1 ) [ x (x ² − ² + + + + ) dx i) - x

Q: find area of abc triangle with given parts A=29.6 degrees b=10.7 in c=6.6in

A: Use sine law

Q: 28.y= I 4+4

A: We have to find derivative

Q: Evaluate the following integral: [²√²+² (cos(x² + y² S - y²)) dydx

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Q: Consider the following. u = 3i + 3j v = -3i+j+ 5k Find u x v. Determine if u x v is orthogonal to…

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Q: Three sides of a rectangular playing field are to be fenced with 400 m of fencing. Determine the…

A: Application of derivative

Q: cit ++ -3 it -15- -30 -45 -60 -75- -90 -105 -120- -135- <x< N ton For the above quartic polynomial…

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Q: Does the series n=1 n5/4 converge or diverge?

A: The given series is 1/n5/4, n from 1 to infinity.

Q: A silver dollar is dropped from the top of a building that is 1323 feet tall. Use the position…

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Q: Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply…

A: Our goal is to approximate the positive real number x that satisfies sinx=x3We will apply Newton's…

Q: 1- Find the inverse of Laplace transform of log (²+12)

A:

Q: ) .  Consider a minimal threshold value for a species to survive, T. One way to add in this factor…

A: answer is in next step.

Q: ST sinx + 2 cos x dx

A: we have to evaluate the integral ∫0π sinx  + 2cosx dx

Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

A:

Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: Find the complete solution of d dt 5t Vs

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Q: A breeding group of foxes is introduced into a protected area and exhibits logistic population…

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Q: Determine whether the lines intersect. If they do, find the coordinates of the point of…

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Q: 790+ 711 632 553 474- 395 316- 237 158 79 concave up. 1 2 6 For the above quartic polynomial f(x) =…

A: To find the critical points of a function f(x) we find the first derivative of f(x) and equate it to…

Q: 62. A bacteria culture has an initial population of 500. After 4 hours the population has grown to…

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Q: Question Consider the function f(x) = . (z+9)(z-2) 2+3 What are the x-intercepts? Write your answer…

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 5x²;…

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Q: -4 -3 -2 M lowest = middle = highest = 2 N H 1 2 For the above rational function f( x ) = 16x 4x² +…

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Q: According to a study, 36% of experienced file-sharers with broadband access had decreased their…

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Q: (1) ਤ + x2 x2 + 3 dx (2) In 2 -e ex 1+e dx x +7 (3) --x-6 dx

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Q: t is a fact that the function  f(x) = x(161/x − 1) has a limiting value. Use a table of values to…

A: We need to find limiting value.

Q: ds Find the particular solution of dt H|2 1 = cos-t

A: The given equation is;  ds/dt = cos (t/2).

Q: Use the given information to find the exact function value. Simplify your answer as much as…

A: The given sinθ=25, tanθ&gt;0 . We have to find the values of cos2θ and sin2θ

Q: Evaluate f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: z = x + y, x² + y² ≤ 1

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Q: Solve the following system of simultaneous using Cramer’s Rule 3x – 3y + z = 5 4x + y + 2z = 3 5x…

A: Given   System of equations 3x – 3y + z = 5 4x + y + 2z = 3 5x + 3y + 4z = 2

Q: 72. The volume of a sphere is increasing at a rate of 40 cm3 per minute. Find the rate at which its…

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Q: Evaluate the following integral using trigonometric substitution. dx 2 x - 289 " || X> 17 dx 2 x² -…

A: The objective is to evaluate the integral using trigonometric substitution.

Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…

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Q: 9. Consider the equation 2 5cos x + 4cosx = 1. a. Put the equation in standard quadratic…

A: The given trigonometric equation is 5cos2x+4cosx=1

Q: The velocity of an object is v(t) = 29t²,0 ≤t≤6 where v is measured in meters per second and t is…

A:

Q: 4. The height h in centimeters of Shuntaro's pogo stick from the ground as he jumps on it since s…

A: We have to find the height at given times.

Q: (a) AB X AC (b) the volume of the parallelepiped determined by AB, AC and AD

A: As we know the expression for the volume of the parallelepiped is: Vp=AD→·AB→×AC→   The given…

Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

Q: Evaluate the indefinite integral: S √4x + 9 dx

A: Given.

Q: is this just for #6?

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Given that , Point =14,-12 ,7 and line x2=y-4-1=z Find the equation of the plane.

Q: Determine whether the geometric series converges or diverges. Σ1 −20(– 10)n-1 7 a) The series…

A: Given: ∑n=1∞-20-107n-1

Q: Let x = 6.99999.... (a) Is x 7 x = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

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Q: F(s) = 2 (3s-2)(2S-1)(3s+2)

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Q: 2 3 [²³x²³ ln(x¹) dr Sº x exp(-x) dx 1 X Jo 2x² +1 dx

A: Solve the integral

Q: Use the Laplace transform to solve the following initial value problem: y" +9y= cos(6t) y(0) = 0,…

A: given y''+9y=cos(6t) taking laplace on both sides  L{ y''+9y}=L{cos(6t)} L{y''}+L{9y}=L{cos(6t)}…

Q: find the avg rate of change for the function over the given interval find the avg rate of change…

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Q: 1. Testing convergence for an alternating series. (a) Carefully determine the convergence of the…

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Q: d 2. Given that g(x)= 1 dx 1+3x 3 (1+3x)² term-by-term. 3 (1+3x)²' find a power series…

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Q: = √ √ XY S: z = 9-x-y, first octant Evaluate xy ds.

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Q: -8 -4 Challenge #4 24 160 -8 0 -8 4 Plot four exponential functions. Each one should pass through…

A: we have to find the exponential functions passing through the blue point and the black point