Locate and classify all the critical points of the function. (If an answer does not exist, enter DNE.) g(x, y) = 3x² + x + x+4y²-y-1 (x, y) = -Select-

Q: Students in a mathematics class were given an exam and then tested monthly with an equivalent exam.…

A: f(t) = 75 − 15 log10(t + 1),  0 ≤ t ≤ 12

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find the directional derivative of the function at P in the direction  of the unit vector u=cos…

Q: Compute det A, det B, det (AB), and det (A + B) for -2 1 2 +*+ A = -3 -1 -4 4 −1 3 det A = det (AB)…

A: A=-212-3-1-44-13  B=2-3-4-1-3-3217

Q: (d) Let V be the vertical distance from the passenger to the ground. Express V as a function of 0.…

A: Let V be the vertical distance from the passenger to the ground. V = PQ + QR + RS    = 25tanθ + 25…

Q: Let f(x) = 4sin(x) for 0 ≤ x ≤ Find Lf (P) and Uƒ (P) (to the nearest thousandth) for f and the…

A: Functional value in Uf is taken as the greatest value of f(x) in the interval i.  Similarly, in Lf…

Q: the marginal profit (in millions of dollars per year) is given by P′(t) = 2t - te-t Find the total…

A:

Q: Integrate f(x,y)=√√4-x² over the smaller sector cut from the disk x² + y² ≤ 4 by the rays 0= and 0=…

A:

Q: Solve the right triangle. Round your answers to the nearest tenth.

A:

Q: In a certain environment, a colony of bacteria grows according to the model A=Aoe^0.31t, where A is…

A:

Q: Explain the difference between an indefinite integral and a definite integral. Choose the best…

A: We have to find what is true about the definite and indefinite integral among the given options.  We…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200…

A: Given that,  The volume of the cylinder = 200 cubic centimeters. The sides and bottom of the…

Q: 21 Find the gradient field of the function, g(x,y,z) = e² - In (4x² + 4y²

A:

Q: =-xi-jaroun j around and across the closed semicircular path that consists of the semicircular arch…

A: Given the field is:  F= -x2i-y2j We need to find the circulation and flux of the field F.

Q: Find the amount of money that will be accumulated in a savings account if $5860 is invested at 10.0%…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate √16.1 as follows: Let f(x)=√x. The…

A:

Q: find dy/dx Yztan √x + √x

A: Given equation,

Q: f(x) = x5 - 5x a) Find the critical numbers of f. b) Determine the intervals on which f is…

A: The given function is: f(x)=x5-5x

Q: Find the interval(s) 2 3x f(x) = is concave up. 4 7 where 3 X² - 2x² − 3x + 2 -

A:

Q: ength of the polar curve A² OSAS ATT 4π

A:

Q: Determine whether the following series converges or diverges. n=1 n 6 + Inn (-1)"-

A:

Q: Find a polynomial function f(x) with real coefficients that has the given zeros. (There are many…

A:

Q: Combine the given expression into a single logarithm with coefficient one: ½lnx + ln(x + 1) (x − 1)…

A:

Q: Consider the differential equation dy dx x 49y Find the equation of the solution through the point…

A:

Q: Let D = [1,3] x [1,2], compute f (x² + xy)dA.

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Complete the table to determine the balance A for $12,000 invested at rate r = 2% for t years,…

A: Invested amount (Principle), P=$20,000 Rate of interest, r = 2 % Compound continuously

Q: Evaluate the double integral where D is the region with vertices (1, 0), (1, 2), (1, 2) and (3,0).…

A:

Q: Consider the following. f(x) = x4 − 3x3 − 4x2 − 12x − 32 (a) Write the polynomial as the product…

A:

Q: If C is a circle of radius 8 centered at the point ( 0, 0), then evaluate f(7y - ein(e) dr + (10x -…

A:

Q: Find a plane containing the point (1, 1, 1) and the line of intersection of the planes 3x + 2y — 3z…

A:

Q: Sketch the graph of f(x) . At each point of discontinuity, state whether f is left- or…

A:

Q: 2. Find the general solution of: d²y dy +3 dx² dx - - 10y = 0

A:

Q: A If function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 4) Approximate (3²¹¹) dz with three trapezoids of equal width.

A:

Q: Find the amplitude, period, and horizontal shift of the function. y = 2 cos(x(x + ²)) amplitude…

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) √(x1.3 + 11x4.5) dx

A:

Q: Calculate the derivative X d 33 £1₁ (54²-1) ¹3 d 5t2 dx dt using Part 2 of the Fundamental Theorem…

A:

Q: 4-x 1. ffxy dy dx

A: let  V=∫04∫04-xxydydx

Q: A page that is x inches wide and y inches high contains 34 square inches of print. The margins at…

A:

Q: Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x) = g(x)…

A:

Q: Consider the function f(x) F(2) = Let F(x) be the antiderivative of f(x) with F(1) = 0. Compute…

A:

Q: Let f(x) = Σ n=1 Find the IOCs for f, f', and f".

A:

Q: Find the derivative of the function. f(t) = 9e³t + 7 f'(t) =

A: To find out the derivative of the given function.

Q: Given that ƒ"(x) = cos(x), ƒ'(π/2) = 4 and ƒ(π/2) = 6 find: f'(x) = f(x) =

A: f''(x)=cosxgiven  f'(π2)=4given  f(π2)=6

Q: using cofactors. HONT 14 2 10 0 00 1 2 0 0 -2 1

A:

Q: Use Descartes' Rule of Signs to determine the number of positive real zeros of the following…

A: By using Descartes's Rule of signs to determine the number of positive real zeros  of the following…

Q: Suppose that the inventory of a certain item t months after the first of the year is given…

A:

Q: ²*6²²y dy) dr 3

A:

Q: Use the given value and the trigonometric identities to find the remaining trigonometric functions…

A: Given cosx =- 37  &  sinx < 0 there is only a possibilty where  both cos and sin function is…

Q: A car is merging onto a freeway (beginning at rest), accelerating at a constant rate of 14ft/sec².…

A: Formula :          Acceleration = Speed Time  Now  1 mile = 5280 feet  and  1 h = 60 x 60 seconds…

Q: 0.2x Find the area between the graph of f (x) = eº. Answer: The area is Espacio en Blanco 1: + 2x…

A: