Q: 2. Find the area of the triangle with vertices (0,0), (3,1) and (1,2)
A:
Q: baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with...
A:
Q: Q5 Find a set of similar matrices to the matrix 2 0 3
A: Solve for the similiar matrix
Q: Q4 Define algebraic and geometric multiplicity. Show that algebraic multiplicity of the eigenvalue i...
A:
Q: Find the value of k such that the area of the region under the curve y = x(k – x), (0 < x < k), is 1...
A: Given: To find the value of k such that the area of the region under the curve y=x(k-x), (0≤x≤k) is ...
Q: 3 sec u du = ln | sec u + tan u + C
A: Given the function
Q: Use the rational zeros theorem to list all possible rational zeros of the following. f(x) = 3x° + 6x...
A: Given polynomial f(x) = 3x3+6x2-7x+7
Q: Find the equation of parabola with rertex at (0,0 and focus at (3
A: Given the vertex is at(0,0) and focus (3, 0)
Q: Solve: yv + 10yiv + 53y''' + 124y'' + 100y' = 0 a. y = C1e3xcos4x + C2e3xsin4x + C3e-2x + C4xe-2x +...
A:
Q: Find the derivative of y= log, (5x³)+log, (sin.x)
A:
Q: Solve the following Pfaffian differential equation (x?y – y3 – y²z)dx + (xy² – x³ – x?y)dy + (xy² + ...
A: Given : (x²y – y3 – y²z)dx + (xy² – x³ – x²y)dy + (xy? + x²y)dz = 0We need to substitute: x = uz a...
Q: In each of the following, find the area A(R) of the region R described below. O R is the region boun...
A:
Q: (b) Test if the points A = (5, 2), B = (-3, 3) lie inside, outside or on the circle (x-1)2+(y-5)² = ...
A:
Q: Solve for the particular solution of the differential equation 2xy = x² + y² with the given paramete...
A:
Q: Important aspects of the basic structure of a mature tropical cyclone can be deduced from two (2) si...
A:
Q: Direction: Choose from inside the box the corresponding parts of the given graph of a parabola. The ...
A: The solution is given below in the next step:
Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an a...
A:
Q: 26. (3 + y + 2y sin“ x) dx + (x + 2xy – y sin 2x) dy = 0. y sin 2x = c + 2x(3 + y + y²). ANS.
A:
Q: (3x²y-6x) +2y
A:
Q: Solve the differential equation (D² + 6D + 9) y = 16e 3z a2+1
A: Given that a differential equations and we find solution of this deferential equation. We know that ...
Q: Find the derivative of the function f(x) = 2I18) 8z 15 Answer:
A: Given query is to find derivative of f(x).
Q: (3x2y-6x) (x³+2y) dy dx 3.
A:
Q: 3. 2.m (ris, t)= e cos (25) y= h(ris, t)- e sini (s) %3D + そ人メ+ (てん「以) =1 け! ne Use chain rule to fi...
A:
Q: Determine whether the given differential equation is exact or non-exact. Then, solve for the solutio...
A: Given: To determine whether the given differential equation is exact or non-exactand solving the sol...
Q: Topic-solution of system of equations 2y-x=8 x²-y²-4y=20
A: For solution of the system of equation we will make subject to any single variable in the first equa...
Q: A person holding a ball is on top of a building. The person jumped at the rate of 1 ft/s while dropp...
A: For finding out the height of the building write the relationship between height, time and initial v...
Q: rove that the given first order ordinary differential equation (2x – y) dx – (x – 2y) dy = 0 is an e...
A:
Q: 2 (3г — 1) V 32? — 2х +3 dx -
A:
Q: Calculate BA where A and B are the following non-square matrices: 1 3 1 0 3 A = B = 2 %3D 2 1 5 2
A:
Q: H) (3x² + 4x – x' – 2x' – 4) + (x+ 2) 0) (2x³ – 2x² + 4x² – 3) + (x + 1) P) (-x* + 2x – 2x - 3x + 1)...
A: we have to divide
Q: After t years the value of a car that originally cost $28,000 is given by V(t)=28,000(0.75)^t A) use...
A: Given the value of a car after t years is V(t) = 28000 (0.75)t
Q: 27. xy +y=e. y(1) = 2
A:
Q: the radios of a circle is increasing uniformly at the rate of 3 cm/s.Find the rate at which the area...
