OGraph the following Runetion two -4

Q: Find the limit. lim (t i - 9 j+ 1? k) lim (t i – 9 j+ k) = i+ j+ k i i i

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Q: A company's marginal cost function is where x is the number of units. Find the total cost of the…

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Q: Consider the function g: IR → R , g(x) = 3x* – 32x2, the function has a turning point (x,y) for: 4 O…

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Q: -2 *y"+6xy' + 6y = x²

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Q: Set up the definite integral required to find the area of the region between the graph of y = 18 - z…

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.02q + 5q 38 where q is…

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Q: Find the domain of r(t) and the value of r(to). | NOTE: Round your answer to two decimal places when…

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Q: c. lim G)3-* - 1 X-3 2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use finite approximation to estimate the area unde the graph of y = 5x² and above the graph of f(x)…

A: As per guidelines, I can answer maximum three subparts if a question. Since you have asked fot…

Q: r = V cos 20 r = 5 cos 0

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Q: _ア-1 x² - 1' y(2) = 2 dx

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Q: Find a formula for the nth term of the arithmetic sequence. a = 20, d = 7 an

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Q: Consider the expression: ey = 4x + y* , In which y is an implicit function of x , after derivation…

A: Given problem :- ey =4x+y4 , find y'

Q: Flnd the maximum rate of change of f (x.y) =e*²+e*+2y at P (2,1) 29 e4 V 29 e 16 O 7e4 O Viet

A: gradient of function fx, y=ex2+ex+2y, at 2, 1

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 6 1 lim t→+o \ 8t2+9' 6t (?, ?)

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Q: Use Green Theorem to Evaluate y x²dx – x²dy where C is left half of x² + y² = 25

A: Note that left half of the circle x2+y2=25 means the second and third quadrants. Now, in the second…

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – the…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -72

A: To evaluate: ∫02∫-72y2∫-48zyz dx dz dy

Q: Consider the equation 4y" + by' + cy = 0 the constants b,c,m,n are real and different from zero, the…

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Q: If f is differentiable at a number, x, then f is continuous at x.

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Q: Let f(x) = 10x° + rx? + e2x. Compute f(")(x). (Use symbolic notation and fractions where needed.)…

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Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: The intelligence quotient, or IQ, is a measure someone ability to reason and solve problems (some…

A: This question can be solved using the concept of normal distribution.

Q: The graph of a function y f(z) is shown. C. At which point IS the following true (Only type the…

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Q: Assume that f(x) is a differentiable and invertible function so that f(3) = 4 and f'(3) = .…

A: fx is differentiable and invertible function so that f(3)=4 and f'(3)=12

Q: Find the exact arc length of the curve 1 (y² + 2)² from y 1 to y = 5. X = Enter the exact answer. L…

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Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

Q: In exercises 11–30, find all critical numbers by hand. If avail- able, use graphing technology to…

A: 13)f(x)=x34-4x14f'(x)=34 x-14 -414 x-34f'(x)=34 x-14 -x-34 f'(x)=034 x-14 -x-34 =03 x-14 =4x-34 34…

Q: Test the series for convergence or divergence. E(-1yr (3n – 1). 7n +1 n-1 Evaluate the following…

A: Recall: Divergent theorem,    If limn→∞an≠0, then the given series ∑n=1∞an is divergent. We have,…

Q: Find the four​ second-order partial derivatives for​ f(x, ​y)= 7x4y8 + 8x7y5 Fxx= Fyy= Fxy= Fyx=

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Q: The graph of a function y= ) is shown At which point is the following true (Onlytype the letter of…

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Q: 1. Sket dh the graph of the cylinder r = (y – 2)2 in R. %3D

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Q: Find the average value of f(x) = v9 – x over the interval (0, 3]. Write the exact answer. fave 1…

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Q: Problem 5 Find the Maclaurin series for f(x) and its associated radius of convergence. (a) f(x) =…

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Q: Choose the correct word to fill in the blank for the following theorem. "If f(x) is on [a, b), then…

A: To solve the following problem

Q: Sketch the region whose area is represented by the iterated integral. sinx dydx O un in x tan (x/2)…

A: Here is the solution:

Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.

Q: k lim (1+†) k→∞ k

A: We have to find limit

Q: Find the centroid of the region bounded by the graphs of 512 y = x, x = and y = 16. NOTE: Enter the…

A: Given; y=x , x=512/y^2 , and y=16

Q: f(In) For the function f(x) = x + 3x + 1, write Newton's formula as En +1 = F(In) = In - %3D for…

A: Topic:- application of derivatives

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i +j+ 9k w = i + 7j + 6k Find…

A: Given; u=4i+6j+k , v=i+j+9k , w=i+7j+6k Volume (V)=?

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

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Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x7 1 g(x) 5x + 1 (Express numbers in…

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Q: Question Specify which of the following sequences converge en n+V5 an =5- %3D n2 Cn = an and Cn the…

A: If limn→∞an  exists and is finite the then sequence an is converges.

Q: Solve y" +3y'+2y =

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Q: 17. Let y = 4t + 3, t = 6e and s = 1 + In x. Find dy in terms of x. dx %3D

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Q: Find the center of mass of the given system of point masses lying on the x-axis. m = 8, m, = 3, m, =…

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Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A: We have to find the equation of population.

Q: Sketch the region R whose area is given by the iterated integral. Ap xp 8- 7- 7 6- 6 5- 5- 4- 4 3-…

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Q: Let f(x) = 10x6 + xx² + e2x. Compute f()(x). (Use symbolic notation and fractions where needed.)…

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