Consider the function f(x) = 3x² + 2x² - 6x4 - 6. An antiderivative of f(x) is F(x) = Ax + Bx™ + Cr²+ Dr where A is and n is and B is and m is and C is and p is and D is and q is

Q: The half-life of cesium-137 is 30 years. Suppose we have a 160 mg sample. (a) Find the mass (in mg)…

A: Topic - Exponential function We are given The half life of cesium-137 = 30 years initial mass of a…

Q: Solve DE using Exact Equation 2.) dx dy 11 2 2/2 x³y -x +x\n x - x² y lnx + 2xy - 3x²³ y ²

A: According to question,Given differential equation,dxdy =32x4y-x+x ln x - x2-y ln x+2 xy -3x3y2

Q: Find the integral of the following function by resolving into partial fractions, then select your…

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Q: If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then…

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Q: 2. If A is 2x8, B is 8x3 and C is 3x4, which of the following exists? a. 2A+3C b. (AB)C c. BA-2C d.…

A: We have to solve above question

Q: Use the substitution x = 5 sint to evaluate the integral f√25 – x² dx.

A: ∫ cos(at) dt = 1asin(at) +C.

Q: Find the standard form equation for a hyperbola with vertices at   (0,6) and  (0,−6) and asymptote…

A: NOTE: Refresh your page if you can't see any equations. . foci are therefore here x-coordinate of…

Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

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Q: Find given axy²-by=x - 1. dy dx Assume a,b ER. O dy 1-ay² dx 2axy-b dy 1 dx 2axy-b dy dx = dy dx = =…

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Q: f'(x) <0 for x# -5 Choose the correct graph below. A. Choose the correct graph below. A. -10 Choose…

A: Given query is to find the correct graph: Solving A and B since graph of C and D are not given .

Q: If f(y) = tan -¹ (3y²), find f'(y). Use exact values. 6y 1+9y² f'(y) = X

A: Given, f(y)=tan-1(3y2)

Q: 14. In a murder investigation, the temperature of the corpse was 32.5°C at 1:30 PM and 30.3°C an…

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Q: 2 2 (2² * = ³) - ² (²3) = ( % -3²) 2 X 4 -6 8 a. b. C. 486 9

A: Topic:- application of algebra

Q: Use the result obtained in Problem 20 to find the area enclosedby f1x2 = - 5x2 + 8, the x-axis, and…

A: Given function is f(x)=-5x2+8. The objective is to find the area enclosed by f(x), x-axis. where…

Q: (1) Let y = Σnz". (a) Compute y' and write out the first four terms of the series. (b) Compute y"…

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Q: Find the length of the loop of the given curve. x = 9t-3t³ y = 9t² 6 5 e +39 X

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Q: - Find dy dr (4x² + 2 cos(x)) dy d.x 7 Type sin(x) for sin(x), cos(x) for cos(x), Use x^2 to square…

A: The given function is; y=(4x2+cos(x))7

Q: Find the slope of the line that passes through the points (-5,2) and (-1,6). 1 Previous

A:

Q: If f(x,y,z) = 2x² − yz + xz², where x = 2 sint, y = t² − t + 1, and z = e−³t, find f't)

A: from chain rule of derivaties…

Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4461 per…

A: The answer is given below:

Q: Evaluate the definite integral. ₁42² +4 dz= x²

A: NOTE: Refresh your page if you can't see any equations. .

Q: If f(x) = sin² x, find f'(x) f'(x) = Find f'(2) f'(2) =

A: d dx(sinx)=cosxddx(cosx)=-sinxsin2x=2sinxcosx

Q: Given the graph of f (x) above, find the following limits To enter ∞o in your answer field, . When…

A: NOTE: Refresh your page if you can't see any equations. .

Q: If f(x) ƒ'(1) = 6x² + 3x + 6 -, then:

A: Topic - derivative of a function we are given ,f(x)=6x2+3x+6xWe know thatquotient…

Q: Determine the value of the absolute value expression A B 2443 2 2443 2 Select one: O a. A O b. B O…

A:

Q: A small craft in Lake Ontario sends out a series of distress signals. The coordinates of the boat in…

A: Topic - coordinate geometry We are given that Coordinates of the first signal:(49,68)Coordinates of…

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: Find the indefinite integral. (Use C for the constant of integration.) Ï 11 (z - 12) ¹1 dz

A: Use the substitution method to find the indefinite integral.

Q: For the following right-endpoint Riemann sum, given R, as indicated, express the limit as n → ∞ as a…

A:

Q: Given f(x)=x-5x, find intercepts, asymptotes, intervals of increasing/decreasing, values, intervals…

A: According to question,Given Functionfx = x53-5x23

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A: Given vector field F( x,y,z ) = 9xy2z2i + 6x2yz3j + 9x2y2z2k if the vector field is conservative…

Q: Describe the domain of the function f(x)=√(15x^2+x-2).

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Q: Use the chain rule to find First the pieces: dz da ?х Əs dy Əs And putting it all together: dz Əs Əz…

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Q: Solve algebraically: 23x = 26x-7. You must show your work

A: NOTE: Refresh your page if you can't see any equations. . the given expression is

Q: At age 40, Beth earns her MBA and accepts a position as vice president of an asphalt company. Assume…

A: Let annual salary = P let accumulated present value = B let accumulated future value = A k =…

Q: Use partial fractions to evaluate the integral 1² 2²-24-3d² 2x

A: Given :∫02-4x-3x+1dx

Q: Given that 3 sác (a) * 812³dx = help (numbers) xdr = 4.5, 3 (b) ["² 12² 3 ». [² 2²dr = 27, and [² 3…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: For the following exercises, find exact solutions on the interval [0, 27). Look for opportunities to…

A: Since the student has posted multiple questions and has mentioned to solve question numbers 59 and…

Q: List the first five terms of the sequence. an n a₁ a2 a3 || || || = a₁ 12, = an +1

A: NOTE: Refresh your page if you can't see any equations. . the first term is

Q: Find the solution to the differential equations sec³ xdy = csc² y dx πT y (n) == 4

A:

Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + cx+d has a local maximum…

A: Given f(x) = ax3 + bx2 + cx + d

Q: Find the determinant of the matrix, if it exists. (If an answer does not exist, enter DNE.) 1 8 64…

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Q: ble : Fin if if · fax) = ² 2 then f'(x) = 3 5+9x²³+5 sin (t) dt

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Q: 28. Swimming speed of fish For a fish swimming at a speed v relative to the water, the energy…

A: We need to determine value of v and sketch graph.

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t 1= sin t dt

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Q: swer: Evaluate sin(10x) cos(10x) dx.

A: ∫xndx=xn+1n+1+c∫cosxdx=sinx+c

Q: At a bowling alley, the cost of shoe rental is $2.25 and the cost per game is $4.25. Iff (n)…

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Q: Which of the following equations has no solution? 5. a. b. − ²)(a b) = (19) (²2) -77²) (²5) = (69) a…

A: We know that value of determinant is zero when any two row (or column ) are identical. Here in case…

Q: d Find (4 ln(x)) dx

A: Given; d(4ln(x)/dx

Q: Find the Laplace transform of the following functions: 2 1. f(t)=1/1² cos t if 0 1/2 T. ㅠ. 2. 8(t)…

A: We need to find Laplace transform. As per Bartleby we can solve 1 qn. from multiple questions.…