Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v= (0, 6) %3D b =

Q: 5- 3x? Evaluate lim x-00 (2-x) (x+ 2) does not exist O NONE OF THESE -3 3 O O o O O

A:

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

A:

Q: Question Consider a continuous function f(x). The function has critical points at.x = -2, x = 2, and…

A: topic - application of derivatives

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A:

Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 30x² + 126x + 3 The…

A: First we find critical points then check absolute maximum values.  Answer is maximum value is 165 at…

Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

A:

Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

A:

Q: Question A vertical cylinder is leaking water at a rate of 5 m /sec. If the cylinder has a height of…

A:

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

A:

Q: Find an equation for the ellipse. Graph the equation. foci at (0, + - 1); length of major axis is 18…

A: We have to find the equation of an ellipse

Q: Fundamental Theorem of Calculus. The Fundamental Theorem of Calculus says: All of the statements are…

A: The given data is: The fundamental theorem of calculus says:

Q: 25. A hemisphere has a radius of 3 cm. Draw complete with labels the cross section with equation of…

A: the derivation of moment of inertia is given as follow but mass is misssing.

Q: Identify the inside function, u = g(x), and the outside function, y = y = (x2 – 6x + 9)2 u = g(x) y…

A:

Q: 1. Determine the absolute extrema of f(x) = (sin x – 1) cos x on 2' 2 if they exist, and identify…

A: Given:-f(x)=sinx-1cosx,        x∈-π2, π2f'(x)=sinx-1ddxcosx+cosxddxsinx-1…

Q: Use the Quotient Rule to find the derivative of the function. See Examples 4 and 6. 6t? - 5 f(t) :…

A:

Q: Integrate f(x,y) =x+y over the curve C: x² + y = 81 in the first quadrant from (9,0) to (0,9). %3D…

A:

Q: You are driving a car away from home. Your velocity​ (miles per​ hour) t hours after noon is given…

A: Given:       vt=-5t4+40t3-149t2+180t  Distance you drove between 1:00pm and 2:15pm is given by…

Q: H = 33(10VV - v + 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dv dH in…

A:

Q: 12. The next iterative value of the root of x² – 4 = 0 using secant method, if the initial guesses…

A:

Q: Suppose a person travels at a rate of 3 ft/hr toward the foot of a street lamp pole 64 ft high. The…

A:

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy…

A:

Q: e2x :dx /1– ex

A: Given:        ∫e2x1-exdx  substitute u=1-ex→dudx=-ex→dx=-exdu  use e2x=1-u2      =∫u-1udu Expand:…

Q: Given f''(x) = 25 sin(5æ) and f' (0) = 5 and f(0) = 4. Find f Question Help: Message instructor…

A:

Q: Find the slope of the tangent line to the curve at the point (1, 0).

A: Given, f(x)= x-x³ (1,0)

Q: x² sinh x dx

A: Let's find.

Q: Let f(r) = v5x +2. Using the definition of derivative at a point, %3| a. enter the expression needed…

A:

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

A:

Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The table shows the marginal cost for a company's product at various production levels. Marginal…

A:

Q: 6 Tangent Line. If p(x) = 5x² + 5x4 + 4 %3D Then the equation of the tangent line to the function…

A:

Q: = -x2-2x+2 and C(x) x2 + 0.5 = 4 C(X) R(x) 1 -2 -1 1 2 The profit, or the area enclosed between the…

A:

Q: 13 For the sequence an = n +1' its first term is its second term is its third term is its fourth…

A:

Q: Find the intervals on which f is increasing and decreasing. f(y) = sin y - y cos y on 2' 2

A: Find your answer below

Q: Suppose a person travels at a rate of 2 ft/hr toward the foot of a street lamp pole 62 ft high. The…

A:

Q: Find the directional derivative of f at P in the direction of a. f(r, y, 2) = xy + z²; P(0,3,1); a =…

A:

Q: Given f(x) = 9x2 4x + 11, find f'(x) using the limit definition of the derivative.

A:

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2…

A: The solution is given below

Q: 11T If 0 = then 6 sin(0) = cos(0) Give exact values. No decimals allowed!

A:

Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

A: The objectives to find when the rocket is raising and when the rocket is descending.

Q: 6. S (2x+3) dx (x2+3x-6)9

A:

Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: The given function is;  f(x)=-6x/(6x2+8).

Q: onding to the given vector equation. r(t) = (P -1)j+ 3tk, -1sts1

A:

Q: Write the following complex number in trigonometric form: - 2 + 2i

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Object Height. Suppose an object is thrown straight up from the ground. The height after t seconds…

A:

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: Integrals. Given that 0. -1 f(x) dx = -2, | f(x) dx = -1 and -5 f(x) dx = 8 -5 what is 2f(x) dx? O7…

A:

Q: Given the power series Σ 2 n A, x" n = 1 Use the technique that we covered in this lesson to force…

A:

Q: 2x 14x + 20X Limits. Evalute lim X-5 rounded to 4 decimal places x2 - 6x + 5 O 0.1333 O 1 O 0.5 O 2…

A: We can find the limit as below.

Q: Given the following differential equation y" - x?y = 0 After plugging in the appropriate power…

A:

Q: Find the particular solution: y" + 16y' = 0, when x = 0, y = 0, y' = 0, y" = 1

A: