y = ln x and x - y -4 = 0

Q: (D² - 6D+9)y = 0

A:

Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 47

A: I am attaching image so that you understand each and every step. Answer is 227π512 square unit

Q: 21) f(x)=47x A) (4 ln 7)47x Write summation notation for B) (7ln 4)47x x(In 2) C) (In 4) 47x x(In x)…

A: Finding the derivative of f(x)

Q: Find the area of the region that is outside the cardioid r = 7(1 – sin ) and inside the circle r =…

A:

Q: 4) A headboard for a bed is built in the shape of a semielliptical arch. The headboard will be 8…

A: Given; a=4, b=3

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Given :f(x)=x3-sin2x+1=22.688

Q: x-y (x,y) →(0.0) x + y 2.) Prove that lim does not exist.

A:

Q: Prove that if w=f(x, y, z), x=r-s, y=s-t, and z=t-r then dw dw dw + + = 0. dr ds ôt

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Q: Find the eigenvalues λ₁ < ^₂ < 3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix 0…

A: Solve by matrix

Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. N -2- At what x values does A(x) have a local…

A: Ax=∫0xftdt, with f(x) shown in the graph.

Q: Determine the following limit at infinity. lim f(x) X→∞ 9(x) if f(x)→700,000 and g(x)→∞o as x→∞ Find…

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Q: 6 300 m 10. Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at…

A:

Q: Find the unit normal to the surface z=2+2z^2-3y^3 at the point (1,-1,7), pointing down with respect…

A:

Q: Find the center, foci, and vertices of the ellipse. Graph the equation. (x+5)² (y-4)² = 1 16 4 +

A: Given: x+5216+y-424=1

Q: O -2 -2 Convert the given polar coordinates to rectangular coordinates. (x, y) = (b) Graph the point…

A:

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find laplace inverse of given function.

Q: 3. Find 1. Lim f(x) 2. Lim f(x) 3. Lim f(x) 4. Lim f(x) n→∞0 n→ ∞ n→0+ n→0- x < 0 When f(x) = -&…

A:

Q: a) Find the area of the region enclosed between the curve y = x² and the line y = 4x. b) Find the…

A: The objective is to find the area .

Q: 412 Evaluate the integral (x² + y² + z²) dz dy dx. SSS 000 412 SS S (x² + y² + z²) dz dy dx = [ 000…

A:

Q: (5) Σ.1 η=1 η! 102n-1

A:

Q: Please

A: Please refer to the image below

Q: Write the given statement into the integral format. Find the total distance if the velocity v of an…

A: The velocity of an object v=t2-3t+2 m/sec. over the time period 0≤t≤2

Q: Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x²…

A: To solve the given integral.

Q: Determine the equation of the ellipse with foci (-8, 14) and (-8, -16), and co- vertices (0, -1) and…

A:

Q: Find all the values of x such that the given series would converge. 8" (x)(n+1) (n+8) n=1 The series…

A:

Q: Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

A: The given curves are; y=8x, y=2x, y=0 and x=3. Now find the point of intersection between the curve…

Q: nd the area (in square units) of the region under the graph of the function f on the interval [5,…

A: Given query is to find the area under the curve

Q: n 2sin(x)=1, on the interval 10, 2π], what is the value of x?

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

Q: ∞ Find the interval of convergence for n=1 The interval of convergence is a E (x − 4)" n² 3n

A:

Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: 5. Let f(x)=log, (x+1). a. Complete the table of values for the function f(x)=log, (x+1) (without a…

A: We are given f(x) = log3(x+1)  We have to find  Values of f(x) for following values of x without…

Q: Write TRUE or FALSE before each statement. Solve yy= - dependent variable. Statement 1. The…

A:

Q: Suppose that f(4) = 2 and f' (4) = -1. (a) h(x) = (2x². 2x² + 31n (f(x)) h'(4) = (b) h(x) = 20f(x)…

A:

Q: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

A:

Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: incorrect please re-provide

A:

Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: y = 4 +2x + x2 A =∫-3-1f(x)dx A = ∫-3-1 4 +2x + x2dx A = [4x +x2 +x3/3]-3-1 A = (-4 +1 -1/3) - (-12…

Q: Integrate (three) of th 1) f sin6x cos3x dx

A:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A:

Q: An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the object T(t)…

A: Given, An object is placed outside on a cold day at time t = 0 minutes.  The temperature of the…

Q: Find all the values of x such that the given series would converge. 8 3n (x2)(n+1) (n + 5) n=1 The…

A:

Q: Find f(x) by solving the initial value problem. 5 f'(x) = 2x + 5ex + —; X f(x) = f(1) = 6 + 5e

A:

Q: its wrong please re-provide

A: This question can be solved using integration by substitution.

Q: The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of…

A:

Q: Find the length of the arc of a circle of diameter 8 meters sub tended by a central angle 2pi/3…

A: Let "θ" be a central angle in a circle of radius "r". Let "s" be the length of the arc cut off by…

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 1) L-1…

A: Given problem:- Find  L-1[(-3s2 -12s-8)/(s+2)3]

Q: Find the divergence of the following vector field: 00 O 2z O F = (y, -x + z², 3x)

A: We can solve this as follows:

Q: √√3+ rdr then 0 (2)=√√3+230 I X

A:

Q: The extreme value asian food truck sels 800 BBq buns per week at aprice of$1.50 each.For every $0.10…

A: Explained below

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Here, given that force can be described by: f(x)=x3-sin 2x+1 And, no other force acting on the box.…