The Second Gate As you move through the first gate, you can see another gate not far in front of you. You approach the second gate and your computer reads: "There are 2 values for which the below function does not exist. The passcode is the limit of g (a) as a approaches the smaller of these two values." 9(x) = 2+3 ²-9

Q: 7. Determine the values of real numbers and such that y=+b√xhas a minimum value of 5 at x=4.

A: y=a/sqrt(x) + b sqrt(x)Find values of a and b.

Q: Point-masses m, are located on the x-axis as shown. Find the moment M of the system about the origin…

A: We find the moment M of the system about the origin and the center of mass X.

Q: Radioactive Decay Phosphorus-32 (P-32) has a half-life of 14.2 days. If 500 g of this substance are…

A: Given:Half-life of Phosphorus is 14.2 daysThe initial substance was 500 gmFormula Used:Initial…

Q: Use Newton's method to find the point of intersection of the graphs of f(x) = tanx and g(x) = 1 - 3x…

A:

Q: K- The concentration of drug in the bloodstream immediately after an IV bolus dose is given is found…

A:

Q: Calculate the iterated integral. (y + y² cos(x)) dx dy - 5 rπ/2 J-5 Jo

A:

Q: Explain how you would work out the derivative of the tangent function starting from the identity tan…

A:

Q: Find the midpoint rule approximations to the following integral. 11 √x²₁ x²dx using n = 1, 2, and 4…

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A:

Q: Find the volume of the region between the cylinder z=2y and the xy-plane that is bounded by the…

A:

Q: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…

A: Dear learner, I can solve only three subparts as per our guidelines. Further can be reposted. thanks…

Q: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining…

A: Given that degree of polynomial is 5 and whose coefficients are real numbers.

Q: 8-. Show y = ³ + 3x + 2 satisfies the differential equation y" + xy" - 2y = 0.

A:

Q: Find a function f and a number a such that f(t) [ * t6 f(x) = 0 a 2+ a x - dt = 4x -2

A:

Q: The masses m, are located at the points P. Find the moments My and My and the center of mass of the…

A:

Q: Sketch the graph of the function. (Select Update Graph to see your response plotted on the screen.…

A: x03.5y02.8

Q: For the following vectors, find w+ 2v - 3u: u = , v = , w = O O O O

A:

Q: Differentiate. All the answers must be brought to their simplest factored form possible AND in terms…

A: NOTE: Refresh your page if you can't see any equations..Take derivative.Use the derivative rule:

Q: 4. Determine the absolute and local extreme of each function on the given interval. a) f(x) = 2x³…

A: The given functions

Q: 2- A. rectangular field adjacent to a river is to be enclosed. Fencing along the costs 5$ per meter,…

A:

Q: Answer the questions and provide examples as instructed: 1. In what situations would you want to…

A: Generally one will be simpler than the other. If you are integrating over a sphere or a cylinder,…

Q: Truck Rental Company Y rents out a moving truck for one day by charging $25 plus $0.07 per mile.…

A: If the rate per unit is  then the rate per units is .

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: Find critical points by setting both partial derivatives to zero and solving for x and y:

Q: Find the 24th derivative of J sin2x. Enclose arguments of functions in parentheses. For example, sin…

A: The given function is .The objective is to find the .Derivative formula:

Q: - 3. For the function y = 2(x + 5)² – 3, the range is a. b. {y E Rly ≤ −3} {y E Rly ≥-3} c. {y E Rly…

A:

Q: f(x) = ax² + bx + 3, 1 2bx + 13a f(-2)=1 six −2

A:

Q: A weight is hung from a spring and set in motion so that it moves up and down continuously. The…

A:

Q: (1) { Y(t) = √√2-t. Find dz t=1 for 2 = F(X,Y) = 3x³-4y² de Define X(t) = 2t³ evaluated at +10. Show…

A: Given that  ,

Q: For each row in the table below, determine the missing entries for the given trig function. SPEED…

A:

Q: 4) Let g(x, y) = x³ - 3xy - 6y. a. Evaluate Vg b. Evaluate 9xy Find the critical point(s) of g.

A:

Q: Each unit of a product can be made on either machine A or machine B. The nature of the machines…

A: We can solve the given problem by using the Lagrange multiplier method.

Q: Diagonalize the following matrix, if possible. 49 - 1 10

A: The Matrix is given by÷

Q: Suppose Evaluate the definite integral by interpreting it in terms of signed area. [*ƒ(2) dz = |…

A:

Q: Direction: Test for the Homogeneity and state the degree of the following functions.

A:

Q: 6-Use the algorithm for curve sketching to sketch the following:( Show all steps) Y = -10x³ + 3x² +…

A:

Q: Sketch the region of integration and change the order of integration. √x 1³ [VER f(x, y) dy dx f(x,…

A:

Q: Use the graph of y = f(x) to graph the function g(x)=2f(x-4) + 3. y = f(x) Ay ob 6 4 di S X

A:

Q: How long will it take $4,000 to grow to $8,500 if the investment earns interest at the rate of 11% /…

A:

Q: Find the amount of the following continuous money flow. Round the answer to the nearest cent. R(t) =…

A: Here we have given:The formula for the accumulated amount of money flow at time T is:where is the…

Q: Find the transpose of the matrix. 46 0 -1 9 4 -1 5

A:

Q: 1. Differentiate. All the asnwer must be brought to their simplest factored form possible AND in…

A:

Q: 2. Find the area under the curve y = 1/x² from x = 1 to x = 4. Sketch a graph of the region.

A: Given a = 1 , b = 4  ,

Q: SSR 3XYLA is the region the 2 Bounded by Y=2-X, Y = 0, and x=4-y ² first quadrant a) sketch R on an…

A:

Q: Use the formula к(t): k(t) = = ||r' (t) ||³ r(t) = esti + e-tj to find k(t).

A:

Q: 2 2 5,₁³ 5₁² (y² + y) axdy

A:

Q: Find an equation of the line where the planes Q and R intersect. Q: -2x + 3y-z= 1; R: x+y+z=1 Choose…

A: -2x+3y-z=1 andx+y+z=1

Q: Write the equation of the ellipse that is centered at (-2, 4) and contains the following points:…

A: We know that the equation of ellipse general form(x-a)^2/a^2+(y-b)^2/b^2=1

Q: The position of a particle as it moves horizontally is described by the equation - 2 sint cost. Find…

A:

Q: The point (3, —4) is a point on the terminal side of an angle in standard position. Use this…

A:

Q: 9- A box with an open top is to be constructed from a square piece of cardboard that is 3 m wide, by…

A: