The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t² +286t+ 10. ... The velocity of the ball at 10.8 seconds is ft/sec.

Q: 4. x² + y² = 25 at point (3,4) 2

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Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

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Q: Use integration by parts to evaluate the integral. [2xe™x dx dx = [2xetx

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Q: e the differential equation e2x dy +2e²x y = 2x

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Q: Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

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Q: 2. Evaluate the following 3. S²³S² (5x³y² + 3x) dy dx 3 3 9. O

A: ∫03∫01(5x2y3+3x) dy dx

Q: 26. *2# 70 x² sin x dx

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Q: 2. You wish to construct a topless crate with a surface area of 230in² and the base with one side…

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Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

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Q: th each graph with its equation of a. r= cos(20) b. r = cos(40) c. r = sin(40) d. r = cos(50) e. r =…

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Q: Consider the position function s(t)= - 16t+96t representing the position of an object moving…

A: Given problem:- Consider the position function s(t) = - 16t2 + 96t representing the position of an…

Q: 4. In order to study the population distribution of a certain species of insect, a biologist has…

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Q: 1. Evaluate 2. Evaluate sin(20) 30 x-2x cos x sin x limo lim, 0

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Q: 4. 2-5 2 -1

A: Given: ∆=|2-52-1|

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Q: Option 3 + 7 2x2 7 ALL OF THE ABOVE

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Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

A: The function is given by, f(x)=13x2 = 13x-2    ⇒f(1)= 13Differentiating the function 1, 2 , 3 ...…

Q: Evaluate SSA, dA, where R is the region bounded by y=x2 and x = y² in the first quadrant. X

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Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: If Vf = F, then F is called a potential vector field, and f is called a conservative function. True…

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Q: Solve the equation: y" - y" -2y' = 0 Oy=c₁e* + c₂ + c3e²x y = ¢₁e²^³ + c₂e³ + c3e²x O

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Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

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Q: EX 3! Show that F (x₁y) = (2xy - 3) + " + (2y + x² ) 5* is conservative and find a potential of it..

A: Use the partial derivative for finding the potential function

Q: There are 30 emoticons. If 15 of the emoticons show hapinnes, 10 show confusion and 5 show anger,…

A: The answer is given below:

Q: Find the solution of the following IVP. * (yexy) dx + (xexy + sin(y))dy = 0, exy + cosy - 1 = 0 O…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y…

Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

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Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y=√x,…

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Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

A: We need to find volume.

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A: follow next step

Q: Evaluate the integral √ (k+ 2) ( k + 3) dx

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We state Divergence Theorem and explain it.

Q: Convert the Cartesian coordinate (-1,-4) to polar coordinates, 0≤ 0 0 Enter exact value. 0-

A: Given, (x,y)=(-1,-4)

Q: 6 F 0 28inx Cask ex

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9 None of the…

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Q: The population of a city is 150,000. The city declines continuously by 4% per year. ... If this…

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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: nd the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°   Enter…

A: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°

Q: Answer correctly, comprehensively, and neatly. Thank you. A vertical liquid storage tank shaped like…

A: A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high.…

Q: 1. Find the Inverse Laplace Transforms of the following. 4 1) -1 S-3

A: The general formula we have that  Laplace transform of eat u(t) is 1/(s-a)

Q: B. Find the general form of the equation of the tangent line to the given curve at the indicated…

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Q: What is the solution of the given ODE * xy' + y = √x /2 x = {√x + ² y = {√x + = 2 y 1 x Option 1…

A: Given problem:- What is the solution of the given ODE*   xy' +y= √x

Q: Evaluate efffxv xdv,where D is the tetrahedron with vertices (0,0,0), (2,0,0), (0,2,0) and (0,0,2).

A: Given problem:- Evaluate  ∫∫∫D xdv ,where D is the tetrahedron with vertices (0,0,0), (2,0,0),…

Q: Which of the following are parametric equations for the entire line y = x + 1? Choose all that…

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Q: EX 4: a) Determin the value of A and B for wich the vector field x4 F (X₁y₁z) = Axluze + B By ² z 5…

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Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

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Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…