A:
Q: [2 Let A= 1 -2 -1 Find A-1 [2 3 Example(14) (H.W) -1]
A: Ti find the inverse of the given matrix A, where A=2301-2-120-1 Here, note that the inverse of the m...
Q: Paove that b the total ditfesential equation Po) de +Q d y + R)d2=0N Integaable it and only it dR-dp...
A:
Q: Please explain how to solve.
A:
Q: (a) Find the Maclaurin series for f(x)= sin ax and f (x) = sec bx
A: Maclaurin series is Taylor series at a=0. So that we will follow the same procedure as Taylor series...
Q: Consider the function f(x) = x² – 3x + 5. Out of all the many tangent lines of f (x), determine the ...
A:
Q: The differential equation dy 1+ arises in the study of the shape of the path that a pursuer, travell...
A: The answer is mentioned below:
Q: Problem 03: Find the particular solution to the differential equation y' + ytanx = sin2x with the gi...
A:
Q: Compute for the derivatives of the following functions using logarithmic differentiation. 1. r(0) = ...
A: Given rθ=cscθπθ
Q: EVALUATE -dx + 144 ,2 O x – 12tan-1 12 none 1 -sin' 12 x – -1 +c 12 O x – tan-1 12
A: We have to evaluate ∫x2x2 + 144 dx. We know, ∫1x2+a2dx = 1atan-1xa + C (where C is constant o...
Q: -3z (D² + 6D + 9) y 16e x²+1
A: Left hand side quadric equation will be use for solving or extracting the roots. Which will give ris...
Q: 1 Estimate the area under the graph of f(x) over the interval [2, 4] using ten approximating rectang...
A:
Q: An open-topped box can be made from a sheet of aluminum measuring 50 cm by 30 cm by cutting congruen...
A:
Q: Unlimileu allCI Suppose z and y vary together such that y = 2x + 9. a. Suppose z varies from z = 3 t...
A:
Q: the radios of a circle is increasing uniformly at the rate of 3 cm/s.Find the rate at which the area...
A:
Q: The radius of a circular oil slick on the surface of a pond is increasing at the rate of 15meters/mi...
A:
Q: sec u du In sec u + tan u + C
A:
Q: 2. Prove that the given first order ordinary differential equation (2x – y) dx – (x – 2y) dy = 0 is ...
A: A detailed solution is given below
Step by step
Solved in 2 steps with 1 images
- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?What is the purpose of the Intermediate Value Theorem?5. Consider the function f(x) = |x| + 2 at x = 0. Provide a table of inputs and outputs that demonstrate the limitdefinition of the derivative, numerically
- Suppose f is continuous on an interval containing a critical point c and f 1c2 = 0. How do you determine whether f has a local extreme value at x = c?Consider the function ƒ(x) = x3. Where is the critical pointof ƒ? Does ƒ have a local maximum or minimum at the critical point?If f(x,y) = 8-2x3-6xy-3y2, locate the critical points of f and use 2nd derivatives test to find the saddle points/relative extrema of the function f. If x = (r-3)cos(s+1) and y = (r-1)/(r+s), using chain rule, find ∂f/∂r when (r,s) = (2,-1).
- Find the critical points for the function: f(x,y)=x3+y3-9x2-48y-3 and use the Second Derivative Test to classify each as a local maximum, local minimum, saddle point, or none of these.Find the critical numbers of the function f(x) = 4x - tan xThe functions f(x, y) = x 2 + y 2 and g(x, y) = x 2 - y 2 both have acritical point at (0, 0). How is the behavior of the two functions at the critical point different?
- construct a suitable Liapunov function of the form ax2 + cy2, where a and c are to be determined. Then show that the critical point at the origin is of the indicated type. 2.dxdt=−x3+2y3,dydt=−2xy2; stable (at least)dxdt=−x3+2y3,dydt=−2xy2; stable at leastLet g(x, y) = In x + 2 In y - x-8y . Find the critical points. use the second Derivative Test to determine if the critical points are relative minima, maxima or saddle points. Show all of the stepsThe oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells in the blood. If S = k(H) = aHe-bH for positive constants a and b, with domain (0, infinity) and k'(H) = ae-bH(1-bH) 1. Use the definition to find the only critical point H1 of k on its domain. 2. Use a number line and the first derivative test to show that the oxygen supply is maximised at H1.You have to explain how you determine the sign of the first derivative on every interval. 3. What is the maximum oxygen supply? 4. How does increasing the value of the constants a and b in the same proportion change the maximumvalue of S? Please answer 3 and 4