2. Find each indefinite integral. Show all steps. c) I ta tan²x sec³x dx

Q: 7. Assume What is t 60 X=S X y y is the Area? + E.ON

A: We need to find area.

Q: Consider the following curve. r = sin(20) Set up an integral that can be used to find the area of…

A:

Q: x = 5 tan 8 8= 0

A:

Q: Find and classify all critical points of f(x,y) = 3y2 - 2y3 - 3x2 +6xy +15

A:

Q: An emergency field hospital was built in the remaining piece of government-owned land. Given that if…

A:

Q: Solve the equation. Give your answer correct to 3 decimal places. -0.09x 74 = 100 100e X =

A: Given 74=100-100e-0.09x

Q: Consider the following initial value problem, defined for t > 0: y² – 2y = f* (t- a. Find the…

A:

Q: "! Use the Second Derivatives Test to find all relative extrema and saddle points of the following…

A: The given problem is solved below in detail.

Q: X The first three Taylor polynomials for f(x)=√√9+x centered at 0 are po(x) = 3, p₁(x) = 3+ √9.2. 6'…

A: The first three Taylor polynomials for fx=9+x centered at 0 are p0x=3,  p1x=3+x6, p2x=3+x6-x2216. To…

Q: Write an equation for the transformed logarithm shown below, that passes through (-3,0) and (-2,-3)…

A:

Q: Question Find all points on the curve defined by the equations (t) = 5+4√t and y(t) = 4t - 4 with a…

A:

Q: 7 п 11. 6 12. п

A:

Q: 29. [(5x-7)-² dx = k(5x-7)¹ + [√x+1dx=k(x + 1)/² + C (4-x)-¹ dx = k ln 14-x|+C 30. 31.

A: Given problems:- 29.  ∫5x-7-2dx=k5x-7-1+C 31.  ∫4-x-1dx=kln4-x+c

Q: Find the arc length of the curve defined by the parametric equations x(t) = t + 3 and y(t) = 9t-8…

A:

Q: nd the local maximum and minimum values of f(x) = 1 + 3x² + ing the Second Derivative test.

A: given function is f(x)=1+3x2-2x3then by using second derivative test we have to find local maximum…

Q: 25-40 Find the critical numbers of the function. 25. f(x) = 4 + 3x – 1⁄2x²

A:

Q: 7. The function f(x)= is known as the Sobolewski Happiness Indication Threshold. This function shows…

A: As per the guideline only 3 subpart is allowed to solve at a time for further help ask same question…

Q: y"y"+16y' - 16y = 0

A:

Q: Assume that f"(x) is continuous on [0, 1] an ƒ(0)=1,ƒ(1) = 3, ƒ'(1) = 7. Find [xf"(x) dx.

A:

Q: (a) (b) lim f(x) = 8118 lim f(x) = x18 TY FO

A: From the given graph, we have to find the limits limx→-∞fx and limx→∞fx.

Q: У 2- -2- П 2л X

A: Graph of the function is given, we have to find its equation.

Q: Determine the slope of the tangent line at t = 1 to the curve defined parametrically by the…

A:

Q: Consider the region bounded by the curve y = √√x + 1, the line y = 2 and the y-axis. Setup an…

A:

Q: Find differential of the function y = dy = dy When x = 3 and dx differential. dx. = = (x²+4)³. 0.05,…

A:

Q: What is the value of O e² +e-2 e² - e-2 does not exist; the function y = e is not integrable. e² - e…

A:

Q: Ꮎ 25 ft. L The length L of a long wall is to be approximated. The angle, as shown in the diagram…

A: We have to find the length and error.

Q: Suppose g(x)=√x. What is the correct expression for the result of - when simplified?

A:

Q: 1) Express in cylindrical and spherical coordinate systems. Cylindrical Spherical Coordinates…

A:

Q: b) Evaluate S (6x5 — 5x¹ + e*)dx.

A:

Q: d. Find a, b, c, and d such that the function defined by y = ax³ + bx² + cx + d will have a relative…

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

Q: Write the function graphed below in vertex form. ( -10-8 -6 4 -10 8 6 -2 16. +2 +6 10 4 6 8 10

A:

Q: f(x) = 18x²-x4

A:

Q: y' - y = te¹ sin t, y(0) = 0

A: we will find the required solutuon of given ivp.

Q: find an intergrating factor of the n for the equation form y t 2 (y² + 4xy) dx - x ² dy=0 hence…

A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Graph the function over a two-period interval. y=-2-- tan 2 x + 1 2 2(x+. 3r 2

A:

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

A: The Answer is in step 2.

Q: Let f(x) = 4√√x+5x. Verify that f(x) satisfies the conditions of Mean Value Theorem on the interval…

A:

Q: (a) Check all of the following that are true for the series ∞ n=1 (n!)³ (3n)! A. This series…

A:

Q: The plane perpendicular to the y-axis at (0,4,0)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find an equation for the graph sketched below B 8p KRAGEN PARAU

A: To write an equation for the given graph of a function

Q: Given that y = 1.25%, write an equivalent equation in the form y = bx, with 0 < b < 1. y =

A:

Q: == √5 sec8 8=

A: To label the three sides of this triangle and find the value of 'θ' according to the given equation.…

Q: The surface of an island is defined by the following function over the region on which the function…

A:

Q: roble ind the derivative of eacl 2t (a) g(x) = 2² ²4 dt fx² -2 t³+1

A:

Q: Calculate the integral approximation Se for √₂ 741 dx. S6 =

A:

Q: 2. Find the sum of the series. ∞ 71=0) 312-4¹ 5n|1

A:

Q: x(t) = Convert the line given by the parametric equations y(t) z(t) Enter the symmetric equations in…

A:

Q: The fox population in a certain region has an annual growth rate of 5 percent per year. It is…

A: Given: Fox population in year 2000, P1=13200  Annual growth rate, r=5%

Q: Ab a \ B с [f(x)dx 0 C Area A = 1.573 Area B= 2.236 Calculate the definite integral by referring to…

A:

Q: Elementary Differential Equations (Upvote will be given. Please write the complete solutions…

A: To find the general solution of the following differential equation. 4D4-8D3+7D2+11D+6y=0