The humidity is currently 66% and falling at a rate of 4 percentage points per hour (a) Estimate the change in humidity over the next 20 minutes. (Round you. percentage points (b) Estimate the humidity 20 minutes from now. (Round your answer to one Additional Materials eBook

Q: What are the values of e ln 300

A: eln x=x

Q: Solve (a) and (b)

A:

Q: 3 In evaluating x(4- x)° dx,if we use the substitution that U=4-x, then what will the resulting inte...

A:

Q: An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the b...

A: Given: Volume=4 cubic feet. To find: The dimensions of the box.  

Q: -2 -1 tin 2.

A: Consider the given graph: As we know:x=rcosthetay=rsinthetaFrom graph:x2+y2=16rcostheta2+rsintheta2...

Q: Show that the first order differential equation (x + 1) y' - 3y = (x + 1)5 is of the linear type.Hen...

A: To solve x+1y'-3y=x+15; y=1.5 when x=0

Q: Find the indefinite integral.

A: The given indefinite integral is ∫6z9z2-25dz.

Q: Evaluate the integral, ∫ln⁡x/(x√((1+(ln⁡x )^2 ) )) dx〗

A: The given integral is: ∫lnxx1+lnx2dx To evaluate this integral, substitute lnx=t  ...(1) Differentia...

Q: L’Hôpital’s Rule does not help with the limits. Try it—you just keep on cycling. Find the limits som...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: find the general solution. 9y'' + 24y' + 16y = 0

A: To find the general solution  9y''+24y'+16y=0

Q: UESTION 8 Use the geometric power series Z t"= x2 if |t|<1, to find a power series for the function ...

A: (8)   Consider the function f(x)=x21-x3    f(x)    =x2 11-x3        By taking  t=x3 in the geometric...

Q: A concrete reservoir in the shape of a triangular prism is being filled with water at the constant r...

A:

Q: The number of research article in the prominent journal Physical Review that were written by researc...

A: The graph of P, P', and P''. We have to determine, to the nearest whole number, the value of t for w...

Q: Convert the Cartesian coordinate (5,-3) to polar coordinates, 0 << 2T Enter exact value.

A:

Q: Evaluate the integral, ∫(x^3+x^2+6x+7)/(x^2+4)^2 dx = ∫[(x+1)/(x^2+4)+(2x+3)/(x^2+4)^2 ]dx〗.

A: ∫x3+x2+6x+7x2+42dx=∫x+1x2+4+2x+3x2+42dx

Q: af 10x +11ly and = 11x. Which of the following is the best definition of (x,)) = If %3D Əx

A:

Q: Simplify each expression. In eSinx

A: It is known that natural logarithm ln x and exponential function ex are inverse functions to each ot...

Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

A:

Q: What is the area of the largest rectangle whose perimeter is 108 feet?

A: Let the  length of rectangle be L Let the breadth of the rectangle be B Perimeter of the rectangle i...

Q: Solve quadratic equation by factoring. 5x2 = 20x

A: The given function is 5x2=20x. Solve the above equation as follows.  

Q: Evaluate the double integral f(r, 0) dA, and sketch the region R. /2/ re dr de Jo

A:

Q: I hope you can help me to my assignment.

A: Dear students as per our rule in session we can only solve one question. Please post the other quest...

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) %3D х — 7х + ...

A:

Q: To find sin cos)- (금) and complete the right triangle belovw. We find that sin cos) = we let 6 = cos

A: To find  sincos-135 First let  θ=cos-135cosθ=35    

Q: 9) Use the second Derivative Test to find all relative extrema. f( x) = - (x + 2)°(x – 4)?

A: Find f'(x) and solve for x by putting f'(x)=0.

Q: Solve the trigonometric equation in the interval [0, 2?)Give exact value, if possible - otherwise, r...

A: Consider the given: 2cos2θ+15cosθ+7=022cos2θ−1+15cosθ+7=04cos2θ−2+15cosθ+7=04cos2θ+15cosθ+5=0 Let co...

Q: Solve absolute value inequality. -2 | 5 - x |&lt; -6

A:

Q: If m and n are positive integers and w = g(x"y"), then show that dw dw = my dy

A:

Q: If cos t = - 40 and if the terminal point determined by t is in Quadrant III, find tant cot t + csc ...

A: in third quadrant csc t is negativelet us calculate csc tby Pythagoras theorem in a triangle isH2=B2...

Q: Define the Limits of Function Values?

A:  Limits of Function Values: Let f be a function such that limx→afx=L  means for every  ε&gt;0 there ...

Q: Find derivative,

A:

Q: Solve (a),(b)

A:

Q: Evaluate exponential expression. 34/37

A: The given expression is 3437

Q: Describe the graphs of the equations x2 + y2 = 1

A: We have to draw the graph of equation: x2+y2=1 We know this is equation of circle which center is at...

Q: Find two real numbers x and y whose sum is 36 and whose product is as large as possible

A:

Q: Find the values of the parameter p &gt; 0 for which the following series converge.

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: The point P(x, y) is on the unit circle in Quadrant IV. If x = V5/3, find y. y =

A: x2+y2=1 In Quadrant IV, y is negative.

Q: An Example Where the ConversIes True State the contrapositive and converse of the Pythagorean Theore...

A: To Determine: An Example Where the ConversIes True State the contrapositive and converse of the Py...

Q: Express the product cos 7x cos x as a sum or difference.

A: The given expression is cos7xcosx

Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table...

A:

Q: Find the antiderivative of the given function Show all work. integral(square root of x/2 +2/ the squ...

A: Given :          ∫x2+2xdx

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.