Match the following log expressions to their correct evaluation. 1. 5 1+In(e²)-3log2(4) In(e³) 2. 4 3. 3 4. 2 L

Q: (b) Find a particular solution of y"+9y+20y=6e-5x

A: Particular solution is  −6xe−5xExplanation:

Q: c) Find G, where F(3,-4,5) and FG = 3√

A:

Q: √ √u² – a² du = ½ (u√u² – a² – a²în]u + √√u² – a²1) + - - -

A:

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: 4. Find the inverse of the function, s(t) = √3 - t² - 6

A: To find the inverse of a function y=f(x) , use the following steps .Let y= f(x)Swap the variables x…

Q: Let 4xyz = e². Əz Əz Use partial derivatives to calculate and მე მყ and enter your answers as…

A:

Q: Consider the function graphed below. 7+ 6 5 4 3 AN -6-5-4-3-2-1 2 1 2 3 4 5 Determine the following…

A: 1.)a.) Amplitude: 3b.) Period: 5c.) Equation of Midline: y = 3 2.)A = 5D = 0B = π/7s =…

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a • b = 3.75877  Explanation:

Q: Solve sin(x) = 0.64 on 0 < x < 2π There are two solutions, A and B, with A < B A = 0.6945 B = Enter…

A:

Q: Let S be the part of the sphere x^2 + y^2 + z^2 = 1 that lies above the conez = sqrt(x^2 + y^2).…

A: The objective of this question is to evaluate the surface integral of the function sqrt(x^2 + y^2)…

Q: 20. Given a = [3, −5, 1], b = [−2, 4, −1] and d = [7,3,-2], find a) b.z b) ax c c) 0, the angle…

A:

Q: dy Use implicit differentiation to find without first solving for y. dx x2 4 dy da + = 25 y² = 1

A:

Q: Q.3

A: (a) The series INFINITE SUMMATION n=1 of (n²) / n diverges.(b) The series INFINITE SUMMATION n=1 of…

Q: Does the series converges or diverges? What test do I use to see what value it converges to? What…

A: The given series is converges by comparison test and p-series testExplanation:

Q: Complete the following table with the derivatives. Ensure that you show ALL steps. Simplify your…

A:

Q: 1. Find the domain and range of f(x, y) = ln(x² − y). -

A: To find the domain of range of the following function.

Q: Cost A home improvement contractor is painting the walls and ceiling of a rectangular room. The…

A: Given:A contractor is painting the walls and ceiling of a rectangular room. The volume of the room…

Q: Find the nth term of the geometric sequence whose = 2 and common ratio is 3. initial term is a 1 ап…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate ^3 root (125.1) as follows:Let f(x)…

A: The value of m is:m=751​And the value of b is:b=310​ The approximate value of 3125.1​ is…

Q: A trough with trapezoidal cross sections is formed by turning up the edges of a 54-inch-wide sheet…

A: Given:A trough with trapezoidal cross sections is formed by turning up the edges of a 54-inch-wide…

Q: Please don't provide handwritten solution ....

A: The objective of the question is to evaluate the integral of the function sqrt(3-x^2) + 2x.

Q: just part a please

A: z2sin(1/z)=z−(1/6z)+(1/120z3)−(1/5040z5)+...Explanation:Step 1:To find the Laurent series expansion…

Q: ☐ Let 60, 61. Which of the following must be true if y = log(x)? Check all that apply. ☐ y = b² 1 y…

A: Option C is correct Option D is correct Explanation:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t…

A: (A) The function is discontinuous at t=t2​,t4​,t5​,t7​,t8​(B)limt→t6​​N(t)=5N(t6​)=5(C) Limit…

Q: please solve this

A: Ans :  Volume = 2.24 cubic units ( approximating upto 2 decimal places)Explanation:Explaination:

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6rs, s² 7r). Use the table of…

A: We need to find .

Q: Find an equation of the tangent line at x = a. 2 y=x-xia=2

A: y=x−x2;a=2Using the power ruleddxxn=nxn−1

Q: 1. Find the area between y intersection points. = 3x²+2x+1 and y = 7x+2. Use technology to find the

A: Area = 4.1678 square unitsExplanation:Given curves:y=3x2+2x+1y=7x+2 The curves can be plotted as…

Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation:

Q: Letr→ (t) = 52 √√2t-3,3 sin(-4t) > 5t-2' Find fr→ (t)dt (don't include the +C) fr→ (t)dt = . + C

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: No hand written responses. Please provide a step by step detailed explanation (in laymen terms) on…

A: The break-even point is x=407.46.Explanation:To find the break-even points, we need to set the total…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Final answerlines are paralleli have attached the image below Explanation:

Q: Use the counting techniques. A bag contains two red marbles, three green ones, one fluorescent pink…

A: The probability that she gets one of each color other than fluorescent pink, given that she gets the…

Q: Two forces, one of 35 pounds and the other 50 pounds, act on the same object. The angle between the…

A: The objective of this question is to find the magnitude of the resultant vector of two forces acting…

Q: Please don't provide handwritten solution ...

A: The objective of the question is to find the intersection points of the given equations.

Q: John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height…

A: We need to solve the sinsoudial model problem.

Q: (Text' . | Find a ⋅ b if |a| = 5, |b| = 4, and the angle between a and b is radians. 8 • a b =

A: The formula for the dot product is : a⋅b = ∣a∣ ∣b∣ cos(θ)a⋅b  = 5* 4 *cos(π/8)a⋅b   = 18.4776…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A: The rate at which the volume of the snowball is decreasing (due to the negative value of dv/dt) when…

Q: The Taylor series for f(x) = e* centered at x = Find the first few coefficients. -2 is Σ Cn (x+2)".…

A: Given that the function is               We need to find the Taylor's series expansion at x =-2.

Q: Question 3 Let f(x) = 0 - {rm (4) cos x0 x = 0 " Show that f is continuous at x = 0.

A: we need to show that the function is continuous at x=0.

Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash  drive is given by…

A:

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height,h, is…

Q: A curve is specified as y = 4x √ x² +6 x-axis between x = 1 and x = The region of the xy-plane…

A: Answer: 2.24Explanation:

Q: o 3 π/2 31/2 2TT 511/2 The amplitude is¦ 5 3TT 711/2 The midline is ¦

A: To find the amplitude and midline of the following graph.

Q: x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square…

A: (a)A=x2+x2000​(b)10 meters(c)At the point x=10 , "A" is locally minimum.Explanation:Step 1:Step 2:…

Q: Check all of correct statements about differentiable functions. The derivative of the product of two…

A: We have to find the derivative of algebraic operations on two differentiable functions. Let f(x) and…

Q: let f(x)=(9x^2 +2) ^4 (-8x^2 +9)^10 find f prime of x

A: The objective of the question is to find the derivative of the function f(x) = (9x^2 + 2)^4 * (-8x^2…

Q: let f(x) = x^6 (x-7)^7/(x^2+7)^9 find the derivitive

A: The objective of this question is to find the derivative of the function f(x) = (x^6 * (x-7)^7) /…

Q: Evaluate the integral √¹²x² tan¹(x)dx Give your answer correct to 2 decimal places in degrees.…

A: Therefore, the value of the integral is approximately 13.75  degreesExplanation:To solve the given…