Given the functions            g(x) =   3x + 1      find g-1(x)                                                             2x - 4

Q: 2. Eliminate the arbitrary constant on the given equation: y = C₁e-²x + De4x

A: Given  y=C1e-2x+De4x

Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

A: a)  Number of substitutes  =  20*0.8 + 2  =  18     Hence,  Money paid by LHS for substitutes  =…

Q: 14. If f(z) = 2 + z² – zª, then the equation S(x) = 0has a solution on the interval A [1,2] B (0,1]…

A: We will make use of the fact that for f to have a solution in an interval it must be that f has…

Q: A calculator company found that the cost of producing x graphing calculators per day is C(x) = 4x +…

A: a) Revenue = price x quantity sold R(x) = 80 x

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: b Suppose we want to find all points at which the direction of fastest change of the function f(x,…

A:

Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: 2 The derivative of y = 3x? 3 + 3x is 2x 3 A. y =** 2 2 3 x° + x´ +3 3 4 4 В. у B. y' = +3 2x2 + 3x…

A: Derivative.

Q: 11. In the function y = 3x2 - 3, y is replaced by y and then y is replaced with y +2 ; the new…

A: Given:     Function y=3x2-3   Here y is replaced by 12y       substitute y=12y      12y=3x2-3…

Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

A:

Q: Does the given equation define an implicit function around the point (y=3, x=1) and why?

A:

Q: 2.,3 2) Find fx and fy if f(x, y) = 2x²y³ – 3xy² + 2x² + 3y² + 1

A:

Q: Find X Y Z for these equations 3/2 X + 2v3 Y – 32 Z = 15 - X +3 Y + 2 Z = e^0.5 V3 X + v2 Y – Z =…

A: For the system of equations AX=B, if inverse of A exist then X= (A-¹)B

Q: 3) Solve the problem. 3) Use the graph of y = f(x) below to graph y = 5f (x) 10+ 9- 7- 6- 4 5 7 X A)…

A: if we have function f(x) and we multiply it with any constant say k  if k > 1  then graph will…

Q: 10--6A Oa) x- -6 V b) x = 6 c)x- 10 V d) x- -2 Oe) x- -8

A:

Q: (1) If f(x)=(x-1)(x-3)(x-5),a%3D0,b=4. Find the value of csuch that f (c) has the same value as the…

A:

Q: FInd the equation of a linw whose gradient is 3/2 and which passes through the point P,where P…

A:

Q: In this problem, we'll walk through the steps to find the area of the rectangle bounded by: The line…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Let y=(x^(2)+x+1)^(5)(x^(3)-1)^(2). Then (y')/(y)equals (a)(5x-5-6x^(4))/(x^(3)-1)…

A: Solve the differential equations

Q: If (0,8) is the y-intercept of f(x) and the slope of f at x is m(x)= 4x/(x^2+1)^3, then what is…

A:

Q: Suppose f, f', g, and g' have the following values: 1 2 3 f(x) 4 - 2 - 2 7 4 f'(x) 9 2 5 - 9 (x)6…

A:

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: The graph of a parabola is given.Match each graph to its equation

A: Some of the standard conic sections are parabola, hyperbola, ellipse, circle. among others. The…

Q: 1. Eliminate the arbitrary constants in the equation given by: (x- a)(y – b) = 1 |

A:

Q: find the (a) domain and (b) range

A:

Q: In this problem, we'll walk through the steps to find the area of the rectangle bounded by: The line…

A: Topic - equation of lines Note :As per bartleby guideline  if more then three subparts are asked…

Q: 6. Convert the equation x² – 5 = 0 to the fixed-point problem x = x + c(x? – 5) = g(x) with c a…

A:

Q: -2 27. The first derivative of y = is (4x+1)3 а. -24 b. 24 C. -6 d. (4x + 1)* (4x + 1)* (4x + 1)*…

A:

Q: 1 (a) y = x-4 (b) y = x-5 (c) y = 2x Xー -2 -x + 2x-4 x-1 のy= x -4 (d) y = x-1 (e) y = x'(x-2) x-1 x…

A:

Q: Find the first and second derivatives a) y=((4x^3)/3) -x +2e^x b)y=6x^2-10x-5x^-2

A:

Q: 2: Show that the line equation passing through two distinct points (a1, b1) and (a2, b2) can be…

A:

Q: Write an equation for a line g(x) parallel to f(x) = −5x − 2 and passing through the point (3, −14).…

A: Since multiple questions are asked , I am answering the first question.

Q: Let (2, 3) and (4, 5) be two points of a straight line (call this straight line f(x)) and let g(x) =…

A: NOTE: Refresh your page if you can't see any equations. . given points are the slope of the line…

Q: 2 The critical point for the function g(x)= X +4x is Select one: a. (4,-2) b. (-2,4) C. (2,4) d.…

A:

Q: The graph of y=x'-3x-24x +32 is concave upward on the interval (1, oo) because: O'=y"=0 Oy' is…

A: The given function is y=x3-3x2-24x+32

Q: Here are the equations representing the area covered by two different types of mold d days after…

A: We have to find the values in the given question. This question can be done using exponential…

Q: Find the intercepts of the function. g(n) = −2(4n − 1)(2n + 1) n-intercept      (n, g(n))  =…

A: To find the intercepts

Q: 4 Solve the following y + xy = xy 01+y³e³²/2 = Ce³z² /2 01-³e³/2 = Ce³²/2 01-y³ = Cy³e³²/2 01+y³ =…

A:

Q: on of two the lines L1: x +2y 3 and L2.

A:

Q: We know that f(x, y, z)= x³- 9x² + y² + z² +24x-4z +20. Determine the optimum value of the function…

A:

Q: 4. The quadratic function f(x) has a turning point at (-3,6). The quadratic y=÷f(x)+3 would have a…

A:

Q: Find the equation of a line parallel to x = -8+ 2y that passes through the point (8, –2). Oy = -x –…

A:

Q: 5. Obtain the general solution. Use homogenous functions for this problem. (2x°y - xy? + y³)d« -…

A: We will solve the following

Q: Suppose a company has fixed costs of $12,300 and variable cost per unit of $0.20 x+128 dollars,…

A:

Q: Find the intercepts of the function. g(n) = −2(4n − 1)(7n + 1) n-intercept      (n, g(n))  =…

A:

Q: 2x + 5y – z =-7 z = -7 x – y + 4z = 18 x + 2y + 3z = 11 -1|-7 4 18 -11-7 [2 1 -1 3 [2 -7 -1|-7- 9 43…

A: