2 The demand for a certain portable USB battery charger is given by D(p) = -p + 2p +3, wherep represents the price in dollars. (a) Find the rate of change of demand with respect to price. (b) Find and interpret the rate of change of demand when the price is $15.

Q: 5. Write the trigonometric expression as an algebraic expression. Show all work. sin [sin-(x) + cos-...

A: The given expression,      sinsin-1x+cos-13x

Q: S4 – x – a2 if æ 5

A:

Q: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=...

A:

Q: f SinA Differential Equations 2. 10 A cos'x sin x dy + (y cos³x - 1) dx = 0

A:

Q: 22. Determine sin? y cos® y dy

A: Note that the reduction formula for ∫0π2cosnx dx=n-1nn-3n-2...231, if n is oddn-1nn-3n-2...12π2, if ...

Q: An average of 40,000 people visit Riverside Park each day in the summer. The park charges $15.00 for...

A: given that, number of people =40000 ticket price=$15 and for each $1 increase in price,the park woul...

Q: Exercise #2: Consider the function |3r - 4 I 2 Explain why this function is continuous everywhere. T...

A: Topic:- calculus

Q: (i) Let an Σ n cos A. Which test should be used? (enter upper case DCT for direct comparison test or...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Find the vector equation for the line of intersection of the planes 5x + 2y – 5z = 2 and 5x + 4z = 4...

A:

Q: 1+2x (a) f(x) = x² – 2r (b) g(x) 3 x

A:

Q: Find the infinite sum (if it exists): () -1· i=0 If the sum does not exists, type DNE in the answer ...

A: Given the series is ∑i=0∞ -1·32i

Q: (+++)" В. y C. y = 2x/x² + I

A:

Q: The profit made when t units are sold, t>0, is given by P =t - 26t + 168. Determine the number of un...

A:

Q: Sally can paint a room in 7 hours while it takes Steve 4 hours to paint the same room. How long woul...

A:

Q: Find A-5B. -7 9-4 6 - 6 B = 3 -4 -9 A= 3 -7 12 15 -10 A-5B% D 11 3. (Type an integer or decimal for ...

A:

Q: Determine the value of the literal numbers in the given matrix equality. C+D - 1 aarA 6C -D -34 D- 5...

A: Given query is to find the value of C,D,E.

Q: 9. y = Vr² (2x – z²)

A:

Q: * 00 Your answer is partially correct. Whooping cough was thought to have been almost wiped out by v...

A:

Q: Find the unit tangent vector, T (t) =??? r (t) 1) = (cos (t), 2cos (t), v3sin (t) V5 sin (t))

A: Here we will find the unit tangent vector T(t),

Q: 3.2 2. 3t (t 8-4れt。75 ニ

A:

Q: Find the volume of the solid bounded by the paraboloid z=2 +x2 + (y - 2)2 and the planes z=1, x= -1,...

A: We are asked to find the volume.

Q: 2x sec(5x) tan(5x) dx can be evaluated using integration by part The integral expression udv =uv the...

A:

Q: 6. Evaluate the following integral: [sin 8x cos 5x dx

A:

Q: Y = w tan-1(uv), u = r + s, V = s + t, w = t + r when r = -1, s = 2, t = -1 1. as at ar as %3D

A:

Q: 1 %3D x+4 -and g(x) =x-3' 2 %3D 7. For the function f (x) = Find f og. a. b. State the domain of f •...

A:

Q: Solve the initial- value problem: 1: xdy =0 ; y(1) =- xcos ( /x)-y dx + 4

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

A:

Q: 3. f(x)=2cos(x-90°)+1 Amplitude: f(x) Period: Vertical Shift: Phase Shift Start: End: Increments:

A: Topic:-  function

Q: Suppose we know that the points P (0, -1, -1), Q(1, 1, 4), and R (2, -4, 0) form a triangle in 3-spa...

A:

Q: Consider the indefinite integral r523 + 2х? — 72х-32 2x2 – 72x dx 16 - Then the integrand decomposes...

A: Evaluate definite integral ∫5x3+2x2-72x-32x2-16dx

Q: For the curve given by r(t) (-4t, 6t, 1 – 7t2), Find the derivative '(t) = ( -4 6 -14t Find the seco...

A:

Q: Find the slope of the tangent line to the curve 4x2 3xy 2y 168 - at the point (2, 4).

A:

Q: 10. Solve for the derivative of y IMPLICITLY 22 + Væ³ + 2y= y²

A: Note: According to our expert guidelines only first individual question is to be answered, kindly re...

Q: 4 and y(4) 10, find y'(4) by implicit differentiation. If 2x + 3x + ry

A: We can perform the implicit differentiation to find the answer as below.

Q: The integral expression 2x sec(5x) tan (5x) dx can be evaluated using integration by parts of the fo...

A:

Q: Evaluate the integral. xex . (1 + x)2 xp

A:

Q: Perform the indicated operation and write the result in standard form. Select all values that are co...

A:

Q: Evaluate the following limits: z² + 4z – 12 z² – 2x 3. lim

A: 3) To evaluate the limit: limx→2x2+4x-12x2-2x

Q: 4. Find the volume of the solid generated by revolving the region bounded by the curves y = 2-x² and...

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves...

Q: 12. Determine the definite integral 7 sint 0 cos3 0 de

A:

Q: x-2| Find lim x2 x-2

A:

Q: Consider the series. 16 + + (-1) + (-)+.. Does the series converge or diverge? Select answers from t...

A: Please refer to the image below

Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population ...

A:

Q: X-1 2. Where is f(x)= discontinuous? x² – 5x+4

A: The given function is: f(x)=x-1x2-5x+4

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

A:

Q: Obtain the derivative of (2r²-1)* 8. у %3 (5-3х)4

A:

Q: Learning Goals: Graph quadratic tion. Use the graph of a parabola to obtain the represented quadrati...

A: Topic:- geometry  Note:- as per our guideline if more than three subparts posted than only first thr...

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: Find an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the definitio...

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the ta...

Q: A new car was purchased at a cost of $25,000. The car depreciates approximately 15% of its value eac...

A: