9 P cost D2 + 1 }; రె 2 cos²x T+a {

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5)…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: Find and graph the level curve of the function g(x,y)=x^2+y^2-6x+2y corresp

A: the answer is given in step2

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (12, 0) Vg(12, 0) =

A:

Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: Identify any holes in the graph off(x)= x=-=/ b. x=- x=-- a. 17 X+7 7x +49 C. x=7 d. x=-7

A:

Q: Use Properties of Exponents and Properties of Logarithms to simplify and the following expression…

A:

Q: (a) Find the averge value of f(x, y) = curves y = 0, y = x², and x = 1. xsin y over the region D…

A: Solution: f(x,y) = xsin(y)

Q: ₁ and w(x) = u(x). hod of reduction of order to find a second solution y₂(x) of the homogeneous…

A:

Q: 10. 2ste tds +(s²e-t - t)dt = 0

A:

Q: Solve the following ODES by Undetermined Coef D Ş 17 4X y - 16 y = 19.2 e + 60e, y(a) =ý (os. 4X -4X…

A:

Q: 2 Solve the following ODES by Inverse Operator method. (D²³+1) y = 3+²+52x Ans: y = c₁e²+ ¹² (C₂…

A:

Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

A:

Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: Use the graph of the function f(x) to locate the local extrema and identify the intervals where the…

A:

Q: Let f(t)= F"(t), with F(t) = 5t2 +t, and let a = 4 and b=7. Write the integral f f(t) dt and…

A:

Q: Ga. Draw a direction field for the given differential equation How do solutions appear to behave as…

A:

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. -1+x if…

A: In this question we have to find which graph is best for the given function.

Q: the function, do the following. f(x) = 2x  from  a = 3  to  b = 4   (a) Approximate the area under…

A:

Q: Find f(x,y) and fy(x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = In 5x4 +8x²y²| fx(x,y)=…

A:

Q: n zise me gebrac ve do chang Find the extreme values of the function and where they occur. y = x³ -…

A:

Q: Solve 4 sin x = 1.35,3.65 x = 3 for the four smallest positive solutions Give your answers accurate…

A:

Q: Given differential equation -3x yay"-4y' + 8y = e +8x² (D³ - 3D² 4D +8)y=e +8x2 Auxilary equation…

A:

Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: Find the inverse function (if it exists) of f(x) = ln (1-2x). If the function is not invertible,…

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: Find the area between the curves. x = -5, x=2, y = 2x² +5, y = 0 The area between the curves is…

A:

Q: ƒx(2x−1) dx 2 √x³√x²+4 dx

A: for (1),     ∫ x2x-17dx=∫ 128x8-448x7+672x6-560x5+280x4-84x3+14x2-xdx=∫ 128x8dx-∫ 448x7dx+∫…

Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: Solve the given differential equation. x²y" + 13xy' + 36y = 0 y(x) = ,X>0

A: The given differential equation is;  x2y''+13xy'+36y=0.

Q: Which of the following graphs is the correct plot of y=- 2 cos(x)? -5+ 3 2 -1 -3 -5 -3 -2 --2 -3…

A: Please see the below picture for detailed solution.

Q: (e) Find the linear approximation of the function f(x, y, z) = x³ √√y² + z² at the point (2, 3, 4)…

A:

Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√√x² + y² + z² (4,…

A:

Q: • У -ky = 19.2 2 + воё, усо) =ўс 4Х -ЧХ 4X Ans: Y = 22ë + +24xе X -Че

A:

Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

A:

Q: Evaluate the limits. If a limit does not exist, enter "DNE". You may use a GRAPH on Desmos or plot…

A: Here we have to use the concept of limit

Q: Match the differential equations and the description/s that is/ are true to the differential…

A:

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: Find the Laplace Transform of f(t) = 3e + 4t² - 2

A:

Q: 1) Solve the following ODES by Undetermined Coeff. ● 4X 11 X y - 16 y = 19.2 € + 60e, y(a) = y() -4X…

A:

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 3- W…

A:

Q: -y(2x+y) x(x+2y) - y'=-

A:

Q: Solve the following ODES by Undetermined Coeff 11 4X y - 16 y = 19,2 € + 60e, y(a) = Y(u). 4X -4X…

A:

Q: X: 1 2 Y: 2 4 3456 7 9 12 14 What is the correlation coefficient for variables x and y? a..950 b.…

A:

Q: 3. [x²cos2x dx

A: The given integral, ∫x2cos2x dx Note:    Multiple questions are given, we are answer only one…

Q: 3. Evaluate SIS 3z dV where E is the region inside both x² + y² + z² = 1 and z = E x² + y².

A:

Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…

A: The given curves are: y=6x-x2, y=-2x   Now find the point of intersection between the given curves.…

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

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: 3. The Downhill Ski Club is organizing a ski trip. Group tickets for the ski trip are priced at $20…

A: Given Price of ticket for first 100 skiers = $20 Discount in the price of ticket for skiers over 100…