A particle moves in a straight line from the origin (at t= 0) with given initial velocity u, and acceleration a. Find s at time t.

Q: Charles plots the point with the polar coordinates (-5,-). How does he plot this point? Drag a value…

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Q: Properties Of The Dot Product (- 2-.. pesta ) n. v = 0 = i = 0 or D = 0or ii 1 v تريلية

A: We have to prove the given property.

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Q: Test for convergence / divergence. Find the limit if result is convergence.

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines

Q: Find an equation of the hyperbola with vertices at (±5, 0) and foci (±10, 0)

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Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

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Q: 3x²+2 0 2x²+4x+3 In 121 3 So Option 1 In 131 2 Option 3 None of the above dx Option 2 2 In 131 2 2…

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Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°). What is the component form…

A: We want to find component form of the vector.

Q: IVICCE dy Find from the following equations dx Problem (iii) x³ + xy = 0

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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…

A: We have to find the area of the given region.

Q: Determine the x - y coordinates of the points where the parametric equation x = 5 sin²t y = 2 cost 0…

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Q: with this can you solve D and E with this information. Thanks.

A: Given problem:- D) Use the First or Second derivative test to prove that there is a relative minimum…

Q: The cost, in thousands of dollars, of airing X 30-second television commercials during a Super Bowl…

A: Note:- These are multiple sub parts question and according to our company guideline we can do…

Q: 3. SET-UP the definite integral that will give the area of the region specified using (a) z as the…

A: topic- area bounded by curves

Q: Question 10 The function y= ax6x³ has a minimum point at (2a, f(2a)). Determine the value of a. - a…

A: Let's find a value.

Q: 2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4. 3 sq. units 6 sq. units 9…

A: Given that  :   y2 =4x and y=2x-4 . And we find area bounded by this parabola and line.     Here i…

Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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Q: cos sin-cos -d0

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Q: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: Concept: Linear approximation: Approximating the value of a function at a point with a line is known…

Q: Use the chain rule to find where st the pieces: z = x²y + xy², x=3-t³, y=3-t6

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

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Q: It is known that for a function f(x), f'(1) = 0 and f" (1) = -0.5. What does the Second Derivative…

A: This question can be solved using the concept of second derivative test.

Q: B. Determine whether each of the following functions is (a) continuous (b) differentiable. 12.…

A: Please follow the the explanation.

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…

Q: 4

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Q: 1) If y = (x-a)√2ax-x² + + a is constant. x- -1(*-ª) ,then y' = 2√2ax - x² a² sin-¹ a²

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Q: Given I(0) = cos (0 + π), (a) Find I(-) analytically. (b) Find I' numerically by using a central…

A: Given: Iθ=cosθ+π. (a) Differentiate with respect to θ, I'θ=-sinθ+π…

Q: First the pieces: End result (in terms of just t): dt 江 西 | Use the chain rule to find where 11 z =…

A: if z is function of x and y. Also x and y are of function t then derivative of z w.r.t "t"  is…

Q: solve by the method of undetermined coefficients. b.) y''+4y=5sin(4x)

A: We need to find D.E.

Q: 1. A farmer wants to fence in a field and divide it into four side by side, equal areas. If he wants…

A: From the given data And, xy=8000&f(x,y)=2x+5y is the parimeter to minimize.

Q: Solve for the slope of each of the given point of a function

A: Given that,

Q: Evaluate the following integral. JJ. xyz dV if S is the region bounded by the cylinders x² + y² =…

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Q: On the Illinois state tax form, numbers are to be rounded to the nearest dollar. If Heat earned…

A: If you have to round off to complete integer then we need to look the first number after decimal.

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: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√/s s4

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Q: 26. *2# 70 x² sin x dx

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Q: You are tasked with designing a cylindrical can. The material for the top and bottom of the can…

A: This question can be solved using the concept of maxima and minima.

Q: 5.) I. b -3 -6 Simplify. Write "undefined" for expressions that are undefined. S + toom 6 0

A: Answer (5) We have to simplify

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: 1. Find the Inverse Laplace Transforms of the following. 3s 2) s²-4

A: Given :L-13ss2-4

Q: √√1-25x² dx

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

Q: 1-√3-x 4. lim. x→2 4-x²

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Q: West Z dt x North JOAN dx dt ANDRES = 25km/hr dy dt y 18km/hr

A: Given: Speed of Andres  = 18 km/hr Speed of Joan  = 25 km/hr

Q: The rate of a continuous money flow starts at $600 and increases exponentially at 2% per year for 15…

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Q: Evaluate the following limit lim (3¹6) (²-√²+₂) Ꮳ X-4 -64 Show all your work. Warning: You will get…

A: Limits

Q: Given v (2, -9) and w = (7,-8), what is 2w - vv

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Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: Find the domain of the function of 5 log₂ (4-x²)+11 f(x) = 12x-31-2 + sin¯¹(1 − 2x) Express your…

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Q: 3. How much work does it take to pump the water in a full tank to 2 ft above the tank in the…

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