10- 11- 12- In 2 log₂x X 2 log10 (x + 1) x + 1 dx x log10 x 0 S -dx -dx

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

A:

Q: =iven √x³√4-x² dx. If we letz= √√4-x², which of the following integrals is correct using…

A: We have to substitute z=√(4-x^2)

Q: y = e²x and x - 2y + 5 = 0

A:

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. √3x²+4-4 (a) lim x-2x²…

A: a) limx→23x2+4-4x2-x-2b) limx→326x2-11x+38x3-27

Q: ·Sa 20. x² dx (x − 1)(x² + 2x + 1)

A:

Q: If 2 = (6,-5) and a = (-2,6), find |2+3.5d |. O 5√11 O √146 O 16 2√73

A: topic- vectors

Q: Y = resin r sin a

A: Given

Q: Consider the following graph. Step 1 of 2: Determine the intervals on which the function is concave…

A:

Q: 3. What is the height of the right circular cylinder with greatest volume that can be inscribed in a…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve the following second order differential equation, clearly showing all calculation steps d²y dy…

A:

Q: Suppose that f(x, y) = y√√³+1 on the domain D = {(1, y) | 0 ≤ y ≤z≤ 4}. Q Then the double integral…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

A:

Q: Can the Squeeze Theorem be used to determine lim f(x) when I(x) ≤ f(x) ≤ u(x) on (7,8) U (8,9) and…

A: In this question, we will see the properties of squeeze Theorem.

Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and = . The volume of the solid formed…

A:

Q: Evaluate the following limits: 2. lim G(x) if G(x) = = x →-00 x+61 x+6 2

A: We have to find the limit

Q: c) A loan of $A is made on 20 April 2015 at a simple interest rate of 6% per annum. The accumulated…

A: Please refer to the image below

Q: sider the function p 3 of 3: Find lim f(x). x--6 f(x) = = lim f(x) x--6 Sx² + 12x + 22 19x + 100 if…

A: Topic:- limit and continuity

Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

A:

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: lim (-5) (²²-4x-5) x-5,

A: NOTE: Refresh your page if you can't see any equations. . first, we need to find the factored form…

Q: 9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give…

A:

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: 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: find differential equation of the following equation 3) dy +xsin(2y) = x cos² (y)

A: Given

Q: The price per square foot in dollars of prime space in a big city from 2010 through 2015 is…

A: According to Bartleby guidelines I can only answer the first three questions given.

Q: The question is in the image attached

A:

Q: Let the vector v have an initial point at (2, −6) and a terminal point at (6, –4). Determine the…

A: To find out the components of vector v.

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

A:

Q: 2) Given that f(x)=-4x+8, what is the average value of f(x) over the interval 1-5,-3]

A:

Q: ● -5 13 10 5 Enable Zoom/Pan x -10 10 5 Keyboard cting a radio button will replace the entered…

A: We will solve the limit.

Q: Find parametric equations for the tangent line to the curve given by x=ln(t+1), y=tcos2t, z=et at…

A:

Q: Vector A) Prove that: V × (F×G) = (GV)F- (FV)G+ F(VG) - G(V-F). m) Find all of the second…

A:

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for r 2

A: Please see the the answer below.

Q: Find the divergence of the following vector field: 0 O 2z O O F = (y, -x + z², 3x)

A:

Q: V = πT -0.5x Sin 4x 4 +8x-cos2x 2 - X²-4 2²- 19.5x 1.478 -1-082

A: To determine the limit of the following equation.V=π-0.5×sin 4x4+8×-cos…

Q: The components of vectors A and B are given as follows: A=5.1, A = -5 X y B-2.6, B = -4.3 X y What…

A: We have to find magnitude of vector sum A+B.

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

A:

Q: 62-24 x²+2x-8 5. Analyze the function from its equation y determine the non-permissible value(s) the…

A: The non-permissible value of a rational functions are obtained by equating the denominator to zero.

Q: Δ Ο Ο

A: Given; M=5 units , T=4 units

Q: Find the general antiderivative of f (x) = 4 x ln x²

A:

Q: 1. Given f(x)=x+5 and g(x)=x²+8x+15 Sketch the graph of y=- _f(x) g(x) Mark the asymptote(s),…

A:

Q: ol Down: Two Reflections . Graph the function g given by g(x) = -f(x). 2. Graph the function h given…

A: Reflection

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

A:

Q: √√3+ rdr then 0 (2)=√√3+230 I X

A:

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

A:

Q: lim,+-1 f(x) = $1 # 1 affe # HE 3 52 #1 0 EM 0

A: The objective is to evaluate the limit.

Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

A:

Q: II. (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) Investigate…

A: we have to check continuity at x=1 for the given function

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

A:

Q: Given the function f(x) graphed above, find f^-1 (5)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…