Let (2+2 ifz> 2 f(z) = { if-2

Q: Suppose that P = (x, y) has polar coordinates (r, Find the polar coordinates for the following…

A:

Q: Given that f(x, y) = 8x-2x² - y² +8y with the constraint g(x,y): 2x+y=5. Determine the optimum value…

A: Solution is given below:

Q: 4. S tan x dx CSC X sec (In x) dx 5. dx 6. S; 1- cos 2x

A:

Q: Find the solution of ODE using the method of separation of variables. Initial value problem:…

A:

Q: A motorcycle covers a distance of 48 km per litre of petrol consump- tion. The cost of petrol is…

A: According to given, Let us take 3 variables, m for milage= 48 c for cost of petrol per liter= 20.30…

Q: 2r Find the absolute maximum and absolute minimum of the function f(x) = 2x 3 over the interval [0,…

A: Absolute Maximum and Absolute Minimum in a closed interval: step 1 : Find the critical point of the…

Q: PART C dy 12. Show that dx 2 for the relation %3D V%3D10, x, y X. # 0. y

A:

Q: please

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

Q: Demand for The Secret Loves of John O, a romance novel by Margó Dufón that flopped after two weeks…

A: Let's find.

Q: dy Find for y = x17 dx А. 1716 В. 216 С. 16х16

A: A detailed solution is given below

Q: Determine the following functions as homegenous or not, if homenenous state the degree. 1. √x-y…

A:

Q: 5. In the differential equation (1+3xsin ykdx-x cos ydy = 0, we let the substitution %3D

A: Follow the procedure given below.

Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

A:

Q: Convert from rectangular to polar coordinates. (a) (0, 1) (Give your answer in the form (*,*).…

A:

Q: 300 + 900t – 90t, where t is in The traffic flow rate (cars per hour) across an intersection is r(t)…

A:

Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: ; Suppose v · w = 8 and ||3 x w|| = 2, and the angle between v and w is 0. Find (a) tan 0 (b) 0 =

A:

Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t :z=28+1,y=1-3s,z=1 y+1 3 z-1 %3D %3D За 2a Find the…

A: We have to find the point - normal equation of plane.

Q: 1,470,000 - $500,000 +$X <$6,150,000.

A:

Q: rector-valued function. (Enter your answer using interval not :), where F(t) = cos ti – sin tj +…

A: We have to find the domain of the given vector valued function

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

A:

Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3\dy=0, we let the substitution %3= 2. In the…

A: 1) Here, the differential equation is: (x+2y-1)dx+(2x+4y-3)dy=0⇒dydx=-x+2y-12(x+2y)-3

Q: Work Problem 2- a) : Use the Integral Test to verify if the following series is convergent or…

A:

Q: Let S be the solid bounded by the planes z = o and y + z = 3, and the cylinder x2+y2 =2y-

A: answer is in next step

Q: Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) = | t*dt…

A: By using Part I of the Fundamental Theorem of Calculus:f'(x)=x4

Q: Solve the following problems completely and accurately. Solving Differential Equations (1) Find the…

A:

Q: 4. (2x2-у?)dx+2хydy-0

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method.FULL SOLUTION x^3sec^2ydy –…

A: A detailed solution is given below

Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Question The statement below is of the form f(x) dx = F(x) + C. %3D Verify whether the following…

A: Note that: ∫(20x3-5cos(x))dx=20∫x3dx-5∫cos(x) dx=20x44-5sin(x)+C=5x4-5sin(x)+C

Q: Determine whether the improper integral converges or diverges. dx 1/3 -3 O Converges Diverges

A: Given query is to find integral converges or diverges.

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

A:

Q: In how many ways can a group of 10 people be seated around a table if 3 of them insist on sitting…

A: We have to find number of  ways can a group of 10 people be seated around a table if 3 of them…

Q: Evaluate Integral

A:

Q: Find the area under the curve between x-2 and x=-1 for the curve f(x)=(7 – x²)d

A:

Q: 12 d t°dt = Using Part I of the Fundamental Theorem of Calculus, evaluate: dr %3D

A:

Q: 3. In the differential equation (2x+ y)dr-3(2x+ y+4)dy = 0, we let the substitution dy =

A:

Q: Consider the power series P (x) = ∞ ∑ (2n/5n+1)xn=1/2+x/3+2x2/13+43/64+... n=0 (a) Find its radius…

A: We have to find radius and interval of convergence.

Q: Evaluate the definite integral (18z 4x +3) da 4

A:

Q: Question Consider the graph of f'(x) shown below in blue. Submit your answer to this question by…

A: We will first find the critical point of f(x) by using the graph of f'(x) and then use the second…

Q: Perfo Determine the antiderivatives of the following 1. S sec24x dx 2. S(tanx - 1)2²dx dx 3. S;…

A:

Q: Question 2r 2x Find the absolute maximum and absolute minimum of the function f(x) = 5 6 over the…

A:

Q: 3/2 Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3(1 - x)2. P4(x) =

A: Solved below

Q: Lal 3+4" 2" which of the following is correct? To use the comparison test on the series O None of…

A: Given query is to find the correct option option.

Q: x/3 The life (in months) of a certain electronic computer part has a probability density function…

A:

Q: If f(x) and g(x) are continuous functions, then s Ldx 4. Lf(x)dx Sø(x)dx° g(x) 5. Sdx = In]x| +C and…

A:

Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: 1. f(x)=x2. f(x)=-4x3-23. f(x)=1x Note:     Multiple parts are given, we are answer with three parts…

Q: X tu 3. From questions #2-11, choose an "interesting" relation and i) Sketch the relation clearly…

A: