4) Thomas kicks a rugby ball from 0.8m above ground in Devon's direction. The ball follows a parabolic path the entire flight. Devon has his back to the ball and is unaware of the danger. After having traveled a horizontal distance of 12 m, the rugby ball reaches a max height of 9 m. Will Devon who is 1.85m tall get hit by the ball if he is standing 0.85 m before where the ball should land?

Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 8% with…

A: The amount $4000 payable at the end of 4 years, the money invested at 8% with interest compounded…

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A:

Q: A certain drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

A: Given half life of 34 hours Initial does of 75 mg

Q: Which of the function is not an exact equation of the first order?

A:

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB cot2x OC.Lnsin2x D.csc2x OE…

A:

Q: Which of the following equations is NOT a variable separable differential equation? A 2xydx + (x² +…

A: See this solution in below.

Q: Question 2 Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 A. 1/4 B.…

A:

Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

A: a) Assuming that the size of the fish population satisfies the logistic equationdPdt=rP1-PN

Q: present

A:

Q: Which of the function is not an exact equation of the first order? OA (e³ + ycosx)dx + (xe³ + sinx +…

A: If a first order Mdx+Ndy=0  is exact then  ∂M∂y=∂N∂x.

Q: Which of the following equations can be made into a linear differential equation? A. (x² + xy)dy -…

A: On solving this we will get

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A: Given data:- The given functions is, fx=xgx=1-x

Q: In dx.

A: We will find  the required  integral.

Q: Derive a Differential Equation that is free from arbitrary constants: y = Ae²x + Bxe²x

A:

Q: If f(x, y) = 64 - 8x² - y², find fx(1, 2) and fy(1, 2) and interpret these numbers as slopes. fx(1,…

A: F(x,y)= 64 -8x^2 - y^2

Q: Suppose that F(x) = √ (t +)dt where x < 0. Using the Fundamental Theorems of -4 Calculus, find the…

A: Given ; F(x)= integration of (t+1/t), t from -1/x to x2.

Q: dy Which of the following is TRUE about the differential equation x +y dx A. The equation is…

A:

Q: If f(x) = = f'(x) = 4x² tan x sec x Find f'(5)= " find 4x(x + 2 tan(x sec (x) (x))

A: Topic- Derivative of a function  We are given, f(x)=4x2tan xsec xand f'(x)=4x(x+2tan (x))sec x

Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Condition for existence of limit at x=a⇒limx→a-fx=⇒limx→a+fx=⇒limx→afx

Q: Solve for the value of C in the equation: O A. 1 (2xy4ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0…

A:

Q: Which of the equations below is a second order nonlinear differential equation? A. 2 x²y - (1 - dx)²…

A: To find the nonlinear equations.

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Your option is incorrect or may be last option correct . But my solution is correct .

Q: Given the differential equation: 2 y' + ²y = 6x²

A: To choose the appropriate method to be used to solve the given DE. Method 5: Exact Equation Method…

Q: Which of the function is not an exact equation of the first order? A. (e³ + ycosx)dx + (xe³ + sinx +…

A: We have to find which of the following function is not exact. We

Q: Find the directional derivative of f(x, y) = direction of Q(2, −2). NOTE: Enter the exact answer.…

A:

Q: Which of the function is not an exact equation of the first order? OA. (ey + ycosx)dx + (xe³ + sinx…

A: See this solution in below.

Q: Write the function whose graph is the graph of y = x2 , but is shifted left four units and down 2…

A: The original function: y=x2 To write a function whose graph is the graph of original function but…

Q: fies a(t) = −9.8 + mv(t)², where v(t) is velocity, negative since the object is falling, and k is a…

A:

Q: If you roll a 1-m-diameter wheel forward 30 cm over levelground, through what angle will the wheel…

A: Given data:- The given you roll a 1-m-diameter wheel forward 30 cm over level ground. Formula used,…

Q: hich of the following equations can be made into a linear differential equation? DA. (x² + xy)dy -…

A:

Q: Shown below is the graph of the flow rate f(t) of a pipe, in gallons per minute. Here, t= the number…

A:

Q: Uranium-238 (0-23 has a hall-me of 4. and determine that 67% of the original U-238 remains; the…

A: We will find the age of rock.

Q: Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y + 3x) dy =…

A:

Q: Let f(x)=−3e^x+2+e^4 f′(0)=

A: SOLUTION-

Q: Evaluate the sum 50 Σ(2 · k + 5) = k=1 50 Σ5₁(2. k+5). k=1

A:

Q: The answer was not correct... i think they were wanting some kind of answer closer to like…

A:

Q: O D. dependent variable = y, second order, first degree, not linear

A: The given differential equation

Q: Consider two lines. Line L1 is defined by 1, and Line L2 is defined by y = 3x y = 2x + 4. A. Without…

A:

Q: Se-¹x² dx. е

A: Given query is to find the integral.

Q: Which of the function is not an exact equation of the first order? O A. (ey + ycosx) dx + (xey +…

A: To find the non exact equation.   Option c and d are correct

Q: Find the length of the curve. 1 10x³' y = 6 + X 2≤x≤4

A: y=x56+110x3,  2≤x≤4

Q: Question 29 If O O (OM dy O O j A. 5 - ly -5 ƏN ON) 1/2 = -5/201 əx y then what is the integrating…

A:

Q: write law of cosines.

A: Cosine rule:- The Cosine Rule says that the square of the length of any side of a given triangle is…

Q: If f(x) = f'(x) = = f'(4) = 3 tan x, then -sin(x) - 3 sec²(x) COS X >

A: we need to find out the derivative for the given function

Q: aluate the integral. [29 tan 29 tan 5x sec 4x dx

A: The given integral is  ∫29tan5xsec4xdx

Q: In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2     2. ƒ(x) = 1 - 2x3.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the limit of each of the following sequences, using L'Hopital's rule when appropriate. √n Vn+1

A:

Q: 1) Determine whether or not the following equations are exact

A:

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Here we can create the required polynomial function in the below steps.

Q: Which of the following is a non-homogeneous function? tan³y/x OxLnx-xLny O x³ − xy + y² (y² + v²)³/2…

A: homogenous function is f( tx,ty ) = t^n f(x,y) option a) f(x,y) = tan (3y/x) now,…