30% of a radioactive substance has decayed after 10years, what is its half-life? 15.9 years 16.7 years 17.6 years 19.4 years

Q: xsin-xdx The antiderivative of V1-x? sin-!x+C is x- (A True (B) False

A: The given integral,∫x sin-1x dx1-x2

Q: 2. Complete the following tables of values to investigate lim f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1...

A: solution

Q: Consider the following function RX) - 9x - 7 Determine whether the function is even, odd, or neither...

A:

Q: da dy 3x? – 1 and dt Find at z = 1 if y = at x = -5. dt da dt

A: topic - derivative of a function

Q: Week 7 Online Homework Applications of Radical Functions Score: 17.26/21 17/21 answered Question 15 ...

A:

Q: fx*In xdx 34

A: The objective is to evaluate the integration.

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A. Continu...

A:

Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x about th...

A:

Q: indicated

A: Please refer to the image below

Q: sin (e) cos (e)de

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Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

A:

Q: Compute the area of the surface formed when f(z) 2V1-z between -1 and 0 is rotated arou nd the -axis...

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Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the ...

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is par...

Q: Let y = tan(5z + 6). Find the differential dy when a = 4 and dæ 0.1 %3D Find the differential dy whe...

A:

Q: Select ALL possible answers if there is more than one. Which of the following statement's is/are NOT...

A: To solve the following problem

Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road ...

A: Solution: A police car is 60 feet to the side A red car 130 feet up the road  

Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units ...

A: Rate of change of unit cost is given as $9 /unit. Unit revenue=$2000 We will find the rate of change...

Q: Evaluate: ,(3y + 8y*-9y?)dy + 8y* – 9y?)dy 4

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is ...

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A: ∫un du = un+1n+1+C ; where , 'C' is an integration constant. dsin(x)dx = cos(x) dtan(x)dx=sec2(x) dc...

Q: 4 ry sin (x? + y*)dxdy Find

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Q: Select ALL possible answers if there is more than one. (3-2x ifx<2 [3x-7 if 2sx' Which of the follow...

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Q: d Compute [(2r* + 5)(4x–1] at x=} 2 24 Your answer

A:

Q: From the following results, determine whether the function 2x +9, r 9 f(x) = 6. is continuous at = ...

A: Solve for the continuity for the function

Q: Sketch a graph of the function y = 3x2 – 8x + 5. Use calculus to find: %3D a. increasing and decreas...

A:

Q: S sin æsin4xdx

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

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt 5, find

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Q: Determine if the given series converges conditionally or converges absolutely or diverges. 1 1 (a) (...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x , y = 0, a about the y...

A: Given query is to find the volume finthe solid generated.

Q: Find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2)

A: We will find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2) in the following s...

Q: Use logarithmic differentiation to find the derivative of y. y= cos X-3x + %3D

A: We can find the derivative using logarithmic differentiation as below.

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the t...

A:

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Use linear approximation, i.e. the tangent line, to approximate V16.I as follows: Let f(x) = Va. Fin...

A: L(x)=f(a)+f'(a)(x-a)

Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

A:

Q: The integral expression: | Ocos20 d0 can be evaluated by parts of the form: udv vdu . =uv – The prod...

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Q: If g is continuous at a and f(x)=(x² -a )g(x)., find f'(a). S(x)-f(x,) Hint: Use f'(x1) = lim x-x1 %...

A: Given query to find the derivative at x = a.

Q: integral of:

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Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

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Q: logarithms to find an exact solution for   ln(5)+ln(5x2−3)=ln(154).   If there is no solution, e...

A: Given query is to find the value of x.

Q: Find the arclength of y 2x3/2 on 1 < x < 3

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 1+ is...

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Q: nt Use A = P(1+– where: n A = the amortized amount (total loan/investment amount over the life of th...

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Q: A potato is launched vertically upward with an initial velocity of 124 ft/s from a potato gun at the...

A: According to Bartleby's policy we can solve only 3 subparts of a question. Apologise for the inconve...

Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 1 you feel uncomfo...

A:

Q: Which of the following best describes the function below? (3x ifxs2 x if 2<x f (x) =

A: Checking limits:When x approaches to 2 from left side:=limx→2- f(x)=limx→2- 3x2=3(2)2 =12When x app...

Q: Maximum Volume A package to be sent by a postal service can have a maximum combined length and girth...

A:

Q: Question 3 Determine whether the improper integral converges or diverges. 14e5x dx A Diverges B Conv...

A:

Q: Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 3 ft/sec aw...

A: We can find the required answer as below.

Q: Which of the following is/are true of f(x) =(x+3)*at x = -3? A. Continuous at r=-3 B. Discontinuous ...

A: