Problem 1 Find the general solution at (4,-1), specify method used. 4 dy + y dx = x² dy %3D

Q: 1. S x(x2022+1) dx

A: The given problem is solved below in detail.

Q: a. Sketch the

A: answer is in next step

Q: 5. Consider the two curves r= / cos(0) and r= V2 cos(0), -T/2<0ST/2,whose polar plo 0.6 0.4 0.2 0.2…

A: Here, the given curves are: r=cos θ &amp; r=2cos θ

Q: 2 is rational ご -2 x is irpational odd ? even (メ)

A: Given the function,     fx=2,x is rational-2,x is irrational

Q: Evaluate the difference quotient fla +h) – fla) for the function Ar)= 4х-3 (h - 6)/9h 1/9 4/9

A:

Q: Evaluate d:/dx on the surface x: + + x²y®=² = 3 at the point (1, 1, 1).

A:

Q: Ion 14 Based on the graph, find the set of all x-values for which the points P(x, y) are on the…

A:

Q: 1. Find two sets of polar coordinates for (x, y) = (-V3,1, one with r> 0 and one with r< 0, both…

A:

Q: A differentiable function f(x, y) has the property that f(1, 4) = 5 and f-(1, 4) = 3 and f,(1, 4) =…

A:

Q: Exercise 1. Find the following limits 2 3x + tan 2x 2x + x tan 2x sin 1) lim 2) lim 5x +x tan 2x 3)…

A:

Q: Find the shaded area shown on the picture below. The function graphed there is f (x) = x² – 4 5 4. 3…

A:

Q: Evaluate the limits lim 5x+ 6. undefined

A: We will find the limit.

Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

A:

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: Determine if the infinite series is convergent or divergent. n+1 n=0 n+3

A: Here we have to check whether the series is convergentvor divergent.

Q: x2-4 dx S xVx2-9

A: solution:-∫x2-4xx2-9dx=∫xx2-9dx-∫4xx2-9dx                            =12∫2xx2-9dx-4∫1xx2-32dx…

Q: (b) Find the values of a andb so that the function f(x) = x2 + ax +b has a local maximum at the…

A: We have to find the value of a and b

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: To find out the riemann left sum and right sum and also sketch the graph.

Q: Graph f(x) = x² + 8x + 15 below by first selecting the correct shape, clicking the vertex, then…

A: The solution for the question has been provided both on paper and on the graphing tool desmos for…

Q: (1) (2) (4) B" A" A" B" 90 B'

A: We will find the type of pairs of lines.

Q: Differentiate the following function. r(1) = (e!2e!-4e) %3D r(1)=

A: We can solve as follows

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…

A:

Q: Use the Squeeze Theorem to show that lim x* cos = 0. If If(x) < B| for all x in an interval…

A: Squeeze (Sandwich)Theorem The Sandwich Theorem, also known as the squeeze theorem, is used to find…

Q: 4.Convert the angle in deyrees to racions. 1440 A)rcuduns B) 3 cuchans 5udians odhuns D) radrans 5a…

A: 4.Given degree 144°5.Given radian 5518π

Q: 12. Let y = 4x-4x+3. %3D (a) Find the equation of the tangent line to the graph of the function at…

A: Solve the following

Q: Question Suppose that the piecewise function f is defined by v2 +4, -6z+v6+5, z>1 -2<z<1 f(z) =…

A:

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x² is…

A:

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: Evaluate the summation i=1 28 10 30

A:

Q: * the Area that lies inside r=3+2 sin 0 out side r=2 is

A:

Q: For some constant a, the following improper integral | (x2 – 1)e2xdx converges to converges to e2a…

A:

Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx

Q: I -4 () Draw the graph of f(x) 6.

A: Using graphing calculator,

Q: Find the general solution to the trigonometric equation (2 cose - 1)(tane + 1) = 0 function value,…

A: Given equation, (2cosθ - 1) (tanθ+1) = 0 To be found : general solution of given equation

Q: Solve the given VSDE dy/x − y (dx/x^2) = 0

A: Solution: As per given data,  dy/x − y (dx/x^2) = 0 we solve by variable separable method In that…

Q: 3x2 – 2x – 8 - Let f(x) 3x2 – 11x + 6 - This function has: 1) A y-intercept at the point 2)…

A: Simplify the function using definition of asymptote.

Q: In how many ways can Joe, Mary, Steve, Tina and Brenda be seated around a round table? 24 12 20

A: We have to tell number of ways can Joe, Mary, Steve, Tina and Brenda be seated around a round table…

Q: Find the intervals where the graph of the function f is concave up, concave down, and any inflection…

A:

Q: Find the cross products uxv and vxu for the vectors u= (4,5,0) and v= (0,3,-5) = AXn (Di+Di+OK…

A:

Q: Find the following limit or state that it does not exist. x - 4x +3 lim X-3 x-3

A:

Q: Find an equation of the plane. The plane that passes through the point (−2, 3, 2) and contains the…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: Σ nº +1 n=1 aluate the following integral. (If th dx x9 +

A:

Q: Use substitution to convert the integrals to integrals of rational functions. Then use partial…

A:

Q: x = -1 x = 1 For what value of c is the function f (x) = continuous at x = -1? 12 –1 (x+1)(x-3)…

A:

Q: 5. Prove lim,40 V2r +I= 1.

A: Given :limx→02x+1=1

Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. If…

A: As per bartleby guidelines we supposed to answer only 1 question per post. This post contains 2…

Q: tan(1 – x) 2 limx→1 2x +x – 3

A:

Q: * ifr = 8 sece then the cartesian equation is

A:

Q: x3 + x2 – 5x + 15 dx 5. (x2 + 5)(x² + 2x + 3)

A: Partial fraction: A complicated rational statement is decomposed into two or simpler fractions using…

Q: Problem #2: Differentiate f(x) = [(2x3 – 8)(5x² – 3x – 9)]° and solve f'(2). Solution: Reason:

A: The given function,      f(x)=2x3-85x2-3x-93