equations. 1. (D2 + D)y = sin x %3D 2. (D2- 4D+ 4)y = e* 3. (D2 – 3D+ 2)y = 2x3 - 9x2 + 6x 4. (D2 + 4D + 5)y = 50x + 13e3* 5. (R3 – D2 +D- 1)y = 4 sin x %3D

Q: A tank contains 7,000L of brine with 17 kg of dissolved salt. Pure water enters the tank at a rate o...

A:

Q: Find the indefinite integra

A:

Q: Lin is looking at cyclic quadrilateral ABCD. he says, "I'm not convinced that opposite angles of cyc...

A: Topic:- geometry

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   −∞ x (x2 + 4)2 dx

A:

Q: An+1 +00 to determine if the sequence { ne" }" is strictly increasing or strictly decreasing. An Use...

A: We will determine that given sequence is increasing or decreasing.Below find the solution in the ima...

Q: Professor Easy's final examination has 11 true-false questions followed by 3 multiple-choice questio...

A: Given:    11 true-false questions followed by 3 MCQ

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: sin ( 5z) If y = (5x) then dy dx (Be sure to express your answer in terms of x)

A: To find derivative, we will first take logarithm on both sides and then differentiate it .

Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

A:

Q: 1. y = x², y = vx, x=7 x = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not evalua...

A:

Q: If z = 9x2 + y? and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz. dz =...

A:

Q: 1. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos'x- 1) dx = 0 2. xy' =2xex ...

A: As you have asked for question number 5 only, so I am solving that.   We know, ∫xdx1+x2=1+x2+C, C is...

Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

A:

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

A:

Q: E=メ (x)NIb=R TANGET Nge of EQUATION 12)

A:

Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

A:

Q: (a) Evaluate sin 2z -dz, 3z -ĝi where C is an anticlockwise unit circle centred at the origin.

A: Follow the procedure given below.

Q: Find the area of the largest rectangle that can be inscribed in the ellipse b2

A:

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A:

Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal...

A: We need to choose correct options.

Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 Xa Xa lim p(x) = ∞ lim q(x) = 0, xa evaluate the l...

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

A:

Q: Which term best describes the mapping shown? a. relation b. function c. one to one function

A: Given query is to find mapping is a relation or function.

Q: хр x?V25 - x

A:

Q: In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and ...

A:

Q: 3(-2х + 2)5 3. y=x²e5x – + sin? (– 3x) (x – x*)"

A:

Q: Find constants c1 and c2 such that: G(x) = c1xe^−x + c2e^−x is an antiderivative of g(x) = 3xe^−x. ...

A:

Q: use implicit differentiation to find

A:

Q: QUESTION #5 DEMAND FUNCTIONS The demand function for the Sicard wristwatch is given by 50 d(x) = (0 ...

A:

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the sa...

A: let the two numbers be x and y so  x×y=36sum=x+y since         xy=36⇒y=36x Substitute y value in sum...

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x...

A:

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the Iterations until two su...

A:

Q: Consider the following sequence: +00 7" {an} = n=1 An+1 to show that the given sequence {an} is stri...

A: Given that: {an}=7n6n21∞

Q: Let h(x) = f(x)*g(x), and k(x) = f(x)/g(x). g(x) has points (-2,-1), (-1,-2), (1,0), and (3,2). f(x)...

A: see below the answer

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an ordere...

A: The supply and demand function,Sx=4x2+11x+43Dx=115-x

Q: Find equations of the tangent lines to the curve 2y² + xy – 3x² 8 at the point or points where x = 0...

A: The curve 2y2+xy-3x2=8 at the point where x=0

Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

A:

Q: 8. Calculate the unit rate. Over the weekend, Mr. Quinn burned some CDs with his favorite songs from...

A: Given Total song burner=275 Total number of CDs is used=25

Q: Solve the following using a +/- table, making all of your thinking visible (r-2) (x+1) (4-x)(x+5) > ...

A: Find your answer below 

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where ...

A: topic - translation of a function

Q: This answer is not correct

A: Given that: limt→09t1+t-9t

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), u = (5,2, –...

A:

Q: The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to co...

A: As per Bartley guidelines we are supposed to answer only three subparts of one question.  This post ...

Q: |(n+1)!] n!

A:

Q: sechudu - 2tan".c -tan (sinhu) - C

A: Use the exponential form of sechu and easily prove the integral.I have used many inverse trigonometr...

Q: When x is less than or equal to 2, what equation is shown in the graph? a. f(x) = | x - 1 | b. f(x)...

A: Given question:- When x is less than or equal to 2, what equation is shown in the graph.

Q: 1. (a) Consider the following equation: xy dy – (3x² + 4y²) dx = 0 (1) State the order of the equati...

A: First order Linear differential equation :                     dydx+P(x)y=Q(x) ; where Both P(x) and...

Q: Rewrite the equation as a quadratic in cos x, and then factor. 36-36 cos^2(x)=36-18 cos(x)

A: factors are:-

Q: Consider the function if æ 1 f(x) = Evaluate the definite integral. | f(2) dz -2

A: Given query is to find the value of the integral.