To find the value of the following integral without finding the antiderivative.

Q: Find the Left Riemann Sum and the Midpoint Riemann Sum for the function f(x) = x² - 2x on the…

A: The given function is .The aim is to find the left Riemann sum and the Midpoint Riemann sum for the…

Q: Graph the polynomial P(x) = x3 + x²-5x + 3 using calculus by showing the given steps: (d) Determine…

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Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: We have given thatsinθ = 3/5 and  lies in 2nd quadrant .

Q: Find the Laplace Transform of the following 1. L(2t - 1)³ 2. L{²-e³ +5} е 3. L(e²¹-e¹) ² 2tx

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Q: A particle is moving in straight line and the velocity at time t is given below: v(t) = 2-2t. Find…

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Q: 49. Sigma notation Evaluate the following expressions. 10 Σκ k k=1 6 b. Σ (2k + 1) k=1 4 a. C. k2…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 1. Find the magnitude of vector V = 2i -5j. 2 Find the nes and direction an

A: You have posted multiple questions in this question which are not interlinked so i have solved first…

Q: If y-<, which of the following could be a value of y? (A) -11 (B)-11 C) 12 11 D) E) 11 22 098.12

A: given inequality

Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function 5 F(x) = [²…

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Q: MARGINAL REVENUE: Gardenscapes finds that its monthly revenue, in dollars, from the sale of x carved…

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Q: Consider the given limits (a is a constant, f(x) > 0). lim f(x) = 0 lim g(x) = 0 I-a limp (x) = ∞…

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Q: Given that d(x) = x³ + x²-x-1, find the value of: i. d(-4) ii. d(2)

A: given function

Q: Finish solving the triangle: A ZA = ZB= ZC = 1. a a = C 7 b= 10 C = 9 Enter your answer as a decimal…

A: Consider the triangle

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to…

A: from the given statement

Q: If n is a prime number greater than 3, what is the remainder when n² is divided by 12?

A: The objective of this question is to find the remainder when the square of a prime number greater…

Q: y=x149+x2 Ау 35- 28- 21- 14- А X

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Q: Write a function f(x) that has the given characteristics. f(-6) = f(8) = 0; f'(1) = 0; f'(x) 0 for…

A: The given conditions are .The aim is to find the equation of the function .

Q: Use the limit definition to find the slope of the tangent line to the graph off at the given point.…

A: By using the limit definition to find the slope of the tangent line to the graph of  at the given…

Q: The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find the…

A: To find the solution of the following system.

Q: 6. ∞ Σ η=1 1 3η – 2n

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Q: b. C. 5x lim 2-1 x lim +0+z 1 In (x)

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Q: 7. Find the parametrized equation for the intersection line of the planes 2x+y-z=1 and 4x - y = 3.

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Q: Let f(x, y, z, w) = 7x³y¹00w5+ sin(w) + z cos(x - y). Find fxyyywxwzyxyxzw (0, 0, 0, 0).

A: f(x,y,z,w)=7x3 + sin(w) + z cos(x-y)

Q: Suppose that the total cost (in dollars) for a product is g C(x) = 1200+ 190 ln (3x + 1) where x is…

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Q: The surface of an island is defined by the following function over the region on which the function…

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Q: Suppose F(3) = 5, F(6)= −5, and F(x) -5, and F'(x) = f(x). f§ 4 ƒ ( x ) d x =

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Q: Find dx al dx y=3 log ₂x (Simplify your answer.)

A: Giveny = 3 loga x

Q: 15.Suppose a ball is thrown and the height of the ball is given by the function y(t) = -0.8t² + 50t…

A: Given that a ball is thrown and the height of the ball is given by the function, where t is the…

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then use the second…

A: To find all points (x, y) where f(x, y) has a possible relative maximum or minimum.Then, by using…

Q: set up double integral to find the area bounded by y=x^2 and y=2x

A: Given that the region bounded by the curves

Q: Find the present value of a continuous income stream F(t) = 30 + 6t, where t is in years and F is in…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Where should the point P be chosen on line segment AB so as to maximize the angle 8? (Assume a = 3…

A: The value of lengths a,b and c are

Q: (6) A piece of ice cut in the shape of a cube melts uniformly so that its volume decreases at 3…

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