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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: (a) Evaluate the integral: S = 16 x² + 4 dx Your answer should be in the form k, where k is an…

A: Since you have posted multiple questions we will provide the solution only to the first question as…

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: y=3in (2+x²)

A: y=3ln⁡(x2+2)dydx=ddx{3ln⁡(x2+2)}ddxln⁡x=1xChain Ruleddxf(g(x))=f′(g(x))g′(x)dydx=3x2+2ddx(x2+2)

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

A: Length of box=x feetWidth of the box=x feetHeight of the box=y feet The figure

Q: Find the maximum value of the function z = 5x + 7y subject to the following constraints. x+8y≤48…

A: The given objective function Subject to

Q: Find the equation of the tangent to the curve cos²x - sin²x y = at the point where x = I |4

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Q: f, o x sin(x − y) dxdy = Jo J, x? sin(x − y)dydx

A: ∫−12∫06x2sin⁡(x−y)dxdy=∫06∫−12x2sin⁡(x−y)dydx

Q: Find the future value P of the amount Po= $200,000 invested for time period t = 9 years at interest…

A: To find the future value P of the amount invested for time period years at interest rate…

Q: PLEASE PLEASE HELP ME WITH THIS QUESTION, The x y-coordinate plane is given. The curve starts at the…

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Q: mate the average arterial blood pressure over one cardiac cyc

A: We have to find the average blood pressure.

Q: The figure below shows human arterial blood pressure during the course of one heartbeat. arterial…

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Q: Find T5 (2): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = Using the…

A: We have to find the Taylor polynomial of cosx of degree 5. Then using the Taylor Remainder Theorem,…

Q: 3. Sketch these functions and find their domain and range. a) f(x) = √√3x b) y = x³

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Q: use € Calcus implicit different to find sy ldx Q32 y cos (ty) = 2x + 2y

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Q: Each of the regions A, B, and C bounded by the graph off and the x-axis has area 3. Find the value…

A: Each of the regions A, B, and C bounded by the graph of and the x-axis has area 3.To find the value…

Q: Compute the matrix exponential eAt for the system x' = Ax given below. x₁ = 16x₁ - 16x2, x 2 =12x₁ -…

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Q: f(x) = 2x + 4 sin(x), 0≤ x ≤ 2π

A: The given function is

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: The area of a circle increases at a rate of 4 cm^2/s.   Part A How fast is the radius changing when…

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Q: Find all solutions of the equation. +√√2=0 6) 2 cos x + 1

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Q: Solve the following integration :- 6 dx | (X-4)(+7)

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Q: The estimated change in area is m² (Type an exact answer, using as needed.) The estimated change in…

A: The radius of a circle is increasing from 9.00 to 9.09  mdr=9.09−9.00dr=0.09 mr=9 m

Q: integral, state the number the integration for tegral. (Do not evaluate the integral.) 1 x²(9x - 8)…

A: Given: To find: evaluate the integral.

Q: An aluminum can is to be constructed to contain 2600 cm³ of liquid. Let r and h be the radius of the…

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Q: Solve a Consumers' or Producers' Surplus Problem. A sports watch has a price-demand equation given…

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Q: ["h h(x) dx such that A expresses the area of the region between the functions y = el.5, y =e-1 and…

A: To write an integral in the form  such that A expresses the area of the region between the functions…

Q: dy Find and dx d²y dx² x = e¹, y = te-t dy dx d²y dx² For which values of t is the curve concave…

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Q: Use a half-angle formula to find the exact value of tan 112.5°. tan 112.5° = √2 21 2 16 X 5

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Q: A table of values of an increasing function fis shown. Use the table to find lower and upper…

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Q: dy dx general Solution of :- 3+2 tan x e Sec X

A: dy/dx = e3+2tanxx

Q: Let z = 5 e5π i/4 Write z, z4, z⁹ and 2-2 in the form a + bi. z = 5 cos (5.) +/-5 sin(5.4) 4 Z4 z⁹…

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Q: Using double integrals, find the area of the region bounded by the curves x = y² = 1 and y = 2x…

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Q: 2 f (sin-¹1) ² dn

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Q: dx Assume that x = x(t) and y = y(t). Let y = x + 2 and dt dy Find when x = 3. dt dy dt (Simplify…

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Q: Given F = xi + yj + 2z k and assume that N is the outward directed normal field to the surface S…

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Q: Reverse the order of integration and then evaluate [ [ 5y dy dx.

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Q: * Find the general Solution of :- - dy dx = 3 Sec X

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Q: -2x-8 ·(x-1) ³.) 4x+26 f"(x) = (x-1)² fars= 2x+3 (x-1)²) f'ox) = or a) Find the intervals on which…

A: The given function is The first derivative of the function is The second derivative of the function…

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: Consider a system of 3 equations with 3 unknowns. If the augmented matrix has been correctly reduced…

A: Here we have to general results for finding the solution

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Suppose f(0) = 4, f'(0) = 2, f''(0) = 2, and f(3) (0) = 6. Find the third-order Taylor polynomial…

A: The nth degree Taylor Polynomial of a function f(x) centered at the point x=0 is given by

Q: 5 Find f such that f'(x) = - √x f(16) = 49.

A: f′(x)=5x,f(16)=49

Q: Solve the given differential equation. 3x²y" +6xy' + y = 0

A: To solve the following differential equation.

Q: Find the degree 3 Taylor polynomial T3(x) of function at a 4. T3(x) = f(x) = (3x + 69)5/4

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Q: 8. ( Determine whether the following two planes are intersect or not. If they intersect, find the…

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Q: Find the area between the curves f(x) = 3x² + 12x − 15 (in dark blue) and g(x) = -x² - 4x + 5 (in…

A: We need to find area between the enclosed curves.The formula we will use is given by -

Q: d'y Solve the following differential equation by Laplace transform metho dy +4 dt + 3y = e, given…

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Q: * Lind the general Solution of - dy dr K X = xe

A: dy/dx = xex