Write the sum in summation notation, using the given lower bound. b = 5 , A¡ = = 5 b 5 + 10 + 15 + 20 + 25 = Σαϊ i=1

Q: Determine the following indefinite integrals using the given substitution a. [x cos(32²) dx, u = 3x²…

A: We need to find the given integration (a) ∫ xcos3x2dx

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A: Given- f'''t=-9t-4t To Find- The value of f''t using an arbitrary constant C, the value of f't using…

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Q: 11. Find the differential equation of the family of lines passing through the origin 12. Solve the…

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Q: If   C(t)=71.4te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A: The concentration of drug in a person's system is given by the function:C(t)=71.4e-0.4t

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Q: Find the total differential of the function y = f(x,z(w)) · g(w,x).

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Q: (f) Use the Second Derivative Test to classify the critical point. (²) g "(critical point) = X .…

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Q: Find the point on the parabola shown below that is closest to the point (4, 0). V y=x²

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Q: Exact differential Equation    M(x,y)dx + N(x,y)dy =0 ∂M/∂y = ∂N/∂x   solve the following…

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Q: Calculating derivatives Find dy>dx for the following functions. (please show steps for each) 1 )=…

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

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Q: 2. The Laplace transform of ƒ is defined by f f(t)e-st dt. -6 F(s) = for Let f(t) = sint, find F(s).…

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Q: If y = 2x³ + 5x and dy = dt 5 dx dt dy dt = 4, find when x = 3.

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Q: 75 ft A pole stands 75 feet tall. An angle is formed when wires of various lengths of a feet are…

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Q: We want to construct a container in the shape of a cylinder. The container will have a bottom but no…

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Q: Sketch the region that corresponds to the given inequalities. 2x - y ≤ 9 x + 2y s7 -10 O -5 y 10 5 5…

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Q: Find the time needed in years to make $ 50,000 from $ 30,000 if the simple interest rate available…

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Q: Find the distance from the point Q = (-3, 4, 5) to the plane -5x - 5y - 3x = 9.

A: We will find the required.

Q: 52 16 59 12 20. If an = 4(3)″−¹, what is S3?

A: Given: an=43n-1

Q: Consider the function f(x) = 2x³-9x² slope of the function on this interval. By the Mean Value…

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Q: Two particles start at the origin on the s-axis at time t = 0 s and move along the s- axis. Their…

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Q: Suppose s(t) = 9 In(+1) is the position of an object measured in centimeters at t seconds. (a) Find…

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Q: How long will it take for an investment of $5,000 to grow to $25,000 if the investment earns…

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Q: A 17 foot ladder is leaning against a wall as shown. h ladder 0 (a) Express h in terms of 0. h(0) =…

A: Given that the length of the ladder is:  17 foot

Q: 2 Given Cost and Revenue functions C(q) =q³ - 8q² +55q+5000 and R(q) = -3q² +2400q, what costs…

A: Given: Cost function  C(q)=q3-8q2+55q+5000 Revenue function: R(q)=-3q2+2400q To find: The costs…

Q: Evaluate the following trigonometric integral. [sec¹ asinxdx

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Q: to find дz Әх дz ду . II = дz дх дz дх ƏF дх дF əz and and дz ду dz ду x2 + 8y2 + 7z2 = 1 - OF ду OF…

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Q: Evaluate the integral / f (y cos x + 4) dydx.

A: L=∫0π6∫05(ycosx+4)dydx

Q: Follow the steps below for the given function 6x + 5y = 3

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Q: Differentiate. Please use positive fractional exponents of lowest terms rather than decimals in your…

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Q: Find by implicit differentiation. dy dx dy dx 11 3x² + y² = 4

A: Please see the below picture for detailed solution.

Q: Choose each of the following parameterized lines that represent the same line as 7 = (3 − 3t) ▼ +…

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Q: (1,0)

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Q: 4 16 16-y -!!!- Here is the region of integration of the integral a. dy dz dx b. dy dx dz c. dx dy…

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Q: The graph off and a tangent line to the graph of f are shown below. Use the graph to answer the…

A: f’(2) = slop of tangent line at x=2 f’(x) = m = (y2 - y1)/(x2 - x1)

Q: Form a partial differential equation by eliminating the arbitrary functions from the relation z =…

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Q: Find the derivative of the following functions using the definition of the derivative 1. f(x)= 4x -…

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Q: n=4; -1,4, and 4+2i are zeros; (1)-78 f(x) - (Type an expression using x as the variable. Simplify…

A: Given: n=4-1,4, amd 4+2i are zerosf(1)=-78

Q: Find the derivative of the function. g'(t) = g(t) = (5t + 2)² (2t² - 8)-³

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Q: For any constant a, let g(x) = ax - (a) What is the x-intercept g(x)? X = (b) Find g '(x) = (c) For…

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Q: f(x)= 6(x+2)²(x-1)(x+3) 2(x+1)(x-2)(x+3)

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: Obtain the general solution of the following differential equations 6. xdy - ydx - √√x² - y² dx = 0…

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Q: Find the linearization L(x,y) of the function f(x,y)=²x cos (3y) at the points (0,0) and ¹ (0.7) The…

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Q: Outsourcing of Jobs The cumulative number of jobs outsourced overseas by U.S.-based multinational…

A: Given equation N( t ) = -0.05( t + 1.1 )2.2 + 0.7t + 0.9where N( t ) = cumulative number of jobs

Q: If   C(t)=50te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

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Q: 51. y = e-* cos x, [- , ] 3]

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Q: Which point on the curve y = √x - 4+9 is closest to the point (7, 9)? (x, y) = ( What is this…

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