A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find sin A, tan A, and cos A. sin A = В 25 7 tan A = A 24 cos A =

Q: the solid obtained by revolving the region bound ed by Find the volume OF about the X - axis the 2…

A: The region bounded by the x-axis, y=x2,x=0,x=2 is:

Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: [² + y²) dA; R = {(r,0):0 srs 4,0 s 0 < 27}

A:

Q: csc x (cos? x – 1) dx

A:

Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: This is a problem related to permutations and combination. Based on the general formula and concepts…

Q: y2+x2 5- y' %3D y(1) = -2 xy

A:

Q: Evaluate the integral: V3 S arctan () da *Input answer as decimal round-off to 2 decimal places.

A: Given :∫13arctan1xdx

Q: Evaluate 4 dx V4-x2

A: To find out the integration.

Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy + yz + zx, Po(2, -…

A: The given problem is solved below in detail.

Q: Let D be the region bounded by a curve x + y3 D (Parametrise the curve so that y/x t.) 3xy in the…

A: Given that D is the region bounded by the curve ?3+y3 = 3?y. The curve is to be taken as y/? =t.…

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x 1+lnx b) y = -

A:

Q: a) Prove that, the characteristic of an integral domain R is either zero or a prime number. b) Let G…

A: Please follow the next step.

Q: INO Practice Exercises: Find the volume of the solid generated when the plane region bounded by axis…

A:

Q: Please

A: We will solve the integration.

Q: Find the directional derivative of the function f(z, y) = In(z° + y*) at the point (3, – 1) in the…

A: We can solve this as follows:

Q: (4x – 5y) lim (x,y)→(1,1) 5x² – 7y O -1/2 O 1/2 Limit DNE

A:

Q: 2-the region bounded by y= .the x- axis.x = 2 and x = 3 is revolved about the y-axis find the volume…

A: The region bounded by y=1x, the x-axis, x=2 and x=3 is revolved about y-axis.

Q: Use substitution to find the indefinite integral. 6 10(1

A:

Q: B. Let G be a group of order 60. Is there exist a subgroup of G of order 24? Explain your answer

A: Given :G be a group of oder 60

Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

A:

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n- lim Submit Answer

A: To find the value of: limn→∞∑  i=1n3+in2n=limn→∞2n∑  i=1n3+in=limn→∞2n3∑  i=1n1+1n∑  i=1ni...(2)

Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

A: This is a problem related to integration. Based on the concept and formula we will answer the…

Q: Given the function f defined as: f: R-(2} R X+4 f(x) = %3D 2x-4

A: Here, the given function is: f:ℝ-{2}→ℝ and f(x)=x+42x-4

Q: 5) A cup of coffee cools at rate proportional to the difference between the constant room…

A:

Q: uppose that w = f(x, y, z), where z = r(u, v), y = y(u, v), and z = z(u, v). 'hich of the following…

A:

Q: 7. A(2,–3) and B(5, 1) are two points in R². Determine the following: a) AB b) |AB| c) a unit vector…

A: We can solve this as follows:

Q: If = 27- 67 + 2k and y = i+3 - k, determine + 25.

A: Topic = Vector

Q: Q1: Define each of the following b) Normal group c) Nilpotent element d) Prime ideal e)Field.

A: Define each of the folowing:- b) normal group c) nilpotent element  d) prime ideal e) Field

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

Q: please

A:

Q: Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0…

A:

Q: For each of the following, determine whether the expression is positive; negative; or zero. (You may…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: 2. Find the volume of solid generated by revolving the area bounded by x=y²+2 , x=0 and y=2 sbout:…

A: Solution is here

Q: x²(3 –4x)dx -4 318 338 358 378 None of the Above

A: Given: I=∫-4-1x23-4xdx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: X+ 0.4Inx 04. lim, X+3lnx

A:

Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: Write an equation for the line that passes through the point (7, - 4) and is perpendicular to 3x -…

A:

Q: 4 Points SKETCHPAD Question 7 Leaving in algebraic form, solve the following system of equations us-…

A: Please refer to the image below

Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: lim メ→

A: This is a problem related to limit and continuity part. Please follow the procedure given below.

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by y=.…

A:

Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: 1. Using proof by contradiction, prove Let n be an integer. If n- is even, then n is even.

A:

Q: Evaluate the following integral. Expand the integrand and write the resulting integral. | dx (Type…

A: Given:         ∫6x2x2+9dx   Expand the integrand.      =∫6x2·x2+6x2·9dx         =∫6x4+54x2dx

Q: Suppose that f(z, y) = x² – zy + y? – 5æ + 5y with z + y? < 25. 1. Absolute minimum of f(x, y) is 2.…

A:

Q: (zx" xy') dx:-3xy dy

A: Given that a differential equations and we solve this problem by using general property of…