integral sin ³0cos Odt sin20 2 sin²0 = 1 - cos²0 1+ cos20 cos²0= 2 1- cos20 (D) sin²0= 2 To evaluate the (A) sin cose = B sinocos ᎾdᎾ by trigonometric transformation, we use the identity;

Q: Question 1 Solve the integral: Seln(2x²+3x-4)³ (4x+3)dx A eln(2x²+3x-4) (4x+3) 3(2x²+3x-4)…

A: To evaluate the given indefinite integral.

Q: (2) secxtanxdx e definite integral by substitution: -21 1- (2) dx (3) [x√x-2dx

A: We have to find the value of the given definite integral according to the given information

Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: dx √81+16x² S

A:

Q: (1) Estimate the area under the graph of f(x) = 1/x from x= 1 to x=2 using five approximating…

A:

Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x=3. -X A (e³+ 1)² e3 sq. units (e³-1)² e3 sq.…

A: Option (B) is the correct answer.

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A:

Q: 3. Evaluate the integral: (1) (u-2)(+3) du @[²7/1 dx (3) rπ/3 cscxcotxdx

A: topic- definite integral

Q: The integral of x^7(2x^6 - x^8) dx with limits -5 to 5

A: Evaluating the definite integral

Q: Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and inside…

A:

Q: Evaluate the following integrals using (a) Trapezoidal Rule and (b) Simpson Rule by finding such…

A:

Q: 2) x² + y² - 16x + 18y +96= 0

A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

Q: y = tan e³x + etan3x

A: (tan x)' = sec2(x) (eax)' = a eax.

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship…

A:

Q: II. Let F(x)= ecosh z √x+1 1. Find F(0). 2. Find F'(x). sin(1-t) dt.

A: Let Fx=∫x+1cosh x sin1-t dt.1 To find F0.2 To find F'x.

Q: x + 2 Determine the case of the following proper rational function after simplification: (x² - 4)(x³…

A:

Q: Solve the int B ²+3x-4)³ (4x+3)dx integral: Seln (2x² + 3 eln(2x²+3x-4)³ + C (2x²+3x-4) (-4)³² (4x +…

A:

Q: Evaluate the improper integral A 0 B (C) 2 9 mit 3 4 √1²23 3³/30 D) diverges dx

A:

Q: Solve sin² C cos²x = 1 on the interval 0 < x < 2T. -

A:

Q: Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at Spudnickville Golf…

A: In order to find the distances through river and ground to reach in minimum time, total time taken…

Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: limit of integration

Q: Determine whether the correspondence is a function. Domain Range 1 22 20 7 7 6 Is this…

A:

Q: (a)Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 2 using five approximating…

A:

Q: Which of the following is NOT a method for finding volume of solids of revolution? A) washer method…

A: Conic method

Q: CALCULUS 2 1200-1330 TTh CALCULUS 2-FINAL TERM Exam 90 minutes remaining Oi Test Content Question 1…

A: Solve it

Q: (1) y=x, y=2-\x/ (2) y=1/x², y = 8x, y = x/8

A:

Q: Evaluate the improper integral A 0 (B 4 C diverges 2 D 9 mit 2 3 -2 X 3 dx

A:

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A:

Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: d If g(x) = - S* [e'− ln(2t+1)]dt, find g''(x) dx -2 2 A ex. (2x + 1)² 4 (В B et + (2x + 1)² Ⓒe*…

A: Given that gx=ddx∫-2xet-ln2t+1dt

Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: 2 1) x² + y² + 18x - 26y +246=0

A: Topic = Equations Only question 1 is answered , As per asked by student.

Q: Find the upper sum for f(x) = 2- 10 on the interval [-4,-1] using 3 rectangles. 10 Submit your…

A: Formula: Area = ∑Δxf(x)

Q: Determine the integral: x²cosxdx A x²sinx + 2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C C…

A: integration

Q: y = 3t 1+t³ X= 3t 31² 1+t²³

A:

Q: If f(x) = (A) B - St √1+1² 1+e' 0 In (secx) √ 1+tan²x tanx 1+e 1+tan²x tanx D tanx 1+e sec ³x 1+…

A:

Q: Find the slope, if it exists. x = -6 Select the correct choice below and fill in any answer boxes…

A: Given x=-6 The graph is

Q: 25 5+7x x dx

A:

Q: 1 H 0 1 2 3 4 5 6 What are the domain and range of its inverse? O Domain: {y|1 ≤ y ≤5, ye R} and…

A: The domain of a function f(x) is the set of all possible values of x for which f is defined. The…

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3

A:

Q: What is the equation of a line with a slope of 5 and passing through the intersection of the lines…

A:

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A:

Q: x² 29. Evaluate the double integral JJ dA, where R is the + 25 9 R elliptical region whose boundary…

A:

Q: (b) En=1 m

A:

Q: let W = (x₁ +₁2) be jointly discrete. valid joint pdf a random vector. Contract of W (with atleast…

A: answer is in next step

Q: 2. Find an equation for the plane that passes through the points P=(2,-1,3), Q = (0,0,5) and…

A:

Q: f(x) = Jax+b (2x²-1 if x < 2 if2 ≤ x

A:

Q: When applying integration by parts to the integral I = [In(h (x))da, with h a differentiable…

A:

Q: Find the area bounded by : f(x)=e*, g(x)=e¯* and x = 3. A (e²+ 1)² e² sq. units B (e³-1)² e3 (e²-1)²…

A:

Q: y = 5 tan x³ + sec(3x)

A: