O O 01 lek 0 Question 20 f(x) ²-1 on (0,] is given. Find the Riemann Sum with 3 subintervals using right endpoints. (Rs: Right end-point approximatic O 0-4 332 2 * 7

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) f(t)…

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Q: Is the answer to this question 2pi.

A: To explain that the given answer is correct or not.

Q: find dy/dx by implicit differentiation sqrt(xy)=10x+4y^2

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Q: Use Newton's method to approximate a root of the equation 4x³ + 2x + 4 = 0 as follows. Let x₁ = 1 be…

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Q: Write the linear regression equation that represents this set of data, rounding all coefficients to…

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Q: (1) Consider the following integral 1-y² LI /2-x²-y2 1 x²+y² x² + y² + 2² (a) Convert the integral…

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Q: Question R is the region bounded above by the graph of f(x) = 2x and below by the x-axis over the…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ti+ sin(t)j + cos(t)k)…

A: The objective of the question is determine the limit.

Q: the open interval on which the function is increasing or decreasing. (Enter your answers using…

A: Topic:- function and application of derivatives

Q: 9. Draw the polar curve defined by r = 4 - 2 cos 30. 10. Convert the polar equation to rectangular…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (6 + s)i + j K= eBook

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Q: 6. A population grows exponentially according to the differential equation P =kP , where P is the…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: Use the Laplace transform to solve the given initial value problem. y” – 10y′ – 171y = 0; y(0) = 11,…

A: laplace transform

Q: 3) Let D be the region enclosed by the two paraboloids z = 4 + x² + y² and z = 10-x² - y². Then the…

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Q: Use implicit differentiation to find y² + 8x³ = 3y - 4x² dy dr

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Q: Use the formula к(t) = = k(t) = = ||r' (t) × r"(t)|| ||r'(t)||³ r(t) = t²i+t¹5j to find (t).

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Q: Find the Laplace transform of coshbt. Recall that coshbt = OL{coshbt} OL{coshbt} O L {coshbt} O = =…

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Q: Question For the function f(x) = 5x + 2, it is given that f(x) f(x) dx = 102. At what value c does…

A: Here, note that the average value of the function in the interval [0,6] is given by: f=16-0∫06f(x)…

Q: D O O 01 Evaluate lim N-00 O 12 Question 18 4 3/2 59 2 Σ [³ ( - )* - ( - )] + N by using it as a…

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Q: Use Theorem 7.1.1 to find (ft)). (Write your answer as a function of s.) f(t) = (et-e-t)² L{F(t))

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Q: For the function f(x,y)=−5x2+2xy+3y2−x−5y+1f(x,y)=-5x2+2xy+3y2-x-5y+1, find a unit tangent vector to…

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Q: Prove Vf(r) f'(r)r r

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Q: Solve the equation on the interval 0≤0<2t cos 05 (20-7)=1 What are the solutions in the interval 0…

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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: At the beginning of every three months, a college student deposits P3,000 in a fund that gives 2%…

A: Given:      Principal =$3000     Quarterly Interest rate =2%=2%4=0.5%=0.005     number of times n=3…

Q: Which statement(s) is(are) true? (1) f(x)= |a| is differentiable at 0. is differentiable at 0. ()…

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Q: Drag the points to sketch the graph of the given function. Determine whether f is continuous,…

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Q: Compute the values of dy and Ay for the function y = 22 + 4z given z = 0 and Az = e Round your…

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Q: 11 sin (0) cos³ (0) + 3 cos (0) do

A: Our Aim is to evaluate the integral given below:-∫11 sin θcos3 θ+3 cos θdθ -(i)

Q: For the function, do the following. f(x)=√x from a = 2 to b = 5. (a) Approximate the area under the…

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile…

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Q: Let F(x) = f(t) dt and G(x) = g(t) dt, where the graphs of f(x) and g(x) on [−2, 4] are below. -1…

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Q: 03. a) b) 2 Q4. lim (e* + 2x)² = c)-2 b) 2 c) e³ d) 1 In 3

A: Accoding to given ,only (4) is solved .Given :limx→0ex+2x1x

Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

A: Here, the given curve is: y=4xcos-1(x-1)⇒dydx=ddx4xcos-1(x-1)⇒dydx=4ddxxcos-1(x-1) Using the product…

Q: O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1…

A: To find the derivative of given function.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 8. y = √√9-x over [1,9]

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Q: 0.6 T² 9 - 25x² dx

A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

Q: Find the arc length of the graph of the function over the inc = √y(y - 3), 1 ≤ y ≤ 25 3 X

A: Arc length formula L=∫ab1+x'2dy

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given functio 5s² - 10s + 50 s(s² +25) Your…

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Q: press -2√3-2i in the form ree with 0 ≤ 0 < 2T. 4e 3 4e 6 4e 2 i -2 4e +i 4e Fi

A: Given the query is express the complex number in the Indicated form.

Q: 32-2n Σ=3 Ln=3_25-n

A: We have to evaluate ∑n=3∞ 32-2n25-n.

Q: lim, 0 6 tan² (5x) 15x²

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Q: 10 15 20 25 30 monthly salary S( t) in dollars for a dock worker shown above has the following cubic…

A: Please refer to the image below

Q: Q10) f a)x² + c sin"1x+cos-ix dx +c c)= x + c 12 +

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Q: A manufacturer can produce 4860 cell phones when a dollars is spent on labor and y dollars is spent…

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

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

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Q: 10. For V=2, fi , first find and and then, compute t+p%.

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