Let y=tan(4x+6)  Find the differential dy when x=1 and dx=0.1  Find the differential dy when x=1 and dx=0.2

Q: If -9x+7y √6-x²-y² f(x, y)= then the domain of f is equal to D = {(x, y)| x² + y² < 6} Select one: O…

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 26² 27² 28² By the + + +…

A: According to question,Given series,1262 + 2272 + 3282 + ........

Q: f(x, y) = 6√x - y²e-³xy е a) b) + elw Find få and fy. Evaluate frzy (4, −1).

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Q: 01. |x2 - 1\dx = a. b. 2 C. 432 - 23 23 d. 틀-

A: This question can be solved using the concept of definite integrals and modulus function.

Q: Let f(x) = 2x+1, if x1 O (-∞, 1) U (1,00) O (-∞0, 1] U (1, ∞0) OR O (-∞0, 1) U [1,00)

A: topic- limits and continuity

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A: We want to find the domain.

Q: If f(x, y) = 2√√x² + y2 - 16, then the domain of f is the set D = {(x, y) x² + y² ≤ 16}. Select one:…

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Q: z = e Select one: True False In (2-y), dz and x = s² - 6t, y = t - s, then the value of when t = 4…

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A: We have to calculate the limit.

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A: The given function is;  f(x,y)=4x2-3xy+5y-e3x+8y.

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Q: he domain of the fur

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Q: 23. Given the triangular numbers 1, 3, 6, 10, 15,... Find the 7th and 8th term of the series. a. 26…

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Q: Let f(x,y)=- lim f(x,y)? (x) (0,0) x8+21² Using the two-path test, lim (x,y)-(0,0) Which of the…

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Q: Use Example 1 as a model to evaluate the limit n limf(c)Ax; i=1 n180 over the region bounded by the…

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Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: This question is based on vertical and horizontal asymptote.

Q: 2. Evaluate x² dx (x-1)(x² + 4x + 5)

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Q: 1/4 1 1/12 √√x (4x + 1) √x (4X - dx

A: See the details solution in below

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A: We need to find rate.

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A: Given that point 2,6,-8   and vector or line ,n=jTo  find : equation of plane Solution :Direction of…

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Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

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Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

A: To find whether given statement is true or false.

Q: - 2. (x²y² + xy + 1)ydx + (x²y² − xy +1)x dy = 0

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

A: This question can be solved using the concept of horizontal and vertical asymptote of rational…

Q: z = (x + y)², x = s²t, y = st². Use the Chain rule to find d ds for t = 1 and s = 2.

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Q: The following limit Select one: O O equals 16 3 equals 0. None of them O does not exist. O equals 3…

A: This question is based on two variable limits.

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is:

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Q: 3) [A Consider the DE: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: Use exact equation

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Q: Using Linear Approximation, estimate Af for a change in x from x = a to x = b. f(x) = ln (x), a = 1,…

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Q: If f(x, y) = sin (xy) - yer, then f (0, 1) = -1. Select one: O True O False

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: √x +3 If f(x, y) = xy + 7 the domain of f(x, y). Select one: True False then the point (1, −7) is in

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Q: r(t) = (−2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 Cos cos 4 where C is a…

A: Given:    rt=-2cos2t,3sin3t,ln2t then  ∫rt dt =∫-2cos2t,3sin3t,ln2tdt…

Q: f(x, y) a b) = 4x²+2y² Find the domain of f. Show that the limit does not exist lim f(x,y) (x,y) →…

A: Here, the given function is: f(x,y)=3xy4x2+2y2

Q: 4. ff 3 dx dy 0 y

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Q: stion 2 [ Given the function xye* 2x³ +50y² f(x, y) = ind the domain of f. ind lim (x.v)-(0.0) f(x,…

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Q: give an example of derivative

A: We have to give an example of derivative

Q: Let f: [1,1]→ R be a function given by f(x)=2x-x2. Then the inverse image (preimage) of [0,4] under…

A: The answer is option D