Prove \int \frac{sin\left(x\right)+cos\left(x\right)}{sin^2\left(x\right)}=-ln\left|csc\left(x\right)cot\left(x\right)\right|-csc\left(x\right)+C

Q: Find the linear approximation of the function at the given point. f(x, y)=-3 sin x + 5 cos y at (0,…

A: To solve the following

Q: Suppose (t) satisfies the following conditions: dx dt || 7e 7, x(0) = 5.

A:

Q: f(x) = 2x^2 + 3 Find the equation of the tangent line to f(x) at x = -2.

A: Given: f(x)=2x2+3 We are required to find: Find the equation of the tangent line to f(x) at x=-2.

Q: Find the interval on which the curve y = | =5₁²₁ X 1 3+t+4+² dt is concave upward. (Enter your…

A:

Q: Q3: Determine for each of the following functions, Inflexion points, where f(x) is convex, concave,…

A: As per rules we answer only one question at a time. For other questions please repost again.

Q: 19

A:

Q: The height of an object t seconds after it is dropped from a height of 280 meters is s(t) = -4.9t² +…

A: Average velocity = total distancetotal time Mean Value Theorem The mean value theorem states that…

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v(ft/s) 0 6.7 11.2 15.5 18.8 19.8 20

Q: Find the maximum for the profit function, P = 15x + 25y subject to the following constraints. 3x +…

A:

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. 42)…

A:

Q: (a) Solve the following differential equation dy x+√√xy

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

Q: (A) Find the Laplace transform L{f(t)} in terms of s. If f(t) = 8t* + sin(2t) - e-st

A:

Q: f(-2)=-13 and g(-2) = 11

A: f-2=-13 and g-2=11

Q: K Integrate. f5x² sin ( 5 ( - 13 x ² 5x sin (8x) dx = 5 x cos(8x)+ 1 256 (8xsin(8x)+cos(8x)) +C

A: Given data:- integrate ∫5x2 sin8x dx=5(-x2cos(8x)8 +1256[8xsin(8x)+cos(8x)])+C

Q: a) Sketch the region S enclosed by the curves y=x²-3x and y = 2x - 6. b) Find the Area of the region…

A: We are authorized to answer one question at a time, sp we are answering the first one. Please repost…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 8 X = [₁² ( 4 ² - 1) ³de…

A:

Q: Work Problem 1 a) Sketch the region S enclosed by the curves y=x²-3x and y = 2x - 6. b) Find the…

A: NOTE: Refresh your page if you can't see any equations. . the given equations are

Q: Need an help The height of an object t seconds after it is dropped from a height of 280 meters is…

A:

Q: Solve for x: 53x+6 X = = 625

A:

Q: Find the relative extreme value of the function. f(x, y) = x³ + y³ - 24xy

A: Let's find the partial derivative of f(x,y) w.r.t x and y  ddxf(x,y)= 3x2-24yEquate ddxf(x,y) to…

Q: √√3 X 3x² + 10 -dx

A: Integral using u-substitution

Q: Find the first five non-zero terms of the Maclaurin series for f(x) = sin(x). Written compactly,…

A: Maclaurin series is a special case of Taylor series. To obtain the Maclaurin series we just take…

Q: in converted to an iterated integral, the following double integral is easier to evaluate in one…

A: we have to find the following double integral

Q: Set up an integral for the area of the surface generated by revolving the given curve about the…

A:

Q: Evaluate A. 2/3 B. 4/3 */2 12 000 C. 1/3 D. 5/3 [zdz r²dr sinu du.

A:

Q: Let f(x) = logox and g(x)=₁*. For all x g(x).

A:

Q: 2 Graph g(x)=+3x-10 Clearly show all asymptotes, and the behavior of the function near the…

A: We are given the following.

Q: Farmer Jones and his wife, Dr. Jones, decide to buil a fence in their field to keep the sheep safe.…

A:

Q: Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (x + z², xz + y², zx - y)…

A:

Q: Find the total area of the shaded regions. Q The total area of the shaded regions is (Type an…

A:

Q: If the equation of the tangent plane to x²+y²-1372²=0 at (1,1,√2/137) is x+ay+Bz+y=0, then a+ß+y=

A:

Q: Find the area of the region bounded by y2 = 8x and y = 2x. A. B. C. D. 1.22 sq. units 1.33 sq. units…

A:

Q: Convert the value (10111011010001011101)2 to Base 10 using the equation method

A:

Q: -6 4 -2 y 2 -2 2 4 i

A:

Q: -Find the integral of [ (e exp x-1] divided by [e exp x + 1] dx A. In (e exp x-1) square + x + C In…

A:

Q: ind each limit. f(x, y) = = (a) 3 (b) 1 3 x²y x + y lim Ax → 0 lim Ay → 0 f(x + Ax, y) = f(x, y) Ax…

A: We need to evaluate the limit of given f(x,y).

Q: Solve this without using u substitution

A:

Q: Find the area of the region inside the circle r=-6 sin 0 and outside the circle r = 3. The area of…

A:

Q: If C is a circle with radius 5 traversed (traveled) exactly once, Jo then ds = 10T.

A: C is a circle with radius 5 transversed exactly once

Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1 tan x csc X = f(x)…

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. lim_sin-¹(x) 4x x →0

A:

Q: The graph of y = f(a) is shown below. How could we restrict the domain of f(x) so that it is…

A: given function has domain [-7,5]

Q: = y. Find the area of the region between the curves 4x + y² = 12 and x = Area between curves =

A: The equation of the curves are as givena) 4x+y2=12 and x=yb) y=4sinx ,y=4cosx form x=0 to x=0.4π

Q: Write the equation for the plane. The plane through the points P(5, -3, 10), Q(-3, -2, 29) and…

A: Given  Plane passing through three points P(5,-3,10), Q(-3,-2,29) & R(-1,4,-7)

Q: Express the following sums using sigma notation. ... +99 a. 1+3+5+7+ b. 6+11+16+ c. 9+15+21+ d. 1…

A: It is given that, a. 1 + 3 + 5 + 7 + …..+ 99b. 6 +11 + 16 + …...+ 46c. 9 + 15 + 21 + …...+ 81d.1/(1…

Q: Find the area of the region bounded by the curves y = x ^ 2 - 4x and x + y = 0

A: The equation of the curves are C1: y = x2-4xC2: x+y = 0 ⇒ y =-x  To determine: The area of the…

Q: This exercise uses the population growth model. It is observed that a certain bacteria culture has a…

A:

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 13 169-x2 S -13 0…

A: I = ∫-1313∫0169 - x2dydx The given integral represents the area covered between the intervals, 0 ≤ y…

Q: determine the volume of the shape obtained by rotating the region bound by y=√x and y=x^2 around the…

A:

Q: Can someone please explain the steps? Use the method of tubes (also known as the "method cylindrical…

A: We have to find the volume of the solid using method of cylindrical shells.