Find the derivative of the function f(z) = √2 O None of these. 37 Of(z) = √2z f(2)=

Q: 5) (10 ptos) Determine los puntos críticos de ƒ(x) = ²x³ + x² – 2 2x

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Q: |-2 Evaluate the triple integral ²³ cos (y²) dz dx dy.

A: Here we have to perform triple integration

Q: 10+200

A: Using sum rule

Q: Q1. If g = xy — yz — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F and…

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Q: Evaluate the derivative of the following function. - f(x) = 18x sinh −1x − 180x2 + 1 f'(x) = 18 cosh…

A: To find the derivative f'(x)

Q: 7. Let C be the portion of the circle x² + y² counterclockwise. (a) (b) Evaluate La xy dy. = 4 from…

A: Let's solve given integral.

Q: Find a bound on the magnitude of the error if we approximate √2 using the Taylor approximation of…

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Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

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Q: The side of a square is growing at the rate of 5 centimeters per second . Find the growth rate of…

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Q: Show that the vectors , and are coplanar.

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Q: II) Let f be the piecewise function f(x) = x³ + 6x² + 8x x+2 1-x-2, -, x≤-1, x -2 -1 1 1) Sketch the…

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Q: Calculate the future value of end-of-month payments of $6,000 made at 2.64% compounded quarterly for…

A: To find the amount after 5 years.

Q: i) Find the exact length of the curve x5 1 15 4x3 y= + 1 < x < 2,

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Q: b) [. obtained curve 1: Find the volume of the solid by rotating the region bounded by the y = -x² +…

A: Solve the following

Q: First four terms of the sequence are: O O O ○ ○ O 6 {ff, 5 14 9 n²+5 n 1+4 n 61 36 26' 14 { 14/1/2,…

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Q: III. Improper Integrals. Determine if the following integral is convergent or divergent. If it is…

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Q: 9 outside cardioid r = 1 + cos 0 inside circle r = 3 cos ( 10 lemniscate ² = 4 cos 20 outside r = =…

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Q: Use power series operations to find the taylor series at x = 0

A: We have to find the Taylor series.

Q: 2- The work can be computed as: W = fp dv. Using a combination of the trapezoidal rule, Simpson's…

A: Here we have to use trapezoidal rule , Simpson's (1/3) rule and Simpson's (3/8) rule

Q: Calculus Question

A: Disclaimer: Since you have asked multiple question,we will solve first for you.If you want any…

Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

A: On solving this we will get

Q: The area of the surface obtained by rotating the curve y = √√x + 1, for 0 ≤ x ≤ 2, about the x-axis,…

A: Given :

Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

Q: Let C be the positively oriented square with vertices (0,0), (1,0), (1, 1), (0, 1). Use Green's…

A: Let's solve by using green theorem.

Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1).  Find a vector equation…

A: We can find vector equation of the line segment from Q to R .

Q: Express e in the form a + ib. (Simplify your answer completely.) z = −7+3″ i 447

A:

Q: i) Find the general term (an) of the sequence 3e-¹, 10e-2, 29e-³, 66e-4, 127e-5,218e-6, ... ii)…

A: The given sequence is;  3e-1, 10e-2, 29e-3, 66e-4, 127e-5, 218e-6, ...

Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as below.

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: The photo above shows a graph of O Relation D Function C.

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Q: Find the general solution of the following differential equation. y"+11y12y = 0 NOTE: Use c, and ce…

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Q: d² -sin (2x³) = = dx²

A: d2dx2sin2x5=ddxcos2x5· 10x4=10-10x8sin2x5+4x3cos2x5

Q: 26. Graphed below is the function g(x) and a transformation of g(x). Write an equation for the…

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Q: If L{f(t)}=F(s), evaluate F(2), f(t) = 1 + 2t - (1/3)t4 O 0.75 O 1.25 O 1.50 O 1.0

A:

Q: Find the distance, d, between the point S(5,6,5) and the plane 6x + 7y + 1z = 12. The distance, d,…

A: topic- distance between point and plane shortest distance of plane ax+by+cz+d from point…

Q: The half-life of a certain substance is 3.6 days. How long will it take for 20 g of the substance to…

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Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: Find the partial derivatives: af (x, y, z)/dx, f(x, y, z)/dy, df(x, y, z)/dz for the following three…

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Q: The series k=1 5( − 1)k+1 - kl.1 O converges diverges.

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Q: Determine all values of x at which the function f(x) O discontinuous at -1 and 1 O discontinuous at…

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Q: Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

A: Here we have to find the derivative.

Q: Q5. Evaluate the triple integral cos(y²) dz dx dy.

A: The given triple integral is;  Cos(y2), z from 1 to 3, x from 0 to y, y from 0 to sqrt(pi/2).

Q: Use the functions below to find the given value. f(x) = x 2 8 g(x) = x³ (g¹¹) (-2) = |

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Q: State the equation of f(x) if D = {x = R] x * f(x) f(x) f(x) f(x) = = = 2x+1 3x - 2 x + 1 3x + 2…

A: Topic = Functions

Q: 13. A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light which…

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Q: i) Find the general term (an) of the sequence 3e-²,4e¯4,5e¯6,6e-8, 7e-10, 8e-¹2,... ii) Calculate…

A:

Q: Determine whether the following series converges or diverges. n² +1 Σ n² +n +8 n=2

A: We have to find the series is Convergent or divergent.  We can apply limit rule to check it.

Q: Find the length of the dashed zig-zag path in the following figure. 34 0.75- 0.5+ 0.25+ 00.25 0.5…

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Q: Compute the directional derivative of the following function at the given point P in the direction…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the equation of the tangent line to the function f(x) = ln(5x) at x = 8. (Use symbolic notation…

A: We have to find out the equation of tangent