Find all solutions of the equation in the interval [0, 2π]. 2sinxcos3x+2cosxsin3x = -√3 Write the answer in radians in terms of π. If there is more than one solution, separate them with commas.

Q: The national debt of a South American country t years from now is predicted to be D(t) = 70 + 18t4/3…

A: Given that the national debt of a South American country t years from now is predicted to be…

Q: Graph the function. n(x) = x -3 for-4<x<-2 for -2<x<4 -x² +16 for x ≥4

A:

Q: Locate the stationary point of the function z = 3x² + 4xy + 3y² (solve) Saddle point Maximum point O…

A: To locate the stationary point of the given function.

Q: z(t) = -2-t Find a plane through the point (5,6,-3) and orthogonal to the line y(t) = 8 - 8t z(t) =…

A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

Q: Let ā= and b = . Find 3a + 3b.

A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

Q: 4x²5w, if x ≤ -2 5x - 4, if – 2 3 Find w so that f (x) is continuous at x = −2. A. -6 Given: f(x) =…

A: Given that fx=4x2-5w,   if x≤-25x-4 if -2&lt;x≤356x-2, x&gt;3To find :w so that fx is continuous at…

Q: Given i) Find the values of x and y when t = 3. the va Find dy E dx RAL LWhen IMA nd when 123 CALC…

A:

Q: Find the value Saxe-aix dx

A: Given: ∫0∞x e-x10dx

Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: Use integration to find the area between the functions y = x² and y = 3x + 4. Show your work. -4 YA…

A:

Q: 50. Find the center of mass of the region bounded by y = x + 2 and u = ² - 4

A:

Q: A furniture store sells 96 coffee tables per month at $1100 each. The owners estimate that for each…

A:

Q: (a) [1 Show that the following equation represents a sphere, and find its center and radius. x² + y²…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

A:

Q: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

A:

Q: Find the limit. (HINT: Treat the expression as a fraction whose denominator is 1 and rationalize the…

A:

Q: Evaluate the following improper integral if it is convergent. S 13 -dx x In x Select the correct…

A:

Q: Evaluate the improper integral or show that it diverges. 6 S dx 0 √36-x² Select the correct choice…

A: Explanation of the answer is as follows

Q: the graph of f (x) = r the exact answer. Number below to find a number such that f (x) y 1 0.7 0.5…

A:

Q: Evaluate the following integral. √144-16x² dx

A:

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. y¹= x(2e + c) 2. y = Ae³x…

A: 1. y-1=x2ex+c Note:     Multiple questions are given, we are answer with only one question. If you…

Q: : Use the chain rule to find the derivative of w= x² + y² with dw with x = cost + sint, y = cost-sin…

A: This question is based on chain rule differentiation.

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: Let à = (4, 1,-5) and b = (2, -5,5). Find the angle between the vector (in radians) 1.09 X

A: Let's find angle between two given vector.

Q: Evaluate the integral or state that it diverges.

A: NOTE: Refresh your page if you can't see any equations. . substitute  take derivative…

Q: Let a = -27 +53 + 4k. Find a.

A:

Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

A: We can find the area of the bounded by the given curves.

Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: x-1 0…

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

Q: Let a = (5, 5, - 3) and b = ( – 5, 3, 0). Find the projection of b onto a. proj¡ b = <

A:

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A:

Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A:

Q: (c) Given a cubic function i) Find the critical point(s). ENTIA ii) Hence, determine the maximum and…

A: Let's solve.

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

A:

Q: x² + y² = 7 X=7 O igular (solve) x² + y² = 49. - Option 1 O

A: Given that r=7  r2 =49 let x= 7 cos(theta) y=7 sin(theta)

Q: Let à . Find al.

A:

Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

A:

Q: Question 11 If sin(0) = 7 and is in the 3rd quadrant, find cos(0) cos(0) = Enter your answer as a…

A:

Q: If v=3i+2j+ k,w=3i+ 4k and the angle between v and w is 90, find v.w (solve)

A:

Q: Verify if the indicated equation is an explicit or implicit solution of the given DE 1. y=csc(x+c):…

A:

Q: True or False: We have Select one: O True O False 2 2 2 [ ² x³²dx < [ ²³ x³²dx 1

A:

Q: Evaluate 2 6 (x + 2)√√/x-2dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find the distance from the point (-4,3,-2) to the yz-plane.

A:

Q: f'(x) = x²¹ - 2x² x¹2x² 2x−² + 1; f(1) = 5

A: Given that f'(x)=x-1-2x-2+1 -(i)Also given that f(1)=5.Our Aim is to calculate the antiderivative of…

Q: If then is equal to Select one: -2 2 -5 O 5 none of the others [²5(x) f(x)dx = 7 and f(x)dx = 2 ['se…

A:

Q: X-3 (x-2)(x+4) dx

A:

Q: The general solution of the DE+4-5y=0 y= Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x Option…

A: We have to find the general solution.

Q: 8 Find the sum of the series. Σ4¹/n-41/(n+1) answers. n=1 Give reasons for your

A: We have to find the sum of the given series.

Q: The line L with symmetric equations I+3 y-3 2-2 3 3 2 P(3,-3,-2). = passes through the point

A: Given line , x+33=y-33=z-22=k                                                     (1) If given line…

Q: Evaluate 4 2 4 X 13.402 -13.402 13.042 √x + 3 3 X 4 - 4 + 4 + 1 + x)\dx = None of them -13.420…

A:

Q: an = arn+1 an = arn-1 * The general term of geometric progress Option 4 O Option 1 an=arn a" = arn-1…

A: