B. (0,10) C. (-2,-1) D. (-1,3) IV. Problem Solving. Each problem in this part is equivalent to two (2) points. Kindly write only numeric answers; do not include the unit, 36. Use the properties of limits to evaluate the given below, 9 - x² lim x=3 5- Vx² +16 37. The sales of a certain merchandising company are on their bestselling item is being represented by the function 28x 1250 = (x)S 4x-375 Where S(x) is the number of sales of the of thei bestselling item, and x is the average price of their bestseller item. If the price of their best seller item gets unexpectedly large, at most how many units of it can they sell? Excellernce in Learning ExperieRce, *milation and Teaching Effectiveness we St6

Q: 8. Is the given point a Solution to this graph? (1,3) 1. -3 1- 3.

A: The solution of the given graph is at the point of intersection of the two lines.  

Q: Evaluate the iterated integral. cos(e) 3r2 sin(e) dr de

A: Given query is to find the value of the integral.

Q: Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential func...

A:

Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: Find your answer below 

Q: Consider the points A(3, –3, 3), B(4, –5,0), C(-3, –4, 0), and D(6, 2, –6). (a) Find the volume of t...

A: We have to find the volume and distance of given question 

Q: what is of point Fyl-2,0) fexsy)=(x3ーy+g)s

A:

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

A:

Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y no matter what value the constant k has...

A:

Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j+ 2k Find the v...

A:

Q: 3. Given the equation y = - 0.5 (x – 1)³ + 2 a) State the base/parent function: b) Use math words to...

A:

Q: conditions for each equation: d²x 2 dx (a) + x = 1 dt F(0) = F'(0) = 0 %3D %3D dt2

A:

Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

A:

Q: Find the local minimum and maximum values of the function below. f(x) = 3x4 – 12x3 – 168x2 + 7 - Sol...

A: First derivative Test for Local Maxima and Minima : Firstly , solve f'(x) =0 to find critical points...

Q: Given the curve y = (sin x)² 1. Compute the area bounded @ x = 0 to x = 2π.  a. π sq.units b. 2π sq....

A: Area of the bounded by the curve : If y=f(x) be an continuous function on a,b , then the Area bounde...

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e...

A:

Q: lim f(x, y) = 6, then f(1.9, 2.9) = 6- %3D (x, y) + (2, 3) If f(4, 5) = 3 Vf(4, 5) = (-3, 2) then f(...

A:

Q: S secºxdx ха

A:

Q: 45-48 Find the exact length of the polar curve. 48.r =2(1+cos 0)

A:

Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify...

A: Use tangent plane formula

Q: $.Evalnate. the fellawing.int.egral.s. .e र र्य I dxdydz. Ans.s.1. a.. 1. #14 In csecy) ,2Z b. ff é ...

A:

Q: Find the points on the curve where the tangent is horizontal or vertical. r = t - 3t, y = t?- 3.

A:

Q: Pls solve using Integrating Factors Found by Formulas: xydx - (x^2 + 2y^2)dy = 0

A:

Q: Given the equation y = cos(coshx)

A:

Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms o...

A: We can answer both the questions as below

Q: d²q (c) dt2 dq = t2 + 2t F(0) = 4 F'(0) = -2 %3D %3D dt

A:

Q: Write the equation of the ellipse 16x? + 9y? + 160x – 90y + 481 = 0 in standard form %3D (æ – h)? (y...

A:

Q: 10 respective An accessories company finds that the cost and revenue, in dollars, of producing x bel...

A: Given query is to rate of change of average profit.

Q: 1. Given the equation y = (elnx) What is y? Inx 2elnx 2x (2lnx)/x None of the choices

A:

Q: Approximate the sum of the series correct to within 0.00001. (-1)" n= 1

A:

Q: 4 sin (2x) dx cos (2x)t4

A:

Q: Find the area of the triangle with vertices P(1, 2, –5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the ex...

A:

Q: Approximate the sum of the series correct to within 0.00001. (-1)" Σ n6" n = 1

A:

Q: 5. The function f (x) = 2kx³ + 3x² + px – 3 has a local minimum at x = -1 and a point of inflection ...

A:

Q: Let A and M be n x n matrices. If AM = 31, then M-1 O is equal to (1/3) A is equal to (1/2) A O is e...

A:

Q: (a) Oppositely directed to v = (9, – 18) and half the length of v. w =|(?,?) (b) Length 5 and same d...

A:

Q: The region bounded by the curve x=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A:

Q: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

A:

Q: Find the area of the region under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: Let a = ci + j and b = 3i + 3j. Find c so that a and b are orthogonal. %3D C = i

A:

Q: sec (7x)tan' (7х)dx

A:

Q: MY NUTES ASK YOUR Use Taylor's Inequality to determine the minimum number of nonzero terms of the Ma...

A:

Q: Question 2 (a) The maximum carrying capacity of a park is 100 animals. Currently, there are 10 anima...

A:

Q: We want to fit v = k1 * exp(-k2 * u) to the data: (0, 1.95), (1, 1.28), (2, 0.70) by least-squares f...

A: Solution

Q: 2. Tell one Solution to this graph..

A: Given query is to find the solution of the graph.

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A:

Q: Find the sum of the infinitie geometric series. (If an answer is undefined, write UNDEFINED.) 64+56...

A:

Q: x+2 3. Use derivatives to determine where is the function f(x) = x²-4 is increasing and decreasing. ...

A:

Q: 3x°- 4x g(x) = 2 x' +2 Find the derivatives final should have no negative powers. answer

A: We have to determine above derivative 

Q: 1)State the order of each of the following differential equations d²y a) 22 + y = x dx - dx2 b) y' +...

A: The order of a differential equation is defined to be that of the highest order derivative it contai...