g expressions a. lim (2z - 1)(2-1)

Q: A student is asked to determine the polar coordinates (r, 8) corresponding to the Cartesian…

A: Let's find.

Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize z = 3x…

A: Here, the feasible region by the curves x+y≤1034x+y≤160y≥23x,y≥0 is:

Q: Evaluate y' of the given functions: (х-4) y = x2

A: Here is the solution:

Q: QI// Find the Area bounded by: x = -y2 and x =y-2

A:

Q: 2. Find the area of the region bounded by the curve r = 2 cos 30 .

A: Given problem:- Find the area of the region bounded by the curve r = 2cos(3θ)

Q: Find dy/dx: 1. у %3D Vu du

A: Given: y=∫0t4udu

Q: Find the arc length of the parametric curve. x = 24 cos(t), y = 24 sin(t), z = 7t; 0<t< T L =|25

A:

Q: 3 (-4V3,-2V3) :44. V=

A: Vector

Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

A: We have to find the derivative of the given function.

Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

A:

Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: We can answer both the question as below.

Q: Verify Green's Theorem by evaluating both integrals ƏN y2 dx + x² dy dA ay for the given path. C:…

A:

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: dr

A:

Q: Find a unit vector in the direction of the given vector

A: Follow the procedure given below.

Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

A:

Q: Derivative of f(x) and derivative of g(x) are equal. Then f(x) = g(x). %3D Select one: O True False

A: Answer is given with example.

Q: Solve the system. Give your answer as (a, y, z) 3z - y + z = 7 -2x + 2y + 3z = – 18 3z-6y + 6z = 0…

A: Use the method of elimination and find the value of x, y and z.

Q: Find all partial derivatives of w = x sin(yz) – z In(xy)

A: To find all the partial derivative.

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A:

Q: Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

A: Let's find.

Q: 2.46 Let Q(x) = Vr. Prove that the function Q is uniformly continuous on [0, o). (Hint: See Exercise…

A: We have to show the function Qx = x is uniformly continuous on [0, ∞) The function Q is said to be…

Q: f(#n) for For the function f(x) 3x +1, write Newton's formula as , 1 - F(En) f'(an). solving f(x) 0.…

A:

Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

A:

Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: A Die is rolled, the probablity that never appear 2

Q: Find the vector

A: The vector r=&lt;a,b&gt; is written as, r(i)=ai+ bj

Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: Find dy/dx: solution in handwritten 1. y = , Vu du

A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

Q: 3. Evaluate yn x dx

A:

Q: 1- P is equal : a) 1 b) 120 c) 5 2- C is equal : a) 455 b) 544 c) 4542.

A:

Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

A:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. L'lx| dx Sketch the…

A: The graph is shown below, where the shaded region represents the area.

Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: Evaluate the following indefinite integral: dx r2 +1

A:

Q: Given two vectors u and v that form an angle of 60° (when joined tail to tail) and given that | V| =…

A:

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

A:

Q: Select the conic section represented by the equation. y 2 - x = 0 line parabola hyperbola circle…

A:

Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

A: To determine which of the given options is true for the given function

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

A:

Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: What are all values ofk for which x'dx = 0?

A:

Q: Consider the parametric curve defined by x = t – 7, y = t* + 13t. What is %3D - the slope of the…

A:

Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: Find each limit, if it exists. (a) lim + 4 x-00 x - 3 X4 + 4 (b) lim X 00 x -3 + 4 (c) lim X- 00 x3…

A: All the limits are in indeterminate form, just taking common  some power of x from numerator and…

Q: x2 – 3x – 2 - if x 4 f(x) = /2x + 1

A: To find which discontinuity is at x=4.

Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.