Find the second derivative of the function. f(x) = sec x

Q: Consider the ellipsoid x2+ y2+ 4z2= 12. Find the general equation of the tangent plane to the…

A: Given that the ellipsoid x2 + y2 + 4z2 = 12. We find the general equation of the tangent plane to…

Q: II) Given: • tan a = 2√6, a € [0, π] 3 •cos 3 = and sin 30 5 Find the numerical value of the…

A: given tanα=26,  α∈0,πsince tanα is positive and α∈0,π, so α lies in quadrant 1

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Evaluate the line integral along the given path. (4x-7y)ds C:r = 7ti+6tj, 0 ≤ y ≤8 O-454/85 O-444√85…

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Q: 6. Use the Ratio Test to determine if the series converges or diverges. n¹⁰2n n! n=1

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Q: -1 'Cos'¹x { √(1-x²) } ]¹_dx og. { 1 + (sin (2x√(1-x²))} TT

A: Given data:- ∫cos-1x1-x2-1loge1+sin2x1-x2πdx

Q: The concentration C(t) of a certain drug in the bloodstream after t minutes is given by the formula…

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Q: 4. Given the table below for selected values of f(x), use 6 right rectangles to estimate the value…

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Q: sin () = √3- sin(). The Solution set is 3 21 A 5 31 3 3 {##) (1 O{#, *}

A: topic - solution of trigonometric equations

Q: The graph shown is f(x) = In (x + 2). What is the integral function g(t) that defines the area under…

A: Given that, the function is fx=lnx+2. Note that, the area under the curve fx between a and b is…

Q: df Use integration to find f(4), if = dx O -26.667 O -19.667 O 26.667 O 30.333 5x2, and f(1) = 7.

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Q: 40 9 If the pointP (4) is the terminal point of t on the unit circle, fin 41 41 value of tant and…

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Q: . After one​ year,    ________​% of the information is remembered. ​(Round to one decimal place…

A: The function fx=80e-0.3x+20 describes the percentage of information, a particular person remembers x…

Q: Find the exact value, in radians, of the expression arc cos ().

A: We will solve the required.

Q: 21

A: Please see the below picture for detailed solution.

Q: If the rate of change of Q is directly proportional to Q, and if Q(0) = 100 and Q(4) = 440, find k,…

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Q: Find the displacement of an object on the interval 1 ≤ t ≤ 6 if its velocity is shown. 8.5 O 10.5…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the Taylor polynomial of degree 2 centered at x = e for the function defined by ƒ(x)=x² lnx.

A: Solve the following

Q: Find anti derivative of 4cscxcotx + 3/(sqrt(1-x2) - 1/(cubrt(x5)

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Q: i) etan-¹x 12 1 + x² dx ii) ii) sin sin5 x dx

A: Solve the following

Q: Evaluate:Z-¹ { ¹(s+2)²-49 }

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Q: . Find the y-coordinate of the centroid of the region bounded by y=x^2, y = 0, and x = 1. a. 2/3 b.…

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Q: explain

A: Displacement is the shortest distance between two point.

Q: Use two methods to find the area bounded by y=e-1, y = 2e-1 and the y-axis y = x-x 1

A: The area is bounded by y = x/(1-x) , y = e-1, y = 2e-1and y -axis. The region bounded by curves is…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: 20

A: I have stated the used formulas in the solution

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

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Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? f*

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: f a function is increasing, then will using left or right endpoints overestimate the area under the…

A: Let's solve.

Q: Is it possible for a function f to attain only positive values (that is, f(x) > 0 for all x) and…

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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: 2. Which equation models a quadratic relation? Oy = 2x²+1 Oy: O y = x -3z y = 3x+1

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Q: Evaluate the integral using the following values. [x³ dx = 320, ["x dx = 15, ["dx-4 = dx

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Q: Find the area of the region bounded above by y AY -x² + 8 and below by y = x². ==

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Q: 7. y = tan³ (2³) (A) 3x² sec(2³) tan(x³) (B)-3x2 sec(³) tan(x³) 8. y = cos(5x) (A) sin(5x) (B)-5…

A: Topic = Derivative As per guidelines, At a time only three sub-parts of a question can be answered.

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: The base of a three-dimensional figure is bound by the line x = y² and the y-axis on the interval…

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Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. f(t) = cos(t) Step 1…

A: Solve the following

Q: The graph shown below is f (x) = √√9 - x². If g(x) = f* f(t) dt, what is g′ (√5)? g' 00 02 O 2.5 5+…

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Q: A tank initially contains 10 kg of salt in 50 liters of water. Pure water enters at a rate of 2…

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Q: OA. x=0 and x = 3 OB. x=0 OC. x=3 OD. There are no points where the function is discontinuous.

A: Follow the procedure given below.

Q: Graph the integrand and use areas to evaluate the integral. 5 S (5-1x) dx -5 A. 50 B. 75 C. 25 - 2…

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Q: The doctor has ordered Librium 25mg IM. The vial is labeled Librium 100mg. The directions state to…

A: Given Quantity of Librium ordered = 25mg Vial labeled Librium = 10 mg Water to be mixed with 100 mg…

Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

A: Concept: Integration: Integration is the process of connecting the parts to create the whole. We…

Q: A region bounded by f(x) = √√√x + 2, y = 1, x = 4, and x = 0 is shown below. Find the volume of the…

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Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. the measure of the…

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Q: 18. Prove that A × (BUC) = (A × B) U (A × C).

A: The objective is to solve the above question.