1. Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

Q: lim 0-0 cos 0 - 1 20²

A: SOLUTION-

Q: - Let 3x² + 1 13 10x - 7 ermine if f(x) is continuous at x = 2 by computing limit: f(x) = x 2

A: Given query is to find function is continuous or not on x = 2.

Q: 5 ft X 0 A pole stands 75 feet tall. An angle is formed when wires of various lengths of x feet are…

A:

Q: What is a suitable integrating factor that can be used to solve the equation dy cos(2x) = 0 O A. OB.…

A: To determine the suitable integrating factor that can be used to solve the equation.xdydx+2y-4xy-e-x…

Q: Obtain the differential equation whose general solution is y = ₁ + ₂³x A. B. |y" - 3y' = 0 D. E. 3y"…

A: Differentiate both side with respect to x

Q: A B C D lim /(x) = 0 x+2+ lim f(x) = 2 x →-2+ lim /(x) = 0 x+2- lim f(x) = -3 x--2 -5-4-3-2-1 Y -3-…

A: Find limit of function

Q: Given the plane л: 2x + y - 3z - 2 = 0, and the lines l₁: 2 - Z-4 y-1 x+1 x==¹=24 and ₂: *1 = y…

A: (b) Given two lines l1: 2-x=y-12=z-43 write it in standard form…

Q: Consider the nonlinear equation  e^x + sin x = 4.  (a) Apply two steps of the Secant Method (by…

A: Note: As per the honor code, the question with one only method can be solved. Please post the…

Q: dy What is the IF for solving the linear equation: x + = C0SX,x >0 dx 2 O O O O A. B. D. E. MIN 3x 2…

A: To find IF

Q: 7x - 4 3 – – 4x 4x² dx

A:

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 OA. 4 OB.…

A:

Q: 2. Consider the graph of a function. do not need to show any work for this problem. y 5+ 4+ a. 3 2 1…

A: from the graph  we find out removable discontinuity

Q: A solid lies between planes perpendicular to the x-axis at x = 0 and x = 18. The cross-sections…

A:

Q: If f(x) = 2x(sin x + cos x), find f'(x) = 2x cos(x) - 2x sin(x) + 2 sin(x) + 2 cos(x) f'(4) = |

A: To find f'(4)

Q: Use the Gauss-Jordan method to solve the following system of equations. 3x + 8y4z = 0 5x - y + 5z =…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is  augmented matrix is

Q: What is a suitable integrating factor that can be used to solve the equation dy dx A. e B. 3 ex D.…

A: To find Integrating Factor.

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

A:

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x₁

A:

Q: (7) sin √x dx. (First substitution, then by parts)

A: The solution for the given integral is as follow.

Q: (d) below. OA. OA. Let f(x)= O A. a. Find lim f(x). Select the correct choice below and, if…

A:

Q: Find all points where the function is discontinuous. OA. x=0 OB. x= -2, x=0, x=2 OC. x= -2, x=2 OD.…

A: Given query is to find the points wherw function is discontinuous.

Q: Another model for a growth function for a limited population is given by the Gompertz function,…

A: The givne growth function for the limited population is dpdt=clnkpp…

Q: Homework 3.2 For #1-6, differentiate. 1.y = xe* ex 2. y = ² x+2 3. f(x) = 3x+2 x²+5 x²-4 4.…

A: We can find the derivative of the given functions by using the following formulas.

Q: Which of the equations below is a second order nonlinear differenti A. 2 |x²y - (1 - dx)² = e ²x B.…

A:

Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

A: a) Assuming that the size of the fish population satisfies the logistic equationdPdt=rP1-PN

Q: The answer is incorrect

A: We have to find derivative value at the given x-value.

Q: Which of the function is not an exact equation of the first order? OA. (ey + ycosx)dx + (xe³ + sinx…

A: See this solution in below.

Q: Uranium-238 (0-23 has a hall-me of 4. and determine that 67% of the original U-238 remains; the…

A: We will find the age of rock.

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers…

A:

Q: The integrating factor (IF) of the equation y' - 2ycot2x = 1-2xcot2x - 2csc2x

A: Given, y'-2x cot(2x)=1-2x cot(2x)-2 csc2x

Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Given: To find: limx→2- fx , limx→2+ fx, limx→2 fx

Q: A central angle in a circle of radius 8 is subtended by an arc oflength 10pai. Find the angle’s…

A: Given: Length of arc, l=10π units Radius , r=8 units To find the central angle’s radian and degree…

Q: Suppose f f(x) dx = 25, f f(x) dx = 10, f g(x) dx = 10 and h(x) = 0 3 the following: a. (5f(x) 6g(x)…

A:

Q: Which of the following is TRUE about the differential equation x- dx O A. The equation is…

A: We have to find form of given differential equation.

Q: Find the derivative 1. y - 12 2. y = 8x³5x² of each function defined as follows. sredin 8² +1x + 5 -…

A:

Q: So the system of equations by using the inverse of the coefficient matrix if it exists and by the…

A:

Q: Give the implicit solution of y'=y=xy²e Oe-2x = y²(x²+c) O e ²x = y²-c O e²x = x²(y²-c) е…

A: We will find the required  solution of given differential equation.

Q: Which of the following equations is NOT an exact equation? OA. (2x sin y + y)dx + (x² cos y + x)dy =…

A: To find non exact differential equation.

Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

A:

Q: Evaluate the following integral using trigonometric substitution. x² 441-x² S dx

A: ∫x2441-x2dx

Q: The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35…

A: Here assume P(t) be the population of world in billions at any time t in years

Q: 5 5 Suppose ff(x) dx = 25, f f(x)dx s., $ f(x)d. 3 0 the following: a. 0 3 (5f(x) - 6g(x) + 4h(x))dx…

A: The basics of integration must be cleared in order to attempt this question. Rest of things are…

Q: If f (x) = x2 - 3x, find f (0), f (5), f (3), and f (-7).

A: Given data:- The given function is, fx=x2-3x

Q: 3 x dx + 5x² (4²5) ³ - dy4 Determine the order and degree of the differential equation, 3x - xy = 0.

A: Determine the Order and Degree of the Differential equation.

Q: Which of the equations below is a second order nonlinear differe O A. 2 dy |x²y- (1 - dx)² = e ²x O…

A: We have to choose the correct option from the given options according to the given information

Q: Which of the equations below is a second order nonlinear differential equation? O B. O A. 2 dy |x²y…

A:

Q: If f(x) = f'(x) = = f'(4) = 3 tan x, then -sin(x) - 3 sec²(x) COS X >

A: we need to find out the derivative for the given function

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB cot2x OC.Lnsin2x D.csc2x OE…

A:

Q: If F(x) = f(g(x)), where f(-3) = 5, f'(-3) = 2, f'(1) = 3, g(1) = -3, and g'(1) = 5, find F'(1).…

A:

Q: f(x)=4ln(4x+6ln(x)), find f'(x).   f'(x)=

A: Given query is to find the derivative of the function using chain rule.