Question 14 π 5ñ Find the area bounded by the trigonometric curves y = sinx and y=cosx from x = —to x== 4 A) 3.667 square units B) 1.414 square units (C) 2.828 square units

Q: fe²x+lnx² sin x² dx = 25-410-312-2 2M 12 e2x cos x² dx

A:

Q: a) 66, 54, 42, 30, ...

A: The given sequence,      66, 54, 42, 30,.....

Q: Evaluate sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after the…

A:

Q: (x - 3y + 3)dx + (3x + y + 9)dy = 0

A: On solving this we will get

Q: dx S can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: What is the approximate value of 24 that is found using the tangent line to at x = 16? Round to the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: 3. Find the average value of the function on the given interval. a. f (x) = 4x − x², [0,3] 2 2 b. f…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Ex: If w cos(uv), u = xyz, y = TT 4(x²+y²)' aw find at point (1, 1, 1). əx

A:

Q: Consider the function f(x) shown in the graph below. (Note that you can click on the graph to get a…

A:

Q: S For x1/2 dx and using the substitution = x1/2, the resulting integral takes the form: x-x3 -du S-…

A:

Q: 7. Show that the equation of the plane that has x-intercept a, y-intercept b, and z-intercept c…

A:

Q: y dy Find ·S- using the substitution +5=√√√y+2 √√y+2 (√x+2-5)(-5√/y+2+y+21) + C © ²/(√x+2-5)…

A:

Q: ydx-xdy + xydy = 0

A: To solve the given ordinary differential equation problem.

Q: 2t Show that f/² sin tdt ≥ 7. (Hint: sin t ≥ ㅠ over [0, 1].)

A:

Q: S The integral S x dx x²+√√x²-1-1 sece tane de sece - 1 sec²0 do 1+tano cose dᎾ 1 - sino sine de 1 +…

A:

Q: To evaluate [x²cosx dx' -2 / COST. 2sinx -2/cosx 2 / COST x2sinx – 2x cost x2sinx+2x cosx − 2 x2sinx…

A:

Q: 19

A:

Q: ow that lim (x,y) → (0,0) 4 3x² + y² 5y does not exist.

A: To show that limit does not exist.

Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

A: SOLUTION-

Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…

A:

Q: ·S- x² + sece tane de sece - 1 e integral sec²0 de 1+tan cose de 1-sin sine de S x dx can be…

A: We have to find the integral

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

A:

Q: Evaluate Stan" (x) sec¹x dx*

A:

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) b) has…

A: vector equation of line

Q: To test an individual's use of a certain mineral, a researcher injects a small amount of a…

A:

Q: Evaluate only four integrals of the following integrals: 1/4 1 dx (i) dx (ii) J √1-9x² sin (3x) 0…

A:

Q: 2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³…

A: Topic:- application of integration

Q: Question 6 6dx For the method of partial fractions, to evaluate S90 -1 = S Adx + S = X-1 Bdx X+1'…

A:

Q: Solve the following trigonometric equation for 0 ≤ 0 < 2π. Show your work. 4 cos²x 3 =

A:

Q: QUESTION 12 Evaluate Stan" (x) sec¹x dx 1 -tan (m + 1)(x) + m-1 -tan (m + 1)(x) - — ¹ m-1 -tan (m +…

A:

Q: 7. xdy = (5y + x + 1)dx Ans: y = -x-+cx5

A:

Q: e formula C = (F-32), where F2-459.67, expresses the Celsius temperature C as a function of the…

A: Topic:- function

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: Use the slopes of tangents to determine whether the function -6x2+36x is increasing, decreasing, is…

A: Given function, f(x)=-6x2+36x We know that function is said to be increasing when f'(x)&gt;0, and…

Q: measured each day for several days. Suppose To test an individual's use of a certain mineral, a…

A: The amount of the mineral remaining in the bloodstream t days after the initialinjection is…

Q: 154. Use the Fundamental Theorem of Calculus, Part 1, to find sin x d dx √1-t²dt.

A: Topic = Derivative

Q: Use the limit definition of the derivative to find the instantaneous rate of change o ƒ(x) = 5x² +…

A: We have to find rate of change

Q: Let S be the solid inside the sphere p _ 6cos@ and below the cone Ø = π/4 Find the volume of the…

A: S be the solid inside the sphere ρ=6cosϕ and below the cone ϕ=π4

Q: 36. Let d; denote the hours of daylight and 8; denote the increase in the hours of daylight from day…

A:

Q: Pre Estimate the slope (slope = rise/run) of the tangent line to the curve. Q st 6 8 P 9 6 64 4 62 4…

A:

Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A: We  are given the differential equation to be solved    =&gt;       y(y² + 1)dx + x(y²-1)dy = 0

Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4…

A:

Q: 1- Find the inverse of 2=2-51.

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: We have to find the inner radius

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: Given problem:-

Q: $9500   is​ invested, part of it at 11 ​% and part of it at 6 ​%. For a certain​ year, the total…

A: $9500 is​ invested, part of it at 11% and part of it at 6% For a certain​ year, the total yield…