The graph of f(x) below has a hole when x=_ and y=

Q: Degree of homogeneity of the functiom f(x,y) = (x²-4y²)^-1/2

A: To find the degree of homogeneity of the function.

Q: Which of the following equations can be made into a linear differential equation? OA. (x² + xy)dy -…

A: Option D

Q: A mathematical model for the average of a group of people learning to type is given by N(1) (2 hours…

A:

Q: 5 (lx-21-4) dx

A:

Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D. 4 E. None of the Choices dy dx…

A: Find integrating factor of linear differential equation

Q: Obtain the differential equation whose general solution is y = C₁ OA |y" - 3y' = 0 OB. 3y"-y' = 0…

A: Given query is to find the differential equation.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² + y² lim (x, y)-(0, 0)…

A: Given:- limx,y→0,0x2+y2x2+y2+81-9

Q: Let z=xy/(5x^2+4y^2). Then:     ∂z/∂x =     ∂z/∂y =

A:

Q: define power function.

A: Power Function:- A power function also called an exponential function is employed frequently in…

Q: Consider the parallel piped with adjacent edges π = -2 ²²³ + 3√² + R²³₁ V² = ² + 3√² + 3K² and W =…

A: To find volume of parallelepiped.

Q: Evaluate the following integral. 4 ex S- 2x 9- e -dx

A: See this solution in below.

Q: The Cartesian coordinates of a point are given. (a) (b) (4,-4) (i) Find polar coordinates (r, 0) of…

A:

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

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Q: Perform the indicated matrix operation, if possible. - 2x+2y -5x + y - 10x + 8y 4x-3y 4x-7y 2x 3y-3x…

A:

Q: Evaluate

A:

Q: What is the integrating factor of (1+x)y +2y= 21ax sin.x 1+x

A:

Q: dP Which among the choices is the same as the differential equation = P(C₁ - C₂P)? dt A. OB. dP dt…

A:

Q: Find the curvature (as an exact value) of (t) when t = 1

A:

Q: If f(x) = = f'(x) = 4x² tan x sec x Find f'(5)= " find 4x(x + 2 tan(x sec (x) (x))

A: Topic- Derivative of a function  We are given, f(x)=4x2tan xsec xand f'(x)=4x(x+2tan (x))sec x

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 - A. 1/4 B. 1/2 C. 3/4…

A: Find integration factor first as it is linear differential equation

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: If f (x) = x2 - 2x, find f (a + 1) and f (a + 2).

A: Given fucnction, fx=x2-2x

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Given, dy/dt = 5t4-3et+2 And conditions y= 1  and t=-2

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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: Find the following matrix product, if it exists. -5 - 5 135 O A. -5 Select the correct choice below…

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Your option is incorrect but my solution is correct .

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 A. 1/4 B. 1/2 C. 3/4 D.…

A:

Q: Integrate. S2x² sin (12x) dx = +C

A: Given query is to find the integral.

Q: the cable of a suspension bridge hangs in the form of a parabola. the distance between two towers is…

A:

Q: fxe* dx.

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: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x O B. cot2x = 1-2xcot2x - 2csc2x

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: 6. Let f(x) = 4x² - x + 2 √x Find the equation of the tangent line (in the form y = mx + b) at x = 1…

A: To find the tangent line.

Q: y=5(x^(2)+3)^(5)+9(x^(2)-1)^(2x) then (dy)/(dx)

A:

Q: Which of the following equations OA. (2x sin y + y)dx + (x² cos y + x)dy = 0 OB. 1 dx-dy-0 y O E.…

A:

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A:

Q: sinx What is the integrating factor of (1+x) y + 2y = - 1+x

A: We have to find integrating factor for given differential equation.

Q: y = = 015 4. -2 13/ X

A: Given y=6x4,y=-2x3 The objective is to find the derivative of given functions.

Q: Which of the following equations can be made into a linear differential equation?

A:

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: a -- In words, describe the curve F(t) = (2 sint,e',2 cost) for 0<= t <=6 . Be sure to give enough…

A:

Q: Use the vertex  (h,k)  and a point on the graph  (x,y)  to find the general form of the equation of…

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Q: Evaluate the integral π/ 10 S 3cos 5t sin 5t dt. 0

A: Please see the below picture for detailed solution.

Q: 1 If (-x) = -5 ON) - M O O A. e5 B. ن D. E. y5 y -5 then what is the integrating factor? None of the…

A: Given: ∂M∂y-∂N∂x1M=-5y To find: Integrating factor.

Q: dP Which among the choices is the same as the differential equation = P(C₁-C₂P)? dt A. dP dt B. dp…

A:

Q: Determine the order and degree of the differential equation, 3x dy4 +5x² 3 (d²y) dx² - xy = 0.

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

Q: Your friend is at the top of a building which you know to be exactly 100 feet high. She throws a…

A: We need to estimate downward speed.

Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

A: Given data:- y3+kxy4-2xdx+(3xy2+20x2y3)dy=0

Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

A: By using synthetic division method the solution of given problem is as follow