Q4 Find function's domain, function's range, and determine if the domain is an open or closed region for the functions below 1 b)- √16 x²-y²

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2;  R(x) = x3 + 5x…

A:

Q: Let h(x) = tan (2). Which of the following best describes its fundamental algebraic structure? A. A…

A:

Q: 3. Let y = (f(x) + 5x²)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

A:

Q: Solve g) iv. using the lebiniz rule, differentiate the following functions with respect

A:

Q: Sketch the graph that possesses the characteristics listed. fis concave down at (1,4), concave up at…

A:

Q: 7315 Q₁. Find the angle between every two vectors below (Answer two only): a) d=i+2j-k and e--i+j-2k…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

A: Here is the solution:

Q: Please show all workings in each question neatly and in detail. 1. Evaluate the following indefinite…

A:

Q: A car wash firm calculates that its daily production (in number of cars washed) depends on the…

A: The question is different . Here , differentiate w.r.t to n

Q: Sove ex-dx + e- xdy = 0

A:

Q: y ( x ) = (₁ e ² + ( ₂ e 2X + - 3e³x; y(0) = 0, y'(0) = 0

A: Given:- yx=c1ex+c2e2x+3e3x y0=0,y'0=0

Q: 1. Find the solution of the IVP ty' = y +t³ sin(2t) – t³, y(t) = 3/t¹.

A:

Q: What is the average velocity of the curve y= square root of ( x2-2x) over the interval of [ 2,7]

A:

Q: 56x²5x-50 15x²-44x-20 20x²-7x-6 2x² + 9x + 10 n

A:

Q: Evaluate lim A. dne 3x³-4x²+1 A. R x-00-7x³+x2+2 B. 0 C. - 31/12 The domain of y = log(1-2x) is B.…

A: Givenlimx→∞3x5-4x2+1-7x5+x2+2 We have to find the value of the limit of the function And we have to…

Q: (d) s

A:

Q: Solve for x, y and z using (a) Cramer’s Rule, (b) Inverse Matrix Method

A:

Q: Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. x²y² =…

A: Given expression: x2y2=49                ............(1)

Q: Find the solution of the IVP: (1 + y cos x) dx - sin x dy = 0, y(1/2) = 1. Then, evaluate y(1.603).

A: This question can be solved using the concept of linear differential equation.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 1…

A: To evaluate the given integral

Q: Solve the triangle. Round the answers to the nearest integer. y= b= C= IN M. 0 in in 75% 15 in Y b…

A:

Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: 6x + y²)dx + y(2x - 3y)dy = 0

A:

Q: 3.  Evaluate the integral. (If the quantity diverges, enter DIVERGES.) 3 0 1 9 − x2  dx…

A:

Q: Evaluate the integral. 5 1³w² w² In(w) dw

A:

Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

A:

Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: = : 0. z = x² + x − 3xy + y³ − 5, find all points(x, y) wherein zxand zy

A:

Q: An object moves with the acceleration vector ä(t) = with initial ity vector Po= and initial position…

A: Given acceleration of an object after time t is a→t=-2.i⏜+j^+3k^ Let the position vector of the…

Q: 56x²5x-50 15x²-44x-20 20x²7x-6 2x² + 9x + 10

A: We know that the root of quadratic equation ax^2 + bx + c = 0 is x = ( -b + √ (b^2 - 4ac)) / (2a)…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Q₁. Find the angle between every two vectors below ( Vote b) f-3i+2k and g=4i+4j-2k

A: In this question, we need to find the angle between two vectors.

Q: Evaluate the definite integral. */4 sin(t) cos² (t) 6. dt

A:

Q: < For y = 174√√x, find dy, given x = 9 and Ax = dx = -0.14. dy = (Simplify your answer.)

A:

Q: Minimize the function M=3x² + 3y² subject to 2x+y=64 and find the values of x and y at which M is…

A:

Q: Finding the critical point(s) of f(x) on the given internal. f(x)=(2^x)sin(x) on [-2,6]

A:

Q: Let u, ER" prove that |uv|≤|||||||||

A: This question can be solved using the following conceptsa. Dot product of two vectorsb. Modulus of a…

Q: 2. Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 de)

A:

Q: Find the solution of each of the following initial value problems. y(0) = 1 (a) y'-y = 2te²t, (b) y'…

A:

Q: .(a) In the 3 Significant Decimal Digits, Rounding system, Floating Point Number System, compute the…

A: Concept: Finding the value of xmid*=a+b2.00error in xmid*=xmid*-xmidrelative error=∆xmidxmid% error…

Q: Find inverse g(x)=x²-2x, x²1 f(x)= 1+√2+3x S y = (2+ 3√x) ³ 1-√X Y = T+√x

A:

Q: 5. Show the equation sin² x + 2x = 3 3 has exactly one solution. has exactly

A:

Q: 5. If f(x)=x²-3x+2 and g(x)=√√4-3x A) Find fog (-2) = B) Find go f (1) T

A: We can solve it by the help of function of function method.

Q: . If x = t + cost, y = sint, find d²y dx²

A: we will find the required.

Q: 2. Consider the equation du = -0.5y²(y² + 1)(y² − 4)(y + 1)esin y (a) Find all equilibrium…

A: To find the equilibrium solution of the differential equation , set the differential equation to…

Q: Find the particular solution of each of the following. y(1+21n²) dx+xdy=0; y(e)-e

A:

Q: Given f(x, y, z) = xyz, find fxyy

A: The given function is fx,y,z=xyz We have to find the value of fxyy

Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

A:

Q: f(x)=5sin(2x) - 2x² - 4x Find the maximum or the minimum of the function using newton's method of…

A: Newton's method of optimization is the general method for finding the minima or maxima of the given…

Q: The range of y = tan-¹ x is A. R Evaluate lim h-0 A. undefined B. [-1,1] (x-h)³-x³ h B. 3x² C. x +…

A: