For items 14-16. Solve the following systems of inequalities graphically. x- ys 2 14. x+ys 2 X2 - 2 x+ys 5 x+2ys 6 16. yz O

Q: What are intervals of concavity of the function f(x) = -2x – 6x? – 3 ? a. Concave upward on (-00,-1)…

A:

Q: Find the volume of the solid obtained by rotating about the x-axis and the region bounded between: y…

A:

Q: . Evaluate [10x cos(x²) dx . A) sin(x³)+C C) 30 sin(x') +C 3 B) sin(x') +C 10 D) 3 sin(x') +C 10

A: Our Aim is to evaluate the integral given below:-∫10 x2 cos (x3) dx -(i)

Q: dy Use implicit differentiation to find dx 2х - 3 5y? 2x +3 dy dx

A:

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A:

Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…

A:

Q: Barbados A cruise ship maintains a speed of 5 knots (nautical miles per hour) sailing from San Juan…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the equation of the two lines that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0 at…

A: Given

Q: Find by implicit differentiation. dx x 6x + 7y = 8 dx

A: we have to find the derivative

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given query is to find the the function.

Q: Given that the graph of f(x) passes through the point (4, 3) and that the slope of its tangent line…

A: Given query is to find the value of the first function at indicated point.

Q: sin y dy 3

A:

Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

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: 0.005t2 + 0.9 Suppose that in a memory experiment the rate of memorizing is given by M'(t) | where…

A: Topic:- application of integration

Q: Question 28 Write the first five terms of the geometric sequence. a1 - 3; r=- O 3. 74 03 3 3 4' 16…

A: A detailed solution is given below.

Q: 2. Which of the following is the process of finding the antiderivative of a function? A) Limits B)…

A: Topic:- integration

Q: 8. Evaluate dx . 6x A) +C 6. D) -C B) +C 5x 7x7 O b C O d

A:

Q: 1. Coefficients Linear in Two Variables: (x+ y-1)dx+(2x+2y+1)dy = 0

A:

Q: If f(x) = 7 sin(8a)sin-(x), f'(x) -

A:

Q: Evaluate the following integral. 6x cos x dx - 4x

A: Given,  ∫-4π6πcos2x dx

Q: 2. 49-x2 dx case 1

A: The solution is given below

Q: x2-16 x - 16 Let f(x) = (a) Calculate f(x) for each value of x in the following table. (b) Make a…

A: This question can be solved using the concept of limits.

Q: Question 2 ( Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y'(0) = 3. (a) Use the…

A:

Q: Let f(x) = (4sin z + 2 cos z)arctan z f (x) =

A:

Q: 10. Create examples of functions (and also justify why it works for each): a) Continuous and…

A: Given

Q: Find y'' of x⁵ - y⁵ = 1.

A:

Q: csc(cot x) + cos? x dx ,2 sin?.

A:

Q: P5: 4 – 9x²dx

A:

Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

A:

Q: Evaluate each of the following limits. Тапx-x 1) lim x-0 x-Sinx 2) lim lnx – x² + x x-1 (x-1)2 3)…

A:

Q: लि dx dx 3. case 2 (x + १) १/

A:

Q: An angle Θ is known to vary periodically with time, in such a way that its rate of change is…

A:

Q: What is the absolute maximum value of the function f(x) = x³ – 3x2 on the interval (-2, 3] ? %3D a.…

A: topic- extrema of function

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: Vector u is represented by the directed line segment RS and vector v is represented by the directed…

A:

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

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

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

A: We can solve as follows

Q: b) sin(xy) = sin(x) + sin(y)

A:

Q: dx Vx+2

A:

Q: csc2 3x Evaluate J cot³ 3x csc² 3x dx ● 금cot-23z +c O cot 23xcsc3x + c O 6cot 3xcsc3x + c ○ 글cot?…

A:

Q: Evaluate each of the following integrals. 1. sin x cos' x dx

A:

Q: se the Intermediate Value Theorem to show that the following equation has a solution on the se a…

A: Topic:- function

Q: If an+1 4n+5 4n +7 Up then the series E an n =1 is divergent Select one: O True O False

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

Q: For each of the following problems differentiate the given funct h(w) = w² – 3sinh (w) g(x) = cos(x)…

A: We have to find the derivative

Q: 3 of 7 f(x) = {x - 2, *5 3 x+4, %3D is continuous everywhere. x > 3 O false O true

A: Given query is to find function continue or not

Q: xdx z Vx – 1

A: To evaluate: I=∫210xdxx-1 Substitute x-1=u⇒x=u+1 & dx=du as x→2⇒u→1 & x→10⇒u→9 So,…

Q: Instructions: Rewrite cach Sysiems de equalions as a matrix, then pertorm row opeations to Salue: 3x…

A:

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

A: