Evaluate ln(e2)   a. 2.712828   b. (2.71828)2   c. 2   d. 5.437

Q: tf(x) be a function defined on [0,8] whose derivative has the following graph: Figure 1: Graph of y…

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Q: Use implicit differentiation in finding y'. 1. x² + y² =18xy 2. x²y + xy² = 6

A: Given,x3+y3=18xyDifferentiate w.r.t.'x'(Use product…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -5…

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

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Q: A rancher plans to fence-in a rectangular corral adjacent to a river for a herd of cattle. The…

A: We have to find the length of sides and area.

Q: Find the gradient of the function at the given point. In(x²-y)-3, (3,8) X Vz(3, 8) = Z

A: for finding gradient we have to find the derivative with respect to x and y   z  = ln(x2 -y)/x - 3…

Q: 3. A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed. a.…

A: Angular velocity= θ/t , θ= 2π×number of revolution per unit time  Linear velocity= radius× angular…

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: 56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y…

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

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Q: Question 3 Given the following, complete the questions below: A= B= 2 a. Perform the transposition…

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

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: ) .  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: Answer the following completely. Given: tan a = 2√√6, a € [0,π]

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Q: solve by hand( numerically) f(x)= cos(x)-x exp (x) using the bisection method and Newton- Raphson…

A: Let f(x)=cos(x)-x exp(x). Here f(0)=1>0 and f(1)=-2.178<0 Now, Root lies between 0 and 1.…

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

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Q: Evaluate: L{cos8t} = Blank 1 Blank 1 Add your answer

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Q: Find the distance between the point P(1, 1, 1) and the surface x² + 2y² + 3x² = 1.

A: Given Point P1, 1, 1 and surface x2+2y2+3z2=1

Q: Find the curl of the vector field F. F(x, y, z) = arcsin yi + V1 - x2j + y2k

A: To find the curl of the given vector field F

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

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Q: Determine if the Integral Test can be used for the given series. 1 in= √4n+1 a) The Integral Test…

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Q: Find the curl of the vector field F. F(x, y, z) = (2y - z)i + e²j + xyzk

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Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

Q: • [√x S: z = 8x, 0≤x≤ 8, 0≤ y ≤7 Evaluate (x - 2y + z) ds.

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

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Q: Find the maximum and minimum values of the function g(0) = 30 – 7 sin(0) on the interval ㅠ [0, 1]. 2…

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

Q: 3. Find the general solution of the differential equation y(4) — 4y" = t² +et.

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Q: 4. Let g(x) = f(t)dt, where f is the function whose graph is shown. (a) At what values of a do the…

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Q: 3x2+2 0 2x²+4x+3 So dx

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Q: 13. g(x) = x¹nx

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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: Evaluate f2Tof 1 0 rdrde

A: The given integral is: I=∫02π∫01rdrdθ   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: (1) f(x+4)² dx (3) ſ. x² dx x² - 4 (2) √ x²(x³ + 1)² dx (4) √x²0 x² cos 3x dx

A: The given integrals are;  1) (x+4)2 2)x2(x3+7)7 3)x2/(x2-4). Repost the 4th question.

Q: Evaluate : L {15} = Blank 1

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Q: is this just for #6?

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Q: 1. (2x^²+4x-3)abc 2x+4+2+C x

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Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: Minder with a closed top and bottom is to have a volume of 101 cubic inches. If the cost of the…

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Q: dw A goat that weighs 6 pounds at birth gains weight at the rate dt (a) Find the particular solution…

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Q: (1) f (1) x²(x³ +1)5 (x³ − 1)5 dx -

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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: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: 8. Prove: 2 1-tan x 1+tan²x cox2x.

A: (1-tan2x )/(1 +tan2x ) = cos2x here we have to compare the left hand side and right hand side apply…

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

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

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: The lower arch of the Sydney Harbour Bridge is 503 metres in width and 118 metres high. It is also a…

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Q: Determine the total number of arrangements of the digits 173174561737 so that no 7s occur next to…

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Q: -6 -4 -2 -6 y 2 4 The graph of f(x) is given above. Determine the domain and range of f-¹(x) using…

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Q: # (u²-1)4 (u² + 1)4 du

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