The rate of change of the population of Calcville can be modeled by the function P'(t) = 13.4e0.04 where t is the number of years since 1960. In 1980, the population of Calcville was 541652. Find the function P(t) that models the population of Calcville: P(t) = Estimate the population of Calcville in the year 2020:

Q: 8. On a warm day, the temperature of a room is 23°C. A biological sample is taken from cold storage ...

A:

Q: dx Evaluate J 2/4+x²

A:    ∫1x24+x2dxLet x=2 tan u.=∫secu4tan2udu=14·∫secutan2udu=14·∫cosusin2uduLet v=sin u.=14·∫1v2dv=14-1...

Q: Find Is, Iy and I, for the area enclosed by the loop of y? = x²(2 – x) %3D

A:

Q: Find the vector component of v = (4, 7) along b = (2, 6, –9) and the vector component of v orthogona...

A:

Q: polygons and cırcles. 3. Given an equation of a circle, determine how to find a point on the circle....

A:

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A:

Q: Determine whether the series converges or diverges. ∞ ∑                                         2...

A: Given query is to find series converges or diverges.

Q: 2. Fill in the following blanks and graph the following function: y= 2 sin x - 4 a)amplitude, b) ref...

A:

Q: A. Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector...

A: To find out the unit normal vector to the surface at the given point.

Q: (Q.2) Describe how to use the weighted residual method (2-term polynomial approximation) and write d...

A:

Q: 4. What is (Cos (x²)} dv 5. What is (tan x³) dx 6. What is (In x)7 dx

A: To find out the derivative.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. ...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 Eu. (v x w)| to determine ...

A:

Q: Find f'(x) if eſ(x) = 1 + x². f'(x) = 2x(1 + x2) f'(x) = 2x(e1+**) Option 1 Option 3 2x f'(x) = 1+x2...

A:

Q: Consider the parallelepiped with adjacent edges u = 6i + 6j + k v = i+j+7k w = i+ 4j + 3k Find the v...

A:

Q: Definite Integral Instruction: Answer the following. Show all your solutions. 3. sin xdx (1 + w)(2w ...

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫sinxdx=-cosx+C   From the given integration; (...

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 3j+k as adjacent sides. NOTE: Enter t...

A: Topic = Vectors

Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

A:

Q: A child is flying a kite at a height of 40 ft, that is, moving horizontally at a rate of 3 ft/sec. I...

A: Given:      Height of kite =40 ft      Rate of moving kite =3 ft/sec      Length of the string relea...

Q: How Find 32¢,32¥ ana E and d2f fer the functions: xre ahe |- Rex,y) = = tan (メャッ) 2- fCx,y) = xy + c...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: a)Solve the following IVP: d^2y/dt^2 − 4(dy/dt )− 5y = 0, y(1) = 0, y′(1) = 2

A:

Q: Hiw.r provethat D2f +32f= y=o far the functionel xe -2y Coos 2X %3D

A:

Q: da at I = –1if y = – 1² + 2 and dt dy dt 2. Find da dt

A:

Q: Use the areas shown in the figure below to find the following. y = f(x) Area =0.7 Area =15 a Area =2...

A:

Q: xf (x² )dx if / fx)dx = 5. Find Enter the exact answer. f(x² )dx = -2

A: find ∫-20xf(x2)dx  

Q: Express the integral in terms of the variable u, but do not evaluate it. 7x/10 – x? d; u = 10 – x² N...

A:

Q: find the range of the function f(x,y) given the function and domain. f(x,y)=x/y, D={(x,y): 0x}

A:

Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→- v...

Q: Derivative of h(x)= (x+5)^4(2x-1)^2

A: Given query is to find derivative of the expression.

Q: 3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and th...

A:

Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: dy If y = x* then dx

A: This question can be solved by applying the concept of logarithmic differentiation.

Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and b is %3D %3D Round your answe...

A: Solution is written in below steps.

Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: G(t), of the function g(t) = (2n?t? - t)V2n2 – t?. %3D

A:

Q: The Range of y = V9- Vã /x is

A: The function y= √(a-x) is valid for all real     x ≤ a and range of this function is [0,√a]

Q: 0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the vector component of v = (4, - 1, 7) along b = (3, 6, -6) and the vector component of v orth...

A: This question is based on Use of Dot product and cross product.

Q: Given the differential equation and its initial conditions y" - y' 2y 0 with y(0) = -2 and y'(0) = 5

A:

Q: Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is. Round your answers to f...

A:

Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6, 3, –5). (a) Find the volume of ...

A: Volume of parallelepiped

Q: У7" — 1)" (10.х n=0

A:

Q: dy Find , for the implicit function 7 x²y³ + 2 x² = 3xy. dx

A:

Q: A. Elimination of Arbitrary Constant Eliminate the arbitrary constants (1) y = (c + c2x)e* + 2x - 4

A:

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4...

A: Given function, y=x3-4x+2Diferentiate w.r.t. xdydx=ddx(x3-4x+2)dydx=3x2-4dydx(x,y)=(2,2)=3(2)2-4dydx...