Use the quotient rule to find the derivative of 6 sin(x) - 8 10x10 + 3 You do not need to expand out your answer. Be careful with parentheses!

Q: Find an equation of a plane passing through the point (6, 1, 2) and containing the line of…

A: Given planes:- P1:x-y-z=0P2:2x+y-2z=-3

Q: Consider the function y = f(x) = x² + 4x + 4 and the x-value xo 8. (a) Find a formula for the slope…

A: Topic- slope of a tangent line we are given a function, f(x)=x2+4x+4 and x0=8

Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…

A: Let's find limit of given function.

Q: 45. a¹ + a²2=0

A: Find roots

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) lim. 5x 3 t-> sin(t) t

A: The limit is  limt→5π3sintt To evaluate: The value of the limit.

Q: Find the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² The…

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Q: circular swimming pool has a diameter of 20 ft, the sides are 6 ft high, and the depth of the water…

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Q: sec² (In x) cos(lnx) dx x

A: Given :∫sec2lnxcos6lnxxdx

Q: A company must pay a $304,000 settlement in 4 years. (a) What amount must be deposited now at 8%…

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Q: Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x)=8-4x² r'(x) =

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Q: e function f' defined by the formula f(x+h)-f(x) h x) = lim h→0 alled the derivative of f with…

A: Given, f(x) = 3x3using function f' defined by the formula(a) f'(x) =limh→0f(x+h)-f(x)hf'(x)…

Q: If lim 2 f(x) = L and lim 8(x) x-a x-a 4 =0, Calculate f(x)+x² g(x)+a lim: x-a

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Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a 5 is y 8x - 6.…

A: Given y=f(x)

Q: Find the solution of the DE y' a. x³ -x-3y-lny³ = 21 b. x³ - 3x - 3y - Iny³ = 21 c. x³ 3x-3y-lny³ =…

A: to find out the correct answer.

Q: can you please rewrite the answer  ? I cannot understand the writing . Thanks

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Q: could  show the solution of the    (Round your answer to three decimal places.).   and.  Find an…

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Q: 4. y= x+1 X

A: Note: Since the student has mentioned to solve only question no. (4), so we are solving accordingly…

Q: If ƒ(t) = (t² + 2t + 4) (7t² + 6), find ƒ´(t). Find f '(5).

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Q: 189. [T] x = 4 from y=0 to y = 2 190. [T] x = ln(y) on y = to y = e For the following exercises,…

A: See this solution in below.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the method of cylindrical shells to find the volume generated by rotating the region…

Q: - Find the solution of the DE y' = x+√xy ху a. 2 x/y+lny = c b. -2 /y-2lny = c c. 2xy + 2lny = k…

A: The given differential equation is; y'=y/[x+sqrt(xy)].

Q: Use transformations of the standard cubic function f(x)=x3, to graph the following function…

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Q: show that the lim DNE. lim (x, y)→(0,1) In (x4 + 2y² 1) e 2x² + y² - 2

A: Please see the below picture for detailed solution.

Q: Find the derivative of f(x)= (428 + 22-1) ⁹.

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Q: h-x² + ₂x [[x-h]] + xh x² + 3x-4 [[X-h]] +xh th-EX lim X⇒ −4° lim

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Q: x² 36 Let f(x) = X- 6 Complete the table below. Round all table values to four decimal places, if…

A: Let fx=x2-36x-6To complete the table below. x 5.9 5.99 5.999 5.9999 6 6.0001 6.001 6.01 6.1…

Q: fxsinxdx

A: Given :∫xsinxdx

Q: x)=(x-7)e - 6x f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.…

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Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A: The given function fx=x4-4x3+10 we have to find the value of absolute maximum and absolute minimum…

Q: Find the intersection of the plane - 6x + 6y + 2z = 80 and the line 7'(t) = (8, 6, 5)t + ( − 7, 4,…

A: Topic- point of intersection of plane and line we are given equation of plane :-6x+6y+2z=80 equation…

Q: Find the solution of the differential equation y" — xy' + y = 0 a. y = x² b. y = x c. y = 1-x² d. y…

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Q: The interval(s) on which f is increasing is/are

A: A function is said to be increasing on (a,b) iff graph of the function is moving upwards on (a,b).

Q: express each common fraction as a decimalfraction. Round to four decimal places when needed. 3⁄20

A: Given expression, 320

Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

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Q: F (N) 24 18 12 16 2 00 4 6 8 10 12 14 16 x (m) How much work W is done (in J) by the force in moving…

A: Topic = Area

Q: and the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² e…

A: Given query is to find the profit function.

Q: variable

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Q: Which of the following differential equation : Show your solution. is the general y² = y sinx = C…

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Q: lim X→ +∞o (√9x² -5x+1 +3x

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Q: Find the vector w with magnitude 17 that lies in the direction opposite of v = (1, -2,3). Show all…

A: Given vector   v→=1, -2, 3

Q: lim X> +∞o ( √9x² -5x+1 + 3x

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Q: 10. 2/3 5² √4-9x² dx

A: As per our guidelines we are suppose to answer only one question, kindly rest can be reposted.…

Q: Find the a. 3yx² + y² = k b. 3yx² - 3y³ = k 3yx² - y² = k solution of the DE y' c. d. yx² - y³ = k…

A: The given differential equation is  y'=2xy/y2-x2

Q: For the equations below, q is the total number of units produced per day by m employees of a…

A: Given: q=500m-m250=10m-m250 ;p=-0.3q+80  =-0.3×10m-m250+80  =-310×10m-m250+80  =-3m+3m2500+80…

Q: Find the determinant of each of the following matrix a) b) 0 1 √√3 √20 0 √√3 0 0 0 2 0 2 0 0 √√3 √√3…

A: The given matrices are; a) 0            sqrt(3)     0      0     sqrt(3)       0           2      0…

Q: Find lim h→0 f(x+h)-f(x) h f(x)=2x-3, x = 5 The lim f(x+h)-f(x) h for the given function and value…

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Q: Parabola y² = 28x FIND THE: Opening - Vertex - Focus - Directrix - Axis of Symmetry - Latus Rectum -…

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Q: 6. Solve logsx - log5 (x-16) = 1 for x.

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: Use the vertical line test to determine whether or not the graph is a graph in which y is a function…

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