A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 30° F. After one-half minute the thermometer reads 60° F. What is the reading of the thermometer at t = 1 min? (Round your answer to two decimal places.) °F How long will it take for the thermometer to reach 45° F? (Round your answer to two decimal places.) min

Q: Determine the area of the region enclosed by the Y-2x = -1 and 4 = x ² = 4x+4. Do not simplity…

A:

Q: Evaluate the iterated integrals a. (x-y)dydx b. cos y dxdy

A:

Q: (1,2,3) and Question 3. Evaluate the cross product of the vectors u = =(-1,0,2). Also evaluate (u ×…

A: Given u= <1,2,3> and v=<-1,0,2>  Find u×v and (u×v).v

Q: What is the interval of convergence for power series & n³ (x+1)”. -? 3" n=1 A.(-3,3) 4 2 B. —— 3…

A:

Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

A:

Q: Evaluate the integral. 1 √x(1+x)” 1 x(1+) dx = dx

A:

Q: the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with…

A:

Q: Evaluate the Riemann sum for f(x) = 1.4 - ² over the interval [0, 2] using four subintervals, taking…

A: Given :   f(x)= 1.4- x2

Q: Find the displacement of an object on the interval 2 ≤ t ≤ 5 if its velocity is shown. V(Đ m 3 1 5 7…

A: Given: A graph of velocity-time.

Q: a) Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4]

A: To find the equation of line.

Q: dy = +-+1 dx y X separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

A: Let's solve given diffrential characteristics.

Q: Evaluate the integral. 3 x - 3 dx 11 X

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: sin x 4-5 sinx+sin2x dx

A:

Q: Determine whether or not the sentence is a statement. Brad Pitt is the governor. Is the given…

A: Solution ) the statement is declarative sentence so it is a statement  and statement is can be…

Q: Use the elimination method to find a general solution for the given linear system, where…

A:

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

A: We need to calculate circulation & outward flux across the boundary which can be calculated as

Q: The median value of a home in a particular market is decreasing exponentially. If the value of a…

A: According to the bartleby guidelines I can only answer the first three subquestions .

Q: Find the derivative of fx Fx =(6square root x -2) (4 square root x +7)

A: Concept: Differentiation of function: A function's differentiation is a way to visualize the rate of…

Q: Use the elimination method to find a general solution for the given linear system, where…

A:

Q: Solve the differential equation. dy 3x²y² dx

A:

Q: Given that f(z)=z-z where does f'(z) exist

A: Concept: f(z) is differentiable at a point z0 if it follows two conditions: (1). ux , uy ,vx ,vy all…

Q: Use the graph of h(x) shown below to evaluate lim h(x), if possible. If the limit does not exist,…

A:

Q: Graph the parametric equations below (x(t) = 3 cost + cos 3t ly(t) = 3 sint - sin 3t

A: To graph the parametric equations.

Q: if the birth rate of a population is b(t)=2200+52.3t+0.74t^2 people per year and the death rate is…

A:

Q: Use the washer method to find the volume of the solid generated when the region bounded by y = √x, y…

A:

Q: Q4/A: Find Fourier Series of the Function: f(x) = {- K (-K -<x<0 к 0 < x < n B: Solve the following…

A:

Q: What is the domain of this function? (assume there are arrows at the ends of the graph The answer…

A: We have to find the solution

Q: For a plane with a normal of n = [1, 2, - 9]   and containing a point P (3, -4, 0), write the…

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A:

Q: Use the Substitution 8 *4(In x)³ 1 b n Formula, Sf(g(x)) • gʻ a g(b) (x)) • g'(x) dx = [ f(u) du…

A:

Q: Write an equation for a line parallel to y = y = - 2x + 3 and passing through the point (4,-6)

A:

Q: Activity 2: You are working on another electronic system that produces a voltage (v) as a function…

A:

Q: (c) (x + 1) = -y + 5 dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli…

A: we have to identify which type of given differential equation is

Q: find the X values if any at which f is not continuous fx=4x^2-cos(pix)

A: We have to find value x if any at which f is not continuous  f(x) = 4x2 - cos(πx)

Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

A:

Q: Find an explicit solution of the given initial-value problem. dx dt = 6(x² +1), x( 1 ) = = 1 X =

A:

Q: Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4] Find the equation of…

A: I am attaching image so that you understand each and every step.

Q: f(x) = x²+6x+5 x-1

A:

Q: Ceq = 25.35nf Се

A:

Q: Find the zeros of f (x) = x^(4)-4x^(3)-12x^(2) pre caluclus

A: We have to determine the zeros

Q: Which of the following is an example of a series such that Σa, converges but Σa, diverges? Α.Σ (1) 3…

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: Solve the equation x^3−2x^2−x −6 = 0 given that x = 3 is a solution.

A: The given equation x3-2x2-x-6=0

Q: the root for the following equation ex - 3x, [1.5, 1.6] then f(c4)= 1.50625. O True O False

A: We have to check the root of the equation ex-3x, 1.5, 1.6 in the 4th iteration is 1.50625 or not.

Q: Businesses can buy multiple licenses for a data compression software at a total cost of…

A:

Q: 8. What rule should be used in deriving f(x)=x5? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x A.…

A:

Q: F of X equals 3 sin X + cos 4X;(pi,1) Find the derivative and find the slope of the tangent line to…

A: Given:FX=3 sin X+cos 4X ; the point π,1

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Concept: The Trapezoidal Rule: The Trapezoidal Rule divides the whole area into smaller trapezoids…

Q: Determine whether the statement is true or false. 5 x | xEN and x is odd} Is the statement true or…

A: Ν is set of natural numbers.

Q: 18. Which point does not lie on the same plane as the points P(1,5,6), Q(-2,-3,4), and R(-1,3,2)? a.…

A: First we find equation of plane passing through points P(1,5,6), Q(-2,-3,4), R(-1,3,2) We know that…