Στης (1) n=1 √√n n

Q: Use the linearization of the function ƒ(x) = x²/³ at x = 8 to approximate 7.72/3 Enter your…

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Q: Question 2₁. :s) Consider the point P(2,-1,-4) and the vectors a = and 6 =. (a) Find the unit vector…

A: Given the points P(2,-1,-4) and the vectors a→=<-2,-1,2> and b→=<-3,2,2>. (a) The unit…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: we need to find out the equation of the tangent line.

Q: k=1 √k +1 k2 x+ 1 2 k

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Q: Use the Chain Rule to find the indicated partial derivatives. u = x + yz, ди ди драг ди др ди ar ди…

A: We need to find out the partial derivatives.

Q: The graph of a polynomial function f is shown below. a. The root(s) of f with odd multiplicity is…

A: Note: Since, the student has mentioned to solve parts (c) and (d), so we are solving accordingly to…

Q: I need help when it comes to trig identities. I'm having a hard time finding integrals of tan and…

A: A little bit of trigonometry (Basic transformations) and some pre-cal is required for such…

Q: d'y Jse implicit differentiation to show that if y2 + x² = 6xy, then dx² 6xy (y - 3x)²

A: The given equation is; y2+x2=6xy.

Q: n=1 9 (3n − 1) (3n+2)

A: To find: ∑n=1∞93n-13n+2 ∑n=1∞9(3n-1)3n+2=∑n=1∞ 33n-1- 33n+2

Q: Find the following for the vectors u = 4i + 8j+√3k and v= -4i-8j-√3k. a. v*u, |v|, and lu b. the…

A: Given u=4i+8j+√3k    |U|=√(4²+8²+3) =√16+64+3 =√83 And V=-4i-8j-√3k |V|=√(-4)²+(-8)²+(-√3)²…

Q: an 1-(-1)" √√n

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Q: Express the region D = {(x, y)| 4x² + 4y² ≤ 28} in polar coordinates. Sorry, that's incorrect. Try…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A: Let radius of sphere=r cm  We use Volume of sphere=43πr3

Q: Compute the divergence and curl of the following vector field: V = (sin(yz), sin(xz), sin(xy)).

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Q: x² (x² + 1)² 21. y = [(3x² + 2x + 2)(x- 19. y=

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

Q: Given f (9) = 2. f' (9) 9. g (9) = -1, and g' (9) - 7, find the values of the following. (a) (b)…

A: givenf(9)=2f'(9)=9g(9)=-1g'(9)=-7

Q: Use the given graph of the function to answer the following questions. Answer Formats • Type your…

A: PART 1          When f(x) increasing f'(x) > 0, and          when f(x) decreasing f'(x) < 0.…

Q: Each side of a square is increasing at a rate of 4 cm/s. At what rate is the area of the square…

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Q: A company's revenue from selling a units of an item is given as R = 1300x - x². If sales are…

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Q: Compute the given integral using Fubini's theorem, where R is the rectangle [-1,1] x [1,2].

A: Given:        ∫∫R3xy dxdy where R is rectangle  [-1,1] x [1,2]       =∫12∫-113xy dxdy integrate…

Q: Compute the inverse matrix, if it exists, using elementary row operations (as shown in Example 3).…

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Q: In Exercises 1-18, suppose that x and y are related by the given dy equation and use implicit…

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Q: Let f(x) = x ln(x²) - : Use the second derivative test to find the local min/max of f(x). f''(x) =…

A: Given: Now,              f''=xlnx2-x''     =2lnx+1'      =2x Now, we need to find the critical…

Q: 45. Find the equation of the line tangent to the graph of y = 2x(x-4) at the point (5, 10). 46. Find…

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Q: Identify the vertex by writing the equation in the standard form of a quadratic function. p(x)=…

A: The equation is p(x)=47x2+5

Q: 19. f(x) = 1 x² - 2x + 2

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Q: Suppose f is a continuous function where f(x) > 0 for all x, f(0) = 4, f'(x) > 0 if x 2, f'(x) 0 if…

A: Note the remarks according to given features of the function. fx>0 for all x, i.e., the function…

Q: B. Solve the problems related to the application of First Order Differential Equations. 2.…

A: We have been asked to find half life of a radio active material which loses 25% of it's mass in 10…

Q: Given the demand function D(p) = √375 – 2p, Find the Elasticity of Demand at a price of $165 6.708…

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Q: A box with no top is made from a rectangle with dimensions a = 15 inches by b= 11 inches by cutting…

A: As per our guidelines we are supposed to answer only three subparts of the question. So the first…

Q: 5.6.3

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Q: Compute the inverse matrix, if it exists, using elementary row operations (as shown in Example 3).…

A: Inverse of matrix

Q: Equations Linear in Two Variables 1. (2x + 3y - 5)dx + (3x - y - 2)dy = 0

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Q: an = sin Nπ 2

A: Let's find given sequence is converges or diverges.

Q: Let D be the region bounded by the y-axis and x Provide your answer below: D={(1,0)| ≤r<,<<} [ 9-y2.…

A: Given:- D be the region bounded by the y axis and x=-9-y2

Q: Differentiate y=(x^2+5)(cubed root x^2+2) y'=

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Q: Find d²y dx² if x=5+ t², y=t-t³

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Q: The figure below shows a satellite orbiting Earth. The satellite passes directly over two tracking…

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Q: Differentiate the functions in Exercises 11-20 using one or more of the differentiation rules…

A: Derivative of function

Q: Find the area of the region bounded by graph of y=4-x^2 and y=0

A: The given curves are y=4-x2 and y=0..   Now find the point of intersection between the given curves.…

Q: lim 5 216 H-X 10 x12+36 x16 ||| Number Show your work and explain, in your own words, how

A: Let's find limit.

Q: 11. y= 13. y 15. y= 17. y= x-1 x + 1 x²+1 x +3 (2x + 1)² 1 2 x²+1 TT + 1 12. y=x²+x+7 14. y= x + 16.…

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Q: Verify that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8]. Estimate…

A: According to the graph we can observe that the graph is continuous and can satisfy mean value…

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interva as a…

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Q: it says its wrong when i put it into my homework

A: Given: The particle is moving along the curve y=x dxdt=3cm/s at (9,3) We know that distance between…

Q: 1 2 3 B A y 0 - 4 - 1 Rewrite the logarithmic function rule f(x) = log³(x an exponential equation.…

A: (A).The given function is:f(x)=log3(x)

Q: Find the critical point and determine if the function is increasing or decreasing on the given…

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Q: A se 0

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Q: The derivative of a function of fat is given by provided the limit exists. f(a+h)-f(x) = Use the…

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Q: $ 29moosd 3 nedì,0 A(r) = √√√r. er²+1 W DCO OW

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