In the exponential form f(x) = a. bx, the base b can be equal to 1. (A) True (B) False

Q: zze Find of z = In(xy) a²y

A: Topic:-  application of derivatives

Q: 3 [²(x²) dx 0 Using the definition of definite integral, ff(x)dx= lim f(x) Ax, and the given…

A: Given, ∫03x2dx

Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A: Let's find time taken 1/2 the original amount of radium to decompose.

Q: ind the indicated maximum or minimum value of f subject to the given constraint. 2 2 2 Minimum:…

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Q: May I ask why there is a plus 8 in the final answer?

A: We have to explain why there is 8 in final answer.

Q: Given the domain 9 = {(1, y) | − 4 ≤ x ≤ 4, - 4 ≤ y ≤ 4}:: D the double integral of f(x, y) = 1 over…

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Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

A:

Q: tan (3x) lim x→0 sin (2x)

A: Given query is to find the limit of the expression.

Q: 0.7 Estimate f(x) dx from the graph off as 0 shown in figure. Use the trapezoidal rule. Click here…

A: This question can be solved using the formula of trapezoidal rule of approximation of definite…

Q: Z ек у -4x Find any ду az ах

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Q: B/A block of ice in the shape of a right circular cone is melting in such a way that both its height…

A: rate of change of volume of cone

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! dx xy+3x-y-3 Find the general solution of dy…

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Q: Written Activity Related Rates Expanding Rectangle The length of a rectangle is increasing at a rate…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: T T Find the area of the region bounded above by y=11 cos x and below by y=2 secx, - Sxs square…

A: Area of a region is calculate as ∬dydx, when strip is choosen parallel to y-axis see below the…

Q: Problem Solving: Prob. 1 A block of mass M = 10 kg is sitting on a surface inclined at angle 0 =…

A: Given that M= 10 kg and coefficient of static friction = 0.5 1. Minimum force necessary to prevent…

Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under_ Prove your…

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Q: C) (-∞,1]

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Q: xdx (x + 1)²

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Q: (√²+2) dt

A: We have to integrate to given function

Q: Q1/ Find the area of the region bounded by the given curve (y=x²-5) and the curve (x = = -) by means…

A: Given y=x^2-5 & x=-y/4

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

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Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.

Q: The Critical Point of y = xe*

A: Given; y=xe^x

Q: If find the value of a. 3 S₁ S² (x + 2y) dydx = 10, 0 a

A: Given: ∫01∫a3(x+2y)dydx

Q: S (2².1² (2x² – 3x) dx 2 2.

A: ∫252x2-3xdx

Q: 15. The piecewise function -t+ 0 ≤ 2 can be expressed in terms of a Heaviside function as:

A: We are given a piecewise function  f(t) =-t       0≤t<1t2+1      1≤t<2-3               2≤t…

Q: (1/4) Estimate the value of 82 a. approximation b. differentials

A: To estimate the value of 8214 by using a approximationb differentials

Q: Find the derivative 4cos4t sin4t O2cot4t O Other: -1/2 cot4t of the parametrically defined curve (t)…

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Q: At what points does the helix r(t) = (sin(t), cos(t), t) intersect the sphere x² + y² + z² = 82?…

A: This question can be solved by putting x=sint, y=cost, z=t in the equation of sphere to obtain the…

Q: dx using miscellaneous substitution will yield to secx + 1 Transforming A B © ² с -dz 1+z² © S²+ /…

A: Please see the answer below.

Q: Two functions are defined as follows: f(x)=7-2x² and g(x)=x²+4 (a) Use ANY graphing tool to…

A: Here We have to find the point of intersection of the two curves.

Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

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Q: evaluate the limit and simplify. Complete solution.

A: Evaluating the limit

Q: Prove 3. The auxiliary equation of the differential equation (D² - 6D+9)y = 0 falls under. your…

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Q: y=Arccos (x²)

A: The objective of the question is evaluate the second derivative of the given function.

Q: 2. lim x sin(1/x) X18 ex+2x 3. lim X18 ex

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Q: 2 S²3 (x²-3x+18) 9x-X³

A:

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: lim (√x² + x +1 − x) X-80

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Q: Question 1 A body cools from 72°C to 60°C in 10 minutes. How much time (in minutes) will it take…

A: We will use Newton's law of cooling to solve this question.

Q: Solve the following differential equation

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Q: The measure of the side of a square is 7 units, with a possible error of 0.02 unit. Estimate the…

A: As we know the area of the square is: A=a2 Where a is the side of the square.   Given: a=7 units,…

Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: Consider the function f(x) = x−2 (x^2−x+1)^2 Find a)  The intervals on which f is increasing. b)…

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

Q: The graph of y=5x*-x³ has a point of inflection at (A) (0, 0) and (4, 256) B (0, 0) and (3, 162) (3,…

A: Given graph,y=5x4-x5Aim : To find point of inflection.

Q: From a table inside a room with current temperature of 32 degrees Celsius, a left over Fried Chicken…

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Q: it was estimated that constructing a fence for a project could be done by 11 workers in 15 days. at…

A: Let 'n' be the number of workers. Let 'd' be the number of days required Let WT be the work done…

Q: If ye cos x 8 lnx, find f'(x).

A:

Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

A: The area of a rectangle with length L and height H is given by A=L×H. We use chain rule , power rule…