Use trigonometric substitution if possible dx x? (9x2 – 4)2

Q: Preview Activity 1.4.1. Consider the function f(x) = 4x - x². a. Use the limit definition to compute…

A: This question can be solved using the concept of limit definition of derivatives.

Q: CoS“ n In n а. n2 n³ n=1

A: Solution: a) ∑n=1∞cos2(n)n2+ln (n)n3

Q: mit Comparison Test. a conceptual problem that will help us determine when the limit con e value of…

A: We have to find the following conditions according to the given information

Q: 25% of the initial intensity I.

A: answer is in next step

Q: Given the differential equation y' = &r + y2 Find the Implicit derivative " dy/dx" of the…

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Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

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Q: x²– y² )² Consider the function f (x.y) =| x²+y², Which ONE of the following statements is TRUE? O…

A: We will find limit at (0,0).

Q: 3. Hallar una serie de potencias centrada en c = -3 para la función f(x) = 1 2х-5 a) Σ (3x)* 2-1…

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Q: Suppose f is continuous on [3, 10] and differentiable on (3, 10). If f(3) = -1 and f'(x) 2 5 for all…

A: We have to find the minimum value of f(10).

Q: L Sketch the plane curve by plotting points. Indicate the orientation of the curve. (Hint: Create a…

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Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1) Determine the unit vector…

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Q: Let Slx) = tanx 3. Sind tanx bx using Lebesgue in tegral.

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: .4 sec'x (V tan³x + 1 ) dx

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

Q: Find the surface area of that part of the plane 9x + 6y + z = 4 that lies inside the elliptic…

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Q: Consider the following. u = (4, 7, -7), v = (-9, 3, -4) (a) Find the projection of u onto v. (b)…

A: Projection of u onto v is given by projvu=v·uv2vAnd the vector component of u orthogonal to v is…

Q: 5) A pendulum swings though an angle of 25° each second. If the pendulum is 45 inches how far does…

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Q: An irrigation sprinkler in a field of lettuce sprays water over a distance of 25 feet as it rotates…

A: We are going to slove above question and find the area of field

Q: Find the aveas for Ehe following Vegions: 3- Regiun bounded by y=メナy=X and y=2 4-Region bounded by ५…

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Q: (1000- 9503)÷72=?

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Q: e dx (1– e*)2

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Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

Q: show

A: We have to determine the sum of the given convergent series.

Q: A culture starts with 8100 bacteria. After 1 hour the count is 10,000. (a) Find a function that…

A: Here is the solution:

Q: Find the sum of the convergent series below. Show complete solution

A: This question is related to infinite series, we will solve it using given information.

Q: Determine whether the planes are parallel, perpendicular, or neither. Зх — 18у — 15г - 2 %3D 0 (a)…

A: Given:   Equations is given

Q: 1. Determine all critical points for the following. Identify the absolute max/min. a) y = 2Vx + 1 -…

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Q: A ship leaves Port A and travels 67 miles due west to point C. It then adjusts its course 41°…

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Q: 2 : Let S be a closed surface enclosing a volume R. Let F = fVg, where g(x, y, z) is a harmonic…

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Q: Q6. The price received from sales in OMR per unit is given by p =x² +x+1. i. the revenue function,…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let f(x) =x²-3X²- 24 x +26 a) the open intervals on which flx) is incheas in g aN the open intervals…

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Q: 6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes…

A: The base of the rectangular box is square.suppose, the base dimensions are (x)×(x)The cutout length…

Q: Consider the non-homogeneous differential equation (D)y = F(x) where it has m³ – 3m? + 3m + 7 = 0 as…

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Q: 3. Find the value of c guaranteed by the MVT for integrals for f(x) = cos(x), [-; 3'3 ] over this…

A: f(x)= cosx  , [ -π3,π3]as per MVT for Integrals for a function f(x) bounded and integrable on [a,b],…

Q: 13 with A in Quadrant III, and cos(B) 85 8 with B in Quadrant I. Find cos(A+B). 17 You are given…

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Q: Find the area of the region that lies inside both curves (must plot the curves) r=3+2costheta,…

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Q: 2-1)"13_n+6 3n +1

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Q: 3 b. Compute the integral S 6x 2 dx using a limit of Riemann sums. Use right endpoints as evaluation…

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Q: Find the surface area of the sphere x^2 + y^2 + z^2 = 100 that lies above the cone z = sqrt(x^2 +…

A: We need to find surface area.

Q: Solve the system of equations by any method.   −4x+8y    =28 x−2y    =−7   Enter the exact…

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Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

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Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: Given that the initial amount of salt = 20 g    and rate of pumping in=3L/min  Let A be the amount…

Q: rental bus fee of Php. 2000 .00 per day plus Php. 10.00 per mile traveled. How much does the rental…

A: Detailed explanation is attached.

Q: Using terms like "secant line" and "tangent line", explain how evaluating f(3+ h) – f(3) lim gives…

A: This is a problem related to derivation of the general formula of differentiation.

Q: Use the indicated change of variables to evaluate the double integral. 4(x2 + y²) dA X = y = (0, 1)…

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Q: An investor bought stock for ​$50,000. Nine years​ later, the stock was sold for ​$70,000. If…

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Q: Debra is on vacation at a tropical bay that has three islands. She rents a boat on Island A and…

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Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

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Q: Consider a triangle ABC like the one below. Suppose that a=12, b=39, and c=29. (The figure is not…

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