2013, the average surface temperature of the earth was 58 degrees Fahrenheit.  According to one study, increasing at a rate of 0.0154t0.4 degrees per year, where t is the number of years since 2013.  Find the formula for the temperature at any time t. T(t)=? What will the temperature be in 2111

Q: Suppose ƒ(x, y) = √√x + y² - 8. Find an equation for the level curve of f that passes through the…

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. Identify b Σ…

A:

Q: Find the value of k that makes the antidifferentiation formula true. Give your answer as a fraction…

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √y+3 lim (x,y)→(9,6) x-y-3 x+y+3

A:

Q: Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n…

A:

Q: Let f be the function defined by f(x) = -3x² +1 x - 13 x < 2 x ≥ 2 (a) Evaluate lim f(x), lim f(x),…

A: A function f(x) is said to be continuous at x= a iff limx-&gt;a-f(x)=limx-&gt;a+f(x)=f(a)

Q: average rate of change of f(x)=4x^2-7 between the pair of points (x,f(x) and (x+h,(f(x+h))

A: Given query is to find average rate of change.

Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: Given the following vectors, calculate −9v u=⟨−8,−4⟩,v=⟨3,−2⟩

A: Solution ) u = &lt; -8 , - 4 &gt;                   v = &lt; 3 , - 2 &gt;  - 9v = -9 &lt; 3 , - 2…

Q: True or False: Consider y = (x − 1)(1 − x). 1 If I use logarithmic differentiation to find y, the…

A:

Q: Consider y = ln (²). Compute.

A: The given data is: y=lnx2 To compute y'.

Q: Use implicit differentiation to find dy/dx in terms of x and y: x - 3y = 2xy

A: Differentiate

Q: Compute • d da - [In(1+x)²].

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: 2. √ In x da; u = lnx, dv=√x dx và u= do

A: The given integration is: ∫xlnx dx To find the value of integration.

Q: a) Evaluate the following integral. 2 2w5-3w+8 dw 2w² S²

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

Q: I what interval is y = 3x5 - 5x³ y=3x55x3 concave downward?

A:

Q: 6. Convert from Rectangular to Polar Coordinates: (x,y) → (r,0). (-3,-4)

A:

Q: 6) logg√3 7) log₁6 8) log4 8

A:

Q: Find the general soluton of the given differntial equation y'(t)=t*ln(t)+1

A:

Q: (a) 2 P₁² (20- 1 (x-1)e(x-1)² dx

A: We have to solve this definite integral  Which can be solve by using substitution method.

Q: A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the…

A: In this question we have to find how many gallons of each brand of antifreeze must be used.

Q: (14) y = Tan¹ (3); dy =? ax A) 15) 4+x² E) y= B) - 2√4-X² x²+4 Sec²(X); dy = ? Jx Tanx √4x² D) +…

A: To solve the problem we use derivatives properties and trigonometric properties.

Q: Calculate the derivatives of: a. y=bx² b. The above at f(4) C. Y=-2x²

A:

Q: Find a unit vector in the same direction as v = Provide your answer below: (7,24).

A: Given vector v = { 7 , 24 } let u = unit vector

Q: Evaluate the definite integral 7 S₂ (8x + 2)dx

A:

Q: question 15 help!! You are driving a car away from home. Your velocity (miles per hour) t hours…

A:

Q: Match each polar coordinate equation with a description of its graph. 1.0=3 A. vertical line B.…

A: Given:  (1)  θ = 3   (2)  r = 3   (3)  r = 3 cos θ

Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t² - 5t + 7 for…

A:

Q: A tennis ball is thrown from the stands 10 feet above the court at a 40 degree angle up from the…

A:

Q: Given the vectors u = -3i + 2j, v = -2i - j, and w = -4j Find u - 3v + w

A: Given the vectors u=-3i+2j, v=-2i-j, and w=-4jTo find u-3v+w.

Q: (a) What does it mean for a series to be absolutely convergent? dn is absolutely convergent if an…

A: We have to discuss about absolute convergent and conditionally convergent.

Q: R (d) Find where f(x) is increasing and where f(x) is decreasing and find all relative maximums and…

A: Note:- As per student request i am solving part d of 6th question.

Q: Given f(x, y) fz(x, y) = fy(x, y) · = fzz(x, y) = | fzy(x, y) = 2x³ 3x²y² + y^, find

A:

Q: Given vectors u = (-2, 23) and v = Provide your answer below: (-2, 26), find vector u — v.

A:

Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

A: The given table for the velocity of the paper is given as                     Time…

Q: Calculate the iterated integral. 13 3 2 LI (6x2y – 5x) dy dx /1

A: To evaluate the given double integral

Q: The graph below is the function f(x) 5 4

A: From Graph : f(2) = 1limx→2f(x)=2≠f(2) Therefore limit does not existThe function is not continuous…

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 3,…

A: Given: f(0)=1, f’(0)=3 and g(x) is the inverse of f(x) To find: g’(1)

Q: 4 Given the vectors ² = -37+√3 and V = √31-3³, find (a) the dot product = (b) |u²|= ? |V | = ? (c)…

A:

Q: Given vectors u = (7,-4) and v = (-8, -7), find u v.

A: The given vectors u=7, -4 and v=-8, -7. We have to find the value of u·v.

Q: f f(x) = V x + 1 , for x 2 -1, then for y 2 -1, fy2 + 2 y ) y + V2x+ 1 ) 1 - وكاد 1 ) V2x+y2

A: f(x)=x+1for f(y2+2y)  put x=y2+2y in f(x)

Q: - Evaluate: f Sin (x7 - 5) dx x

A: ∫sinxdx=-cosx+cdxndx=nxn-1

Q: If the objective/target function is a function of more than one input variable, then what should we…

A: To determine the next step of a maximization or minimization problem.

Q: Consider the following series. n = 1 Evaluate the following limit where an = R = x n42n I = an+1 lim…

A:

Q: Question Each answer choice below represents a relation by a set of ordered pairs. In which of the…

A: Given query is to find  which relationship is a function.

Q: Find T, N and B for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t) at the point t = 0 Give your answers…

A: We need to find tangent, normal, binormal vectors.

Q: Find f'(X) given that F(x) = ∫x2 sqrt(2+e^(3t))(5)/(lnt^(2))dt

A: To find f'(X).

Q: The number x of MP3 music players that a store will sell and their price p (in dollars) are related…

A: At we find the value of x at P=100. Then we differentiate and putting the values we find dx/dp at…

Q: Suppose w = 8x² + 2y², X = 3 cos(t) + 9 sin(t), and y = 3 cos(t) — 9 sin(t).

A:

Q: Calculate the derivative of: f'(x) = sec² (15x) f(x) = COS -¹(15x) sin ¹(15x)

A: Given function:- fx=cos-115xsin-115x