Find the approximate change in y = 3x^2 − x^1/2 from 2 to 2.004. a. 0.0544 b. 0.0466 c. 0.0646 d. 0.0446 e. 0.0384 f. 0.004

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: a certain culture of organisms grow at a rate proportional to the number present. If it is known…

A:

Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

A:

Q: Use a linear approximation (or differentials) to estimate the given number.   sqrt(100.8)

A: Given that

Q: Calculate approximate value y = x* at x = 2,003

A:

Q: Use differentials to approximate the cube root of 0.009.

A: Approximate  0.00913

Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

A:

Q: Use differentials to estimate the value. estimate =  exact value =

A:

Q: . Estimate dx with an error less than 10-3.

A: Series sum estimation:

Q: Use differential to estimate the value of 124 and give your answer correct to 3 decimal places.

A:

Q: Find two z values so that 48% of the four decimal places, separated by a 0,0.

A: Given Data: Z is the standard normal distribution   P(-x<z<x)=0.48 P(z<x)=0.74

Q: Differentiate. h(θ)  = etan 2θ

A:

Q: pimplicit derivativeg

A: we have to find the derivative of the given implicit function

Q: How do you use a Maclaurin serieis aproximation to estimate (Provided picture). Thanks!

A: First find the Maclaurin series for e^(x^2) using the Maclaurin series of e^xPlug x^2 in place of x.

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12…

A: Given : Diameter of tin = 8 cm. Height of tin = 12 cm. Thickness of tin = 0.04 cm.   To estimate…

Q: Estimate the average rate of change from x = 1 to x = 4. %3D

A: average rate of change of f(x) on a,b=f(b)-f(a)b-aHere a=1 ,  b=4From graph f(1) = 5 ,  f(4) = 4

Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.

A: Please see the below picture for detailed solution.

Q: calculate the derivative

A:

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) -1 1

A:

Q: At what rate is the production of fish changing with respect to time 5 months from now?

A: Given Data: Production of pounds of fish per month is: QK=109K13 ......1 Total investment is:…

Q: Suppose that $15,000 is invested and at the end of 3 yr, the value of the account is $19,356.92. Use…

A: Given :            $15,000 is invested and at the end of 3 yr, the value of the account is…

Q: The best predicted value of y for an adult male who is 171 cm tall is Round to two decimal places as…

A: Given value of P = 0.000 Here, P value is less than the given significance level (0.05), so we can…

Q: In(tanhx)

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxtanhx=sech2x Given: fx=lntanhx

Q: As part of the process in the production of a perfume, a certain substance with water is converted…

A: We have to formed a differential equation and solve it get amount converted or amount left

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A:

Q: Use differentials to approximate the value of: 26

A:

Q: A square is measured and each side is found to be 8 inches with a possible error of at most 0.01…

A: We are given that each side of a square is 8±0.1. Let x be the side of square and then the side of…

Q: Use Newton’s Method to estimate 3√25 to four decimal places.

A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…

Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

A:

Q: Find the average rate of change of h1x2 = x2 - 2x + 3:(a) From - 1 to 1(b) From 0 to 2(c) From 2 to…

A: Since it is known that the average rate of change can be calculated using the formula…

Q: sketch the shifted exponential curves

A: To draw the graphs , first draw x and y axes . Label x for x-axis and y for y-axis . Choose some…

Q: Use a linear approximation (or differentials) to estimate the given number. 99.8

A: To find √99.8

Q: Use differentials to approximate the value of (2.001)’.

A:

Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

A:

Q: 2/ Pind the Pirst derivative X. tan X. (3-2x ). 5x

A: Given equation is: y=x5.tan-1x3-2x.x3 To find the first derivative.

Q: 4. A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at…

A: Let the distance travelled by car travelling at 45 mph from intersection be x at any point of time.…

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) 1

A: Tangent to a curve is a line which just touches the curve and in some sense is parallel to the…

Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

Q: .Find an equation for the curve that passes through the labeled int.

A: We are aske dto find the equation of the curve.

Q: n of 100 bacteria has a half-life of 28 days. How many bacteria, y, will there be in x days?

A:

Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

A:

Q: Estimate the value of V83251.69 in three decimal places by linear approximation.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that the amount of water pumped from a water well decreases at a continuous rate of 10% per…

A:

Q: Find the third derivative of y = (8x 1) solution and upload it on the designated field in jpeg or…

A: The given equation is y=8x-114to find the third derivative of the given function. Differentiation is…

Q: Match the graph with the first order differential

A: In this question we will use basic concepts of calculus i.e graphing of differential equation.…

Q: At 2:00 PM a car’s speedometer reads 30 mi/h. At 2:10 PMit reads 50 mi/h. Show that at some time…

A:

Q: 3 Find approximation a5 costect to an three decimal places.

A: We approximate the value by using differential. The answer is given as follows

Q: If we have a formula giving the cholesterol level of a patient as a functionof time, how can we find…

A: Integration gives the function whose derivative is given. Integration means adding all slices to…

Q: The half-life of plutonium 239 is 24,200 years. Assume that the decay rate is proportional to the…

A: