Evaluate the factorial expression. 11! 6! 11! 6!

Q: The point P(16, 7) lies on the curve y = √x + 3. If Q is the point (x, √x + 3), find the slope of…

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a rate of 7 mi^2/hr.…

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Q: 0 ven ₁ = 10 9 -8 (:). -8 compute the cross products as listed. -5

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Q: 6. dx-2xcsc dy 11 2y - 2x³ cos 2y sec 2y a. b. C. d. e. f. g. h. i. j. C = ln 1 y² = ex s = [C(x -…

A: We know, 2sinx*cosx=sin2x csc2mx-cot2mx=1, for any real m ∫csc2mxdx=-cotmxm ∫cotxdx=ln|sinx|…

Q: Find an equation of the tangent line to the curve at the given point. et²-y = (6,36) (Express…

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Q: Find the differential of the function z=e-xcos(y) dz=___________________

A: Here we can see that z is function of x and y z=fx,y So, here the derivative of z is also known as…

Q: 5x+20 ifx-3 if x = -3 Let f(x)=√x+28 2 Select all that are true: f(-3) is defined. lim f(x) exists.…

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Q: Find the average value fave of the function f on the given interval f(x)=√x, [0, 16]

A: To find the average value fave of the function f on the given interval.  fx=x, 0, 16

Q: Use the disk method or the shell method to find the volumes of the solids generated by revolving the…

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Q: 26-y 2. (Section 16.2) Consider [[ye² da dy -3 ²

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Q: K 111(x)=4x² - 6x +5, solve f(x) = 21. X= (If necessary, round to two decimal places.)

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Q: The population of a town is approximated by the function 90000(1.02)', where t is the number of…

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Q: . y = sec(x)√1+cot² x csc³(x)

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Q: 3 2 2 Given Cost and Revenue functions C(q) =q³-8q² +57q+5000 and R(q) = -3q² +2600q, what revenue…

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Q: Find the critical points of the function g(x, y) = (x − 1)² + (y + 2)². List your answers as points…

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Q: 1. (Section 16.1) Evaluate the double integral over region R by converting it to an iterated…

A: given integral∬x2y+1dA:R=(x,y)|0≤x≤1,1≤y≤4

Q: C Write as the sum and/or difference of logarithms. Express powers as factors. log, V S O log7(6√1)…

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

Q: What is the y-intercept of y = sec x?

A: We can find the y-intercept in the below steps.

Q: Normalize the vector v₁ Resulting Unit Vector: 2).

A: Find the magnitude of the given vector and divide the vector with the magnitude

Q: a) b) c) v₁.0₂ = Round your answer to 3 decimal places. V3 V4 = Round your answer to 3 decimal…

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Q: Use the Product Rule to find the derivative of f. f (x) tan (x) sec (x)

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Q: Use the Chain Rule to find an equation of the tangent line to the curve of f(x)=tan(pix^2 /8) at the…

A: I am attaching image so that you understand each and every step.

Q: a. f(x)=3x+4 7. (fog)(x) 9. (f+g-h)(x) b. g(x)=2x-5 C. h(x)=x²-1 8. (goh)(0) 10. (h+h)(-2)

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

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Q: Find the nth derivative of √x (general formula) . No using double factorials and no integrals. Only…

A: To find the nth derivative of x (general formula) .

Q: Prove that the answer for (y + 2x) dy + dx = 0 is: x=-y-+²e-²y

A: I am attaching image so that you understand each and every step.

Q: Sketch the graph of a function f having the given characteristics. (Select the correct graph.) f(0)…

A: Given query is to graph the function with indicated characteristics.

Q: Find the critical points for the function f(x, y) = 2x² - 4xy + 4y² − 4y

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Q: ƒ(x, y) = x²y — 2x² + 2xy − 4x. -

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Q: = COS + -T (2x) -2. -of T 2π 3f X

A: Given query is to find the amplitude, period and graph.

Q: Find the volume of the solid generated by revolving the region about the line x = 2. The region…

A: volume=16.75 unit cube

Q: Given the equation below, find dy dx Y dy dx = 5x5 + 2x¹0y + y³ 5x4 (5+4x5y) 2x10 + 3y² Now, find…

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Q: The dye dilution method is used to measure cardiac output with 2 mg of dye. The dye concentrations,…

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Q: An airplane is flying at an elevation of 6000 feet directly above a straight highway. Two motorists…

A: I am attaching image so that you understand each and every step.

Q: Suppose f(x, y) = (a) Vf(x, y) = tan(x) + y and u is the unit vector in the direction of (-1,-3).…

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Q: Suppose f is a one-to-one differentiable function and its inverse f^-1 is also differentiable.  a).…

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Q: 34. A force of 6 pounds compresses a 16-inch spring 4 inches. How much work is done in compressing…

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Q: a) lim f(x) X→-3+ (b) _lim_f(x) E 1 0 (c) lim f(x) x--3 (d) lim f(x) x→ 2-

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 3)…

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Q: 2) Let f(x) = 2x³+x². Compute [f(a+h)-f(x)]/h, and find f'(x) using only the definition of the…

A: We can solve as follows

Q: (x, y) = f(x)=x√x + 12 DNE Determine the open intervals on which the graph of the function is…

A: Given query is to find the interval where function is concave up.

Q: y = y" x Express y" in terms of x and y. (Use symbolic notation and fractions where needed.)…

A: Topic:- calculus

Q: or the given graphs, determine the intervals where the graph is increasing, decreasing, and/o…

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

Q: Which functions is the inverse of the function f(x) O g(x) = O g(x) = 2-3x O g(x) O g(x) O g(x) = =…

A: Given query is to find the inverse of the function.

Q: eliminate arbitrary constant Ae^3x+Be^4x+Cxe^3x

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Q: Creating Evidence Based Conclusions Carly wants to build two identical pens next to one another for…

A: As third part is done here so we have to find remaining parts.

Q: Which ordered pair is in the inverse of the relation given by x2y + 5y = 9      A (2,1) B (-2,1) C…

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Q: Find all values of t, -/2 < t </2, for which the tangent line to the graph of x(t) 4t+3 tant, y(t) =…

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

Q: If-y + xy + 3 = x³ = 0 and it is known that dy -y+3x² dx −1+x ⁹ points on the curve where x = -1 and…

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Q: 1. g(x)=3 tan¹ 3x 2. y=xsin ¹2x+cot ¹ √ 3. f(x) = sin ¹

A: Let's find derivative of given function.