ne spread of a virus is modeled by V(t) = -t³ + t² + 12t, nere V(t) is the number of people (in hundreds) with the virus and t is the number of weeks since e first case was observed.

Q: How 2 Find the absalute maxima and minima for the funchion 3 2. f(x,y) 48xy -32 x-2u yen the…

A: since f(x, y) is a polynomial, it is continuous overthe given rectangular region D.So, f(x, y) has…

Q: tiven the tunction Dn)=(n-5Xhta)(n-3): the coordinates of its P-intercert are, the coordinater of…

A:

Q: geometry to evaluate S V4 - x dx. -2

A: Given : integration gives area under the curve.  let  y=4-x2      y2=4-x2   x2+y2=4   x2+y2=22it is…

Q: Two water tanks are being drained at constant rates. • Water tank A has 220 gallons of water and is…

A: Given  Tank A has 220 gallons of water and drains at constant rate of 5 gallons per minute Tank B…

Q: Profit The revenue from sales of x units of a productis given by R(x) = 600x - 0.01x2, and the cost…

A: The revenue from sales of x units of a product is given by R(x) = 600x - 0.01x2And the cost of…

Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; x = 0, y = 0, y = -1, y = 2 Particular…

A:

Q: y=4+2x-x^2 y=4-x the line of y=1 solve in washer method  show me the graph and work

A: The graph is shown below:

Q: Integrating Factor by Inspection b)y²(xdx + ydy) + (x² + y²)(ydx – xdy) = 0

A:

Q: X1[n]= {-1, 2,0,1} X2[n]={3,1,0, -1} Find convolution using: • Graphical method

A: given X1n=-1,2,0,1X2n=3,1,0,-1 to find the convolution 1) using graphical method yn=x1n*x2n where…

Q: Chain rule y= 1/(2x + 5)3

A: Using chain rule we have to evaluate the derivative of the following -  y = 1(2x+5)3

Q: Using Rationalizing Substitution x+1 -dx = y² + 4y+ 4in(y-1) + C. express the final answer in terms…

A:

Q: Using integration by parts technique, 8x e8 dx = -8x e- + 8e-ª + C 8x e- + 8e- + C ,8x + C 8 x e°t +…

A:

Q: Reverse integration

A: Consider the integration

Q: Solve it using all three methods (a) Undetermined Coefficient (b) Variation of parameter (c)…

A:

Q: ese coconuts. Nȳ is hard to get in this case because N is hard to count.  How can the total amount…

A: extract grams (x)  original grams (y) 1 73 100 2 68 118 3 91 141 4 114 168 5 73 127 6…

Q: cx + dy - f(x, y) = ; P(3, 4); u =i+ x - y

A: Given that  f(x,y)=(cx+dy)/(x-y) P(3,4) and u=(4/5,3/5) To find the directional derivative of f at p

Q: Find the General solution using variety of parameters. y′′′=12

A: The given differential equation is y'''=12. Integrate three times to get the general solution as…

Q: Eliminating pollution If the pollution of Lake Erie were stopped suddenly, it has been estimated…

A: To find: The number of years would take to clear 50% of pollutants. Given: The level y of pollutants…

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A:

Q: finid the Geneal solution EX- Sm x

A: Please see the explanation below

Q: Earthquake Movement. The horizontal movement of a point that is k kilometers away from an…

A: Remember to use arctan in radians.

Q: s2 Y(s) : Find y(t), also what is y (0)? s3-2s2-s +2

A: Given :- Let Ys = s2s3 -2s2 -s +2 To determine :- find yt and the value of y0.

Q: 105. Blood pressure. For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood…

A: The point of maximum of the function is obtained by differentiating the function and equating it to…

Q: Effect of Gravity on Jupiter If a rock falls from a height of20 meters on the planet Jupiter, its…

A:

Q: You are taking a trip from Olongapo to Zambales. While travelling your car is behind a truck going…

A: CLAIM: YES I will attempt a overtake              YES, I will overtake.   EVIDENCE: speed of the car…

Q: Using convolution theorem, find 2s L-1 (s² + 4)² J

A:

Q: 2) Theorem 6. Va E N,a.0 =0.a = 0.

A: At first we will assume the proposition to be P(a) then we will show that P(1) is true. After that…

Q: y''-y=x using variation of parameters what is the complementary solution yc?

A:

Q: Find the overlapping area of two equations also give its geometrical representation: u2 + v2 = n ,…

A: Given curves are                                                              u2+v2=nu2+v-n=1n=744…

Q: (b) Find the residue of f(z) = 2²-32 at z = 2i. z²+4

A: (b)

Q: Acceleration The velocity of an object is v(t) 0 <t < 6, where v is measured in meters per second…

A: Differentiation is the rate of change of some variable with respect to the other variable.…

Q: Find the overlapping area of two equations also give its geometrical representation:…

A:

Q: Sales The rate of change of sales of a new brand of tomato soup (in thousands of dollars per month)…

A: Given:Rate of change of sales is :S't=32t+1+3To find: Total sales after 4 months

Q: An object moves along a line so that its velocity at time t is v(t)3t -30t+48 feet per second. Find…

A: Total distance travelled is integration of absolute value of (3t^2-30t+48) from -1 to 10.

Q: PARTIAL Solve the following. If z = In(x² + y²), find a²z, azz əx² ' ay² ax2 2.

A: ∂2z∂x2+∂2z∂y2 where z=lnx2+y2

Q: 3 9 dx dt -1 -3 with x(0) 4 2. II

A:

Q: If x(t) = e-"u(t) and h(t) = e-$'u(t), the y(t) will be:

A:

Q: Example: Use RK method to solve y' = y, h=0.1, y(0)=1 calculate error use n=1

A: RK method is the Runge Kutta method used for solving differential equation. Runge Kutta methods are…

Q: Evaluate d³yd¹y + dx5 dx4 - 6 d³ y dx³ = 0 =

A:

Q: 6. A projectile is fired from a cliff600 feet above the water at an inclination of 45° to the…

A: The height h of the projectile above the water,H(x)=-32x23602+x+600where, x is the horizontal…

Q: overlapping

A:

Q: 19. Malia walked across the center of a circular field, as shown below. Malia walked at a speed of…

A:

Q: The velocity of an object is v(t) = 50 – t2, osts 6 where v is measured in meters per second and t…

A:

Q: Using √√x + 1 √x-1 express the final answer in terms of X. Substitution Rationalizing dx = y² + 4y+…

A:

Q: Y"'-y"+y'-y=xe^x-xe^-x+7 by using  Variation of parameters  methode

A: first, we will find the values of y1 and y2 by equating the equation equal to 0 we get…

Q: using variation of parameters answer the following for the DE: y''-y'-2y=4x^2 A). What is W1? B)…

A:

Q: Profit The revenue from sales of x units of a productis given by R(x) = 200x - 0.01x2, and the cost…

A: The revenue function is given by R(x)=200x-0.01x2 Differentiating R(x) with respect to x, the…

Q: on

A:

Q: 6. Advertising revenue for newspapers in the United States for the years 1980 through 1999 is…

A: The revenue from the newspaper is a function of time. The expression for the revenue in terms of…

Q: 3. S1(0.1) = 2.4, S2(0.1) = 0.

A: For the given question option 3. S1(0.1)=2.4 S2(0.1)=0 is true. We first write the formula of first…