Please solve and show all work. Let y = (x² + 1)³. Find the differential dy when x = 2 and dx = 0.4 Find the differential dy when x = 2 and dx = 0.05

Q: find the area of the region bounded by the curve y=x^2-1 and the line y=35

A: The area of the region bounded by y = x2 - 1 and the line y = 35 First find the intersection points…

Q: [e-32-2³ d. z. Write your resul in the form- Carry out the following integration: ea -3-322+c. What…

A: To find the value of alpha.

Q: e number of vehicles (in millions) as a function of t, the number of years since 2000. Use the…

A:

Q: Question 6. Use this theorem to construct a polynomial with integer coefficients of degree 6 which…

A: The polynomial of degree 6 with integer coefficients is given by y=(x-a)p*(x-b)q*(x-c)rwhere, a,b,…

Q: The isotope of plutonium 238 3.5 kg of Pu. Part 1 of 2 (a) If the half-life of Part: 1 / 2 238. Pu…

A:

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log₂ (x + 3) =…

A: Solve the logarithmic equation for x  log2(x+3)-log2(x-3)=3

Q: For the following polynomial function f(x)= x³ + 2x2-x+1, find the lower bound within which all of…

A: f(x)=x3+2x2-x+1

Q: Evaluate (x - 2y +z) ds. S: z = 3-x, 0≤x≤ 3, 0sys2

A:

Q: Consider the following total revenue function for a hammer. R = 36x − 0.01x2 (a) The sale of how…

A:

Q: Modeling with Piecewise Linear Functions Many relationships that we observe do not fit a simple…

A: Piecewise function is a function with different sub-functions that rules along different values of…

Q: you copy given function long

A:

Q: The area under the graph of f over the interval [-3, 3] 15 ifx<1, f(x) = 5x², ifx ≥1

A: Integration is the process of finding the antiderivative function of the given function. When the…

Q: The rate at which an animal population is changing is given by r(t) = 30 cost animals per month,…

A: (a) Given that, the rate at which an animal population is changing         r(t) = 30 cost The…

Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 8s +…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Find the Maclaurin series of 8* . Σ

A: Maclaurin series of f(x) is ∑n=0∞f(n)(0)n!xn

Q: Use algebra to evaluate the following limits. x-6 lim a) x6 3x² - 12x - 36 lim b) x-0 x² + 2x² + 7x…

A: Make the factor or cancel the term for finding the limits .

Q: 1. The quadrilateral ABCD is shown to the right. Suppose u = DC and = AD. Further suppose that BC =…

A: Given: Quadrilateral ABCD in which u→=DC→, v→=AD→ and 3v→=BC→ We are required to find: a.…

Q: This exercise uses Newton's Law of Cooling. A hot bowl of soup is served at a dinner party. It…

A:

Q: Evaluate the integral of sin x dx from 0 to 7/2. K

A: I=∫0π2sin6xdx

Q: If the profit function for a product is P(x) = 6400x + 80x2 − x3 − 250,000 dollars, selling how…

A:

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

A: x=4y2,x=4+3y2

Q: k0 k8 k=1k¹¹ + 3 5 ln k k geometric series r> 1. Prove these fa and the Root Test. W series using…

A:

Q: E. Transfer Function. Determine the Transfer Function of the following systems. 10) y"(t)- 2y' (t) =…

A: To determine the transfer function of the given system, we need to take the Laplace transform of…

Q: Determine the most possible complex zeros of the following function: f(x) = 3x¹ + 6x¹4 - 7x¹5 + 13x…

A:

Q: The boat is moving at 10m/s when its engine is shut down. Due to the hydrodynamic drag, its…

A: The given information are: When t=0, then v0=10 m/s and a=-0.05v2 . The information that needs to be…

Q: Find the solution of the following initial value problem. 9'(x) = 7x [xº - 17); The solution is g(x)…

A:

Q: For the function g(x) = 2x³ - 24x+9 a. Find the critical numbers b. Use the first derivative test to…

A:

Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

A:

Q: If log(5) + log(y) = log(z), then 5 + y = z. ---Select--- V If In(5x) = In (y), then 5x = y.…

A:

Q: 4) f(x) = ln(1 + 3x)

A: To solve the following

Q: Solve for x: log₂(log₂ x) = 4 X =

A: Given : log2(log2 x) = 4 To find : value of x

Q: Write an expression in factored form for the polynomial of least possible degree graphed below.…

A:

Q: he polynomial of degree 4, P(x), has a root of multiplicicity 2 at x=4 and roots of multiplicity 1…

A: The polynomial of degree 4, P(x), has a root of multiplicicity 2 at x=4 and roots of…

Q: Given the series: 1 + 4 8 1+ + does this series converge or diverge? O diverges converges If the…

A:

Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 -0.01x + 0.000006x² (in…

A:

Q: Solve cos(x)=−0.73 on 0≤x<2π

A:

Q: Find all the zeros of the function h(x) = 4x³ + 23x² + 34x-10 +i,- O3+1,-3-i O-1-3+1-3-1…

A:

Q: Use the following information to determine sin(2x). Answer 3 cos(x) = and sin(x) is positive 4…

A: given, cos(x)=34given, sin(x) is positive we know, sin(2x)=2sin(x)cos(x)

Q: Application - Forestry A team of researchers finds that there is a relationship between the overall…

A: As per our guidelines we are supposed to answer only one question at a time. So solution of question…

Q: pls answer quick and correctly. thanks  For the function f(x) = 2x2 - 3x + 4  a) Find f'(x) from…

A: F'(x) =limh→0f(h+x)-f(x)h .

Q: The Intermediate Value Theorem guarantees the existence of at least one real zero of the polynomial…

A:

Q: Find the volume of the solid of revolution formed by rotating the area under y=x² + 1

A: Given data:- curve y = x² + 1  x= 0 to 6 Find:- The volume of the solid of revolution formed by…

Q: 4 dx d. f S- 2 x √√4x² 2 - 16

A:

Q: Evaluate F-dr along each path. (Hint: If F is conservative, the integration may be easier on an…

A:

Q: Simplify and write the trigonometric expression in terms of sine and cosine:  cot(-x)cos(-x) +…

A:

Q: 3Z 37 1) For F (X₁7, ²) = (y², ²xy +6³²₁ 34 ²²² > Find ㄱㄱ ㄷ Pilk a potential function of (xiy, ²) if…

A:

Q: . 40 기도) 3 k=3

A:

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log2 (1-x) = 3…

A: Given that log2(1-x) =3 We use the following property to solve the problem:           log2Z= y⇒…

Q: way that their intersection is a circle of radius r. and r so that the volume inside the small…

A: Subtract the volume of the cap of the bigger sphere from the volume of the small sphere's hemisphere…