Antiderivatives resulting in inverse trigonometric function secx tanx -dx J 9+ 4sec²x

Q: x dx-x cos? x dx + (sin x tanx sin y ) dy = 0. %3D

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Q: j. For any 3 x 3 linear system AX = 0 if det A #0 Then Select one: the linear system is inconsistent…

A: Choose the correct option..

Q: Let A = For which values of a and b will A have the eigenvalues 2 and 3?

A: The given matrix,      A=a1b0

Q: 5. Boat Speed A boat on a river travels downstream between two points, 20 mi apart, in 1 h. The…

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Q: Graphs of f(x) (solid) and g(x) (dashed) are given below. Use them to find the following ives. Show…

A: Graph of  the function f(x) and g(x) are given, we have to find the value of h'(1)

Q: 20 x° cos xdx 22 x cos xdx cos xdx 24

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Q: Given the following information of a triangle, match the missing side or angle with its value. A =…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: f(x, y, z) dV = JE

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Q: Find f. f"(x) = x-2, x> 0, f(1) = 0, f(6) = 0 f(x) =

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

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Q: would need some help to find the Taylor series for f(x) centered at a = 9 for f(x) = 1/√x, please?

A: We have to find the Taylor series at centered a=9

Q: 3. The position of a Roomba is given by the function s(r) = r –21² + 120r, where time, 1, is in…

A: In order to solve this question we need to get the velocity and acceleration function.

Q: At a given moment, a plane passes directly above a radar station at an altitude of 6 miles and a…

A: Let's find.

Q: 3X (x³+

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Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e-*. (a) Verify that yp = -3x +…

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Q: 6. Find the area bounded by: d. The curves y=x-4, y38-2x.

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Q: Find s(t), where s(t) represents the position function and v(t) represents the velocity function.…

A: Given query is to find the position function.

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: () Write the linear system in matrix form. Assume X = dx 3D —Зх + 5у — 92 dt dy 3 4x — у dt dz = 10x…

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Q: 6. Find the area bounded by:

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Q: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: Locate the discontinuities of the function. 2 f(x) = 1 + e7/x

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x + 23x

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Q: Use the initiator and generator shown to produce the next two stages and attach your answer.…

A: In order to proceed to next two stages we need to get the logic behind the initiator and generator.

Q: Sketch a graph of a function satisfying the following properties. 1) lim Ax) = -2 2) f'(5) = DNE

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Q: A goat farmer needs to enclose a rectangular field. The area of the field will be 600m^2  The farmer…

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Q: Test the series below for convergence using the Ratio Test. n + 5 54n +2 n=1 The limit of the ratio…

A: The given series,      ∑n=1∞n+554n+2

Q: The helix of radius R, height h, and N complete turns has the parametrization nNt 2n Nt r(1) = (…

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Q: Activity 1.3.2. Consider the functionf whose formula is f(x) = 3 – 2x. c. Use the limit definition…

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Q: The region {(*+y)|x2-7, 0syse} is is represented below. Find the area of this region to two decimal…

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Q: 2 – 5n 11п-1 n=1

A: Use ratio test.

Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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Q: For f(x)= (n+gvx)m *, find f'(0.1) and f"(0) n: Student number in his/her group. g: Group number…

A: First we find f'(x) and f''(x) of the given function and put the value 0.1 and 0 respectively

Q: The concentration, C, of phenylbutazone, in micrograms per milliliter (ug/mL), in the plasma of a…

A: Here, the given model is: C(t)=42.94e-0.01054t where t is the number of hours after injection

Q: 4. csc(t) = 5 with t in quadrant 2. Find the following: (a) sin (t) (b) sec (t)

A: First we find out sin(t) then we find out cos(t) then sec(t) using the formula sec(t)=1/cos(t) and…

Q: Use the table of values to find lower and upper estimates of r10 f(x) dx- Assume that f is a…

A: We have to find the upper an lower estomates.

Q: [x² sin 3xdx

A: By Parts Method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx∫v(x)dx ∫sin3xdx=-cos3x3∫cos3xdx=sin3x3

Q: Find the antiderivative F of the function f(x)= x^2 + 2x + 2 such that F(-1) = -1.  F(x) =

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Q: Draw the region bounded by the curves f(x) = 2x2 – x³ & g(x) = 0. Then use the cylindrical shell…

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Q: The volume of a right circular cylinder of radius X and height y is given by V= TtX¯y, Suppose that…

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Q: 3. A body is moving in simple harmonic motion with position s(t) = 3 + 2sin4nt. At what time in the…

A: s(t)=3 + 2 sin4πts'(t)=0+2 cos4πt (4π)s'(t)=8π cos4πts'(t)=08π cos4πt=0cos4πt =04πt =π2, 3π2,…

Q: f(x) -? The graph of a function f and its tangent line at 0 are shown. What is the value of lim x→0…

A: Given query is to find the limit of the expression.

Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: let f(x) be the function 4x^2 - 4x + 11. Then the quotient f(4+h)/h - f(4)/h can be simplified to ah…

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Q: 9x dx

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Q: Find the limits as x → 00 and as x → -0o. (If the limit is infinite, enter 'oo' or '-o', as…

A: To find the limits as x→∞ and as x→-∞. If the limit is infinite,to enter '∞' or '-∞', as…

Q: dy = 12y – 3y?. Consider the differential equation dt Use a phase-line analysis to find the…

A: Here, the given DE is: dydx=12y-3y2 The fixed points are given by  dydx=0⇒12y-3y2=0⇒3y(4-y)=0⇒y=0,4

Q: 2) The rate of change of an electrical current, i, in a microprocessor circuit is given by di 0.4t –…

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