Evaluate O O In O In In a:² In |-2|³ |x + 1/² x+2/8/3 |x-1/5/3 O 3 ln x²-x-2+C x-1/5/3 x+2/8/3 x+7 |x + 1/² |x - 21³ +C x 2 +C + C +C da.

Q: 14. y' + y tan x = sec x

A:

Q: let cosx=-4/5, pi<2<3pi/2. find csc(x/2).

A: Solved below

Q: If evaluate f f(x) dx = 7 f(x) dx = 8 f2f (x) dr.

A: Topic = Integration

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

Q: Mammator Mbaye ) Find the derivative of the expression - carefully. Do not simplify. (81) - 24r + 22…

A: To find out the derivative.

Q: Find for the following: dz y = ln O 2x+3 I O I 2x+3 3 21(2x+3) O In(+3) 2x+3

A:

Q: Find the Fourier series for the following functions: f(t) = |sin t], -1 < t < n and The function is…

A: Solution is given below:

Q: Which of the following statements proves the series-128+96-72+54- O 2 is geometric?

A:

Q: 8 №₁ 4-x² x+4.x² dx

A:

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x² + y²…

A:

Q: S 1 (x²+6x+5)3/2 dx

A:

Q: Question 22 Find the polar equation for the Cartesian curve ² 0₁ = cos O p = O O sec @tan 0 1 T=…

A: Please see the below picture for detailed solution.

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: : x-2y+3z-1 = 0 and the line 1 : x = Consider the plane 1. Find the point of intersection of and 1.…

A: Given: x-2y+3z-1=0x=1-y2=z+1

Q: Find the derivative of the given function. COS ³ (1) g(x) = 2 cos3 O a) g'(x) = -3 cos² (sin() Ob)…

A: Given, g(x)=2 cos3x2

Q: An estimate of ³₁x¹dx using Simpson's rule with n = 4 gives a. 242/5 b.244/5 c. 148/5 d. 152/5

A:

Q: 7. A jar contains black and white marbles. Two marbles are chosen without replacement. The…

A: Solution is given below

Q: , (a) Let f(x) = −x²-x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

A: The objective of the question is determine the equation of tangent line to the given function.

Q: 8 1 4-x² 4 x¹ +4.x² dx

A:

Q: A particle is moving with a position function given by s(t) = 6t² - in metres and time in seconds.…

A:

Q: Given f''(x) = 7x + 4 and f'(0) -2 and f(0) - 3.

A: Given that f"(x)=7x+4 and f'(0)=-2 and f(0)=-3Our Aim is to find f'(x) and f(4)=?

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A:

Q: a) 2+ 3i b) 2-3√2i Write in trigonometric form with 0 ≤ 0 ≤ 2π

A:

Q: This equation is an example of which one of the following? Ax + By > C A two-variable inequality…

A: Since , x and y are variables , therefore given inequality is a  Two - variable inequality. Option…

Q: If what does the following integral equal? 1 d(v)dv= 8 - d(v)dv = 20 and 8 [*d(v)dv = 6.8 7

A: To evaluate the given definite integral.

Q: 200000 Find the limit algebraically by factoring the expression first: lim 211 0 Limit Does Not…

A:

Q: Set-up the double integral that will solve for the volume of the solid in the first octant bounded…

A:

Q: Express the limit lim n→∞ a = n b = i=1 Provide a, b and f(x) in the expression (6 cos² (2πx)+5) Ax;…

A: To find value of a, b and f(x).

Q: Evaluate the following limits if they exist: lim In (3x-1) 5+x x->-5 e a) b) x-lnx lim x-e* lnx-1 El

A: limx→-5ln3x-1e5+x

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A:

Q: I. Find the solution set of the following. 2(1 + cos x) sin x 3. tan X 2 x = [0, π]

A: Let's solve given trigonometric equation.

Q: Which of the following equations represents a parabola with a horizontal axis of symmetry, vertex at…

A:

Q: Approximate the area under the curve y = x³ from x=2 to x = 5 using a Right Endpoint approximation…

A: Right Riemann sum (Right Endpoint approximation): ∫abfxdx=∆xfx1+fx2+fx3+....+fxn-1+fxn Where,…

Q: Suppose cot(theta)=-2, t in the second quadrant. Find cos(theta)

A: topic:- trigonometry ratios

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. 3 + 6x3/2 f(x, y) R:…

A: In this question, we need to find the area of the surface.

Q: Sketch the area bounded by x² + 2y = 4 and and determine: x+y+2=0 area using horizontal strip

A: The objective of the question is graph the given region and determine the area bounded by the given…

Q: 1. Consider the region R bounded by the functions f(x)=3x and g(x)=x²+2. The centroid of R is: a.…

A:

Q: I. Find the solution set of the following. 2. 3x² + 2x³ — 7x² - 4x + 2 = 0

A:

Q: 1. Which of the following is the solution to the differential equation = y³e²² that satisfies the…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: 4. S (y³+4)dy y(y+1)

A:

Q: On Integration of Rational Fractions. Distinct linear linear factors ³+3x+1 8) (x+1)²(x-2)²

A:

Q: fa¹e² da dx: Applying the integration by parts technique, let Consider the integral Ա 4 X dv = ex x¹…

A:

Q: If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration…

A:

Q: dr 4+x² S Choices: tan ¹(x + 2) + C 1 In x² + 4 +C In x + 2+ C 1 tan 2 1 ¹ 1/2 + +C

A:

Q: 76°F Partly sunny -6-5-4 -3-2 y range 6 5 4 X = 3 2 1 (a) Find h(-2), h(0), h(2), and h(3). h(-2) =…

A:

Q: 1. Eliminate the Y= arbitrary constant 2x 2x Ae ²x + Be²x

A:

Q: Which of the following graphs represents (x-2)² + (y+4)² = 257 1. le - 4 - 7 . $ 4 2 2 2

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 - 6t, where 0 < t < 1.5…

A:

Q: A construction worker is pouring concrete stairs. The first step requires 1.8 cubic feet of…

A: Concept: Arithmetic sequence: The series where the common difference between any two next words…

Q: -5 2 y=f" (x) A description of the graph of f(x) would be: a 4th degree polynomial a downward…

A: There is a given linear graph representation of second derivative f''(x) of a function as f(x). We…