llowing is true for the ser 8 Σ n=1 n 2n + 1 = others to 2 to 1/2

Q: Find the first three terms of the sequence using the explicit formula 3 × (10)(n -1). A.10, 30, 90…

A: topic - sequence and series

Q: Evaluate the integral ¹ f√x xdydx Select one: O -1/10 O None of those

A: ∫01∫0xxdydx=∫01xxdx=25

Q: An evergreen nursery usually sells a certain shrub after 5 years of growth and shaping. The growth…

A: Solution of given question is written in below steps.

Q: . The differential equation dy=2x(4-y) 1. produces a slope field with horizontal tangents at y = 4…

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Q: Find a linear equation that expresses the relationship between the temperature in degrees Celsius C…

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Q: A closed rectangular box with faces parallel to the coordinate planes has one bottom corner at the…

A: Let x , y, z donate  the length, width and the height of the rectangular box.  Volume of the box is…

Q: A town's population t years from now can be estimated from the formula P(t) = 8500+ 450t - 44√t.…

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Q: Simplify 8logg(64)

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Q: f(x) = 2 २२. find ƒ'(1).

A: Given  f(x)= 2/x2     now derivative of f(x) with respect to x is given by     f’(x) =. -4/x3

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

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Q: Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 3, 0sysin 9, 0≤z≤ In 27) with a…

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Q: Identify the vertical and horizontal asymptotes of f(x) = 2x+1 X-4 vertical: x = horizontal: y…

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Q: b. (1) (x) c. (fog)(x) d. (gof)(x)

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Q: Solve the given initial-value problem. dx dt dy = 25x - y dt x(1) = 0, y(1) = 1 x(t) = 0 = -11x - y…

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Q: Find the total mass of the wire with density p. r(t) = cos(t)i + sin(t)j, p(x, y) = x+y, Ostsn

A: Please see the below picture for detailed solution.

Q: A machinist is required to manufacture a circular metal disk with area 588 cm². Give your answers in…

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Q: Choose the gradient of the function : f(x, y) = ex² Select one: O None of these ○ (6ye+²+³y², 2xer²…

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Q: A mortgage for a condominium had a principal balance of $45,700 that had to be amortized over the…

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Q: sider the following f(x)=x²-₁ Determine whether f(x) approaches or as x approaches 1 from the left…

A: The solution is given below

Q: f SSR5e -27 sin(5x)y cos(2y) dxdy = f, 5e-2¹ sin(5x) dx f2, y cos(2y) dy where R = [-1, 1] x [1,2].…

A: This is a double integration problem

Q: Which of the following is the directional derivative of f(x, y) = 2xy² - x³y at the point (1, 1) in…

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Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

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Q: When demonstrating that lim suffices? 1 x-1 4x + 4 08= 0.0000025062656641604 OS=0.0000025 08=…

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Q: x³ + 8x² Consider the function f(x) = may be helpful to factor by grouping. 81x648 x + 8 O Answer…

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Q: Find the slope and y-Intercept (if possible) of the line. (If an answer is undefined, enter…

A: The given equation is 7x-8y=8 We have to find the slope and y-intercept of the given equation.

Q: L3Q6. If f(x) = 2x – 1 and g(x) = log x, compute (f – g) (x). A.2x – 1 + log x B.2x – 1 – log x

A: Given; f(x) = 2x – 1 and g(x) = log x

Q: Evaluate the integral 0 2 0 2-x xdydx.

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Q: Find y' and the slope of the tangent line to the graph of (3x - 4y)7 = 2y2-7 at the point (3,2).…

A: The slope of equation is defined in terms of m=dy/dx

Q: - Evaluate sin x dx using 3 i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

A: We have to evaluate ∫0π2sin x dx. Here a=0 and b=π2=1.570796 Given n=6 ∴ h = b-an = 1.570796-06 =…

Q: Which of the following is NOT a subspace of M22? O O W is the set of matrices of the form and z are…

A: Here is the answer:

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: Find the derivative of the function f(x) = (3x² – 2x³ O f'(x) = (12x³ - 6x²) ³/2 f'(x) = O 3 f'(x)=…

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Q: Solve the given initial-value problem. y(x) = y" - 81y = 9, y(0) = 1, y'(0) = 0

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Q: Which term in the expansion of 2x is a constant?

A: 12x3-x58

Q: Approximate the sum of the series to four decimal places. (-1)^-1 7 (2n-1)! Select the correct…

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Q: Find the derivative of the function f(x) = (3x4-22³ - 10) ³/2 ○ f'(x) = (12x³ – 6x²)° ƒ' (x) = -—-…

A: The given function is f(x)=(3x4-2x3-10)32 We have to find the derivative of the function

Q: A box with an open top is to be constructed from a 4m x 3m rectangular metal sheet, by cutting out a…

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Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm / minute. How fast is the…

A: Topic - Application of derivatives Volume of sphere=43πr3 where r is the radius of sphere

Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: Find the marginal average cost function if cost and revenue are given by C(x) = 190 +3.6x and R(x) =…

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Q: Miguel purchased a $9,000 bond that was paying a 4.25% compounded semi-annually coupon rate and had…

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Q: How many critical points the following function has, f(x, y) = 2x² - 2xy + y²? Select one: None of…

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Q: etermine whether the work done along the path C is positive, negative, or zero. O positive O…

A: To find the work done along the path c.

Q: Evaluate the line integral along the given path. ds [ (x² + x² +2²) 0₂ C: r(t) = sin(t)i + cos(t)j +…

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Q: The graph of which of the following rational functions has a hole (donut hole, a point of…

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Q: Which of the following is not an improper? A B D Sªcot (x) dx © Sese(x C E S'tan (2) de dx csc (x)…

A: We know that an integral is called improper if one or both of the limits of integration are infinity…

Q: Find the slope and y-Intercept (if possible) of the line. (If an answer is undefined, enter…

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 5 sin(t). The initial…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: The integral ſº, ſº₁ x – y dædy is equal to: Select one: 0 O2 O 4 O None of them O-2

A: