Problem 2. A manufacturing company developed a mathematical model to predict its expenses as a function of two variables: f (x, y) = 4x° +y° -12x - 3y + 25 . Both variables, x and y are quantitative, and can only accept continuous values between –1 and 1, including those points*. *Note that this is equivalent to saying that the domain of this function is -1

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

A:

Q: Find k such that the function is a probability density function over the given interval. Then write ...

A:

Q: Sketch. the.region.cf.integratizin.and.evaluabe. thaw .. fallowing. integrals a ..... in2 Ins 2X-년 A...

A:

Q: Current Attempt in Progress Consider the parallelepiped with adjacent edges u = 8i + 8j + k v = i+j+...

A:

Q: (3x – 1)" 5" /n +1' Find the radius and interval of convergence of the power series n=1

A:

Q: Given arccos(r) = arccot(z?), solve for dz/dr %3D

A:

Q: If the following series converges, compute its sum. If not, enter "DIV" (unquoted). 9n 10" n=5

A:

Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: In Exercises 39-42, the velocity v(t) of a particle moving in the plane is given, along with the pos...

A:

Q: Consider the pair of savings plans below. Compare the balances in each plan after 13 years. Which pe...

A:

Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: 1. Simplify. a. 2168 3i-89 + 4i114 125 +21213 31-314 b. 597 4185

A: a.Solution :2i68-3i-89+4i114we know that i2=-1i3=-ii4=12i17×4-3i-22×4+1+4i28×4+22i17×4-3i22×4+1+4i28...

Q: Calculate the 5-unit moving average of the function. Plot the function and its moving average on the...

A:

Q: The number of new members joining MySpace each year in the period from 2004 to the middle of 2007 ca...

A:

Q: It takes  18 hours for 12 people to plant  4 hectares of rice field. In how many hours could 9 peopl...

A:

Q: Find the area of the surface generated by eY + e -y revolving the curve x - in the interval - In 5 O...

A:

Q: Solve (D5 – D4 + 4D³ – 4D²) y = 32 cos (2x) – 20e *

A:

Q: A police car is located 30 feet to the side of a straight road. A red car is driving along the road ...

A:

Q: If m and n are odd integers, then so is m · n.

A: We will use the definition of an odd integer to prove this statement.

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

A:

Q: The graphs of two functions are shown with the areas of the regions between the curves indicated. y4...

A:

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: | xf(x2) dx. If f is continuous and f(x) dx = 4, find

A:

Q: The radius of a spherical balloon is increasing at the rate of 0.7 cm/minute. How fast is the volume...

A: We have to determine volumes of sphere changing rate

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: 8

A:

Q: Consider the rational function y = - -1 when investigating and analyzing. Match the topic with the a...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A:

Q: Find a general solution. u"+21u 0 u(t) = ]

A:

Q: Using least squares regression criteria, find the line (form y = ax +b) that would be the best fit f...

A:   X Y XY X2 Y2   1 2 2 1 4   3 4 12 9 16   5 7 35 25 49 sum 9 13 49 35 69     X¯ =1n Σ Xi...

Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0) ...

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x) ...

Q: ctivity 2. Answer the following problems. 1. A child is flying a kite at a height of 40 ft, that is,...

A:

Q: 12. Given f(x) - -5Vx + 2 and g(x) = vx+ 6, what are the restrictions on the domain for th 12. Given...

A:

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

A:

Q: h(x1,x2)=x2e-x1 at (2,-1)

A:

Q: Use any method to find the relative extrema of the function f (x) = x +11r – 9. If there is no relat...

A:

Q: dx for 4xy - 5x + 2y3 = - 42, with the conditions dt = - 6, x=2, y= - 2. dt Assume x and y are funct...

A:

Q: the Cartesian coordinates of (2, -7/3). Then plot the point. I=r cos 0, y = r sin 0

A:

Q: Given the graph of the function below. Find the limit of the function as x approaches 3. * (3, 4) (0...

A: Given query is to find the indicated limit.

Q: y+y' +y =x +4x' +12x y-2y'+2y 2e" cos(x)

A:

Q: Find all the local maxima, local minima, and saddle points of the function shown below. f(x,y) = 9 –...

A: Given:   f(x,y) = 9 - 7√(x2 + y2 )

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3) ...

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A: The given expression,    35.4

Q: dy Find if y = In x5 + e-cos2x – In e?. dx dy 4 sin x cos x dy 5 es sin²x-cos2 x dx e cos2 x-sin? x ...

A:

Q: Use the compound interest formula to determine the accumulated balance after the stated period. $500...

A:

Q: (D³ – Dª + 4D³ – 4D²) y = 32 cos (2æ) – 20e-

A:

Q: Compute f'(a) algebraically for the given value of a. HINT [See Examples 1 and 3.] f(x) = -; a = 2 f...

A:

Q: f (x) If lim f(x) = 12, and lim g(x) = 3, what is lim Xc Vg(x) А. 1 В. 2 С.4 D. undefined The Limit ...

A:

Q: Evaluate the following: 1. S sin³ 4xcos³4xdx

A: 1.Solution : ∫sin34xcos34xdx123∫23sin34xcos34xdx123∫sin38xdx    2sinxcosx=sin2x123∫3sin8x-sin24x4dx ...

Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y...

A: