Find the work done by the vector field F = (4z, 4y, 3x) in moving an object along C in the positive direction, where C is given by r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ π.

Q: Find the x coordinates of the relative extrema of the function f(x) = xe4². Relative maximum at x =…

A: See this solution in below.

Q: The area of a rectangle with one of its sides s is A(s) = 17s². What is the rate of change of the…

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Q: Define Hybrid Integration

A: A process of integrating cloud based services with the work applications and the system in premises,…

Q: Kosumi puts the base of a 9-foot ladder 6 feet from the wall of his house. How far up the wall does…

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Q: Find the gradient Vf of the function f given the differential. df = (3x² - 1) ye dx + x³e dy

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Q: Find the midpoint of the line segment from (9,-7) to (-2,1). Midpoint Give your answer as a point,…

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Q: Let f(x) = (In x)² f'(x) f'(e¹) = |

A: dxndx=nxn-1d dx(lnx=1xlne=1given  f(x)=(lnx)7 f'(x)=d dx(lnx)7

Q: If a sequence C1, C2, C3, ... has limit K then the sequence e, e, e,... has limit e. Use this fact…

A: The value of the limit is equal to 1

Q: If f(x) = sin² x, find f'(x) f'(x) = Find f'(2) f'(2) =

A: d dx(sinx)=cosxddx(cosx)=-sinxsin2x=2sinxcosx

Q: Let (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths…

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: We have to find the distance between 12:00pm and 2:30pm.

Q: Determine the limit given that A, B, C, a, b, c ER (they are elements of the set of real numbers).…

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Q: Solve the initial value problem. y"+6y' +9y=0, y(0)=2, y'(0) = -5

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Q: At what point does the normal to y = -3- 1x + 2x² at (1, -2) intersect the parabola a second time?

A: According to question,Given Equation of parabola,y = -3-x+2x2

Q: Evaluate the definite integral. -3 [₁₁2+. -3 (x+3) ex²+6x+8 dx =

A: ∫exdx=ex+c∫xndx=xn+1n+1+c

Q: Use the chain rule to find First the pieces: dz da ?х Əs dy Əs And putting it all together: dz Əs Əz…

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Q: If f(x) = ƒ' (2) - 6 sin x + 12 cos x, then Help: Post to forum

A: See this solution in below.

Q: 3. Given: sin(0) = cos(p) = Show all work! Find: sin(0 + p) π where = < 0 < π 2 5 where π < φ< 13 3π

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Q: The domain of In(x) + True False 1 x² - 1 consists of all real numbers except x = ±1.

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Q: The price (in dollars) p and the quantity demanded q are related by the equation: p² + 2q2 = 1100.…

A: Solution-   Given A=(2q2-550)/q and dR/dt=A*dp/dt   b) dp/dt=3 and q=15, then dR/dt=?   Now put…

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: Answer: 3 = f*f(x) dx = f(x) dx = 50, find If f is continuous and ³ ['ƒœ f(3x) dx.

A: I am attaching image so that you understand each and every step.

Q: Let (in radians) be an acute angle in a right triangle and let and y, respectively, be the lengths…

A: Given adjacent side = x opposite side = y

Q: (y³-2y)dy y2-1

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Q: Solve fr5 ln(x) dx using Integration by Parts. Use u = ln(x) and v' = x5. Answer: 9.

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Q: I need help with this problem using this method. Determine the inverse Laplace transform of the…

A: To solve the following

Q: (a) Compute 83 of ∞ (c) Use n = 3 and n=1 2 9n6 (b) Estimate the error in using $3 as an…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 1.* dx e + 1

A: Given ∫6e-x+1dx

Q: Solve for x the equation log_3⁡ (x^2+17) - log_3⁡ (x+5) - 1 =0

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Q: Let f(x) = - 4 ln(6x) f'(x) = f'(2) =

A: Let, fx=-4 ln6xTo find f'x and f'2.

Q: Answer: If f is continuous and [10 *f(t) dt = 12, find the integral [*²1² ƒ (1³) di dt.

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Q: tan x 2- sec² x 57. 10sin x cos x = 6cos x 60. 8sin²x+6sinx+1=0 54. - sin² x = cos²x 52. sin(2x)-…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: According to question,Given Functions,fx = x2 + 20≤x≤5,Rotation about x =5

Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

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Q: The indefinite integral (4x – 5)e4* dx can be evaluated using integration by parts. Even though you…

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Q: A B C (D) (0, 2); Graph of f The graph of the function f shown above consists of two line segments.…

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Q: Find the value of tan (a - B) if cos a = 90° a 180°, and 90° <B<180° 3 5 = -³/³, sin ß = 13

A: Given  cos α = -35,  sin β = 513,  90°&lt;α&lt;180°, and  90°&lt;β&lt;180°.

Q: Split into partial fractions: 16 4x² +

A: Given :164-x2=1622-x2

Q: Suppose that a population of bacteria triples every hour and starts with 100 bacteria. Find an…

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Q: luate the following integral: -2t sin(3t) dt

A: Topic:- application of integration

Q: 3. Solve the initial value problem y" - 3y + 2y = 4x + e²r, y(0) = 0, y'(0) = 1 by method of…

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Q: Evaluate the definite integrals = Jo Vt dt = a) 16 1 b) ₁²0 + /2d² = dz C) 125 dx =

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Q: ding Area by the Fundamental Theorem Find the area of the region. Se y = 5e-x/4 293 -4 -2 10r 8 4 2…

A: Given query is to find the area of the region.

Q: Evaluate the integral - dz 2./or using trigonometric substitution.

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Q: Find the distance between the points (1,0) and (-5,5). Round to at least the nearest hundreth.…

A: NOTE: Refresh your page if you can't see any equations. . two points are

Q: 38. 1 50 So (3t - 1) 5⁰ dt

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Q: Find the area of the region. y = 16 - x4 15 10

A: Area of the shaded region Area ( A ) = ∫x1x2ydxGiven y = 16 - x4

Q: s²+s+1 Exercise 6.4.6: Compute L-1 (2²+ +¹}. $2

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

Q: valuate the integral f z² dz √25-2² using trigonometric substitution.

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Q: Find the distance between the points (63, 89) and (72, 49) Distance =

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