P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

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A: Solution is given below:

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A: The radius of a circular disk is measured as 24cm with a maximum error of 0.2 cm.

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A: According to question,Given Function,fx, x = x + y2 y-x

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Q: The following limit lim Select one: None of them O does not exist. equals 0. equals 1/3 O equals 1…

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Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5²- Find the domain of f. Show that the limit…

A: To find out the domain

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Q: π/2 The integral f/2 So sin drde is equal to cos O-1/2 O 1/2 0 1 00 10

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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

Q: a bush fire is burning a circular area whose radius is increasing at a rate of 3ft/min. how fast is…

A: A bush fire is burning a circular area whose radius is increasing at a rate of 3ft/min. its radius…

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

A: For a differential equation Mdx+Ndy=0  to be exact if ∂M∂y=∂N∂xand solution of a exact differential…

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Q: 1 -1 tan X x² +1 -dx

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A: The given problem is solved below in detail.

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A: Side of cube is increased from 5 to 5.2

Q: Let z =ellxy-56y and x =5616 + 6 and y =sin(s + 56). Use the дz дz Chain rule to find and dt - дл

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Q: 2x² sin x + 3y³ 3x³ + 2y² lim (x,y)→(0,0) if we approach along y-axis, we will get Select one: True…

A: This question is based on two variable limits.

Q: π/2 The integral f/2 So sin drde is equal to cos 0 O-1/2 O 1/2 0 1 00 10

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Q: The figure has a tangent line drawn at a labeled point. 9500 9400 9300 9200 9100 p(t) thousand…

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Q: ) Consider a horizontal parabola of the form ay² +by+ c = x wherea #0 and whose graph contains the…

A: Given problem:- Consider a horizontal parabola of the form ay² +by+ c = x whose graph contains the…

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

Q: If and x = 2t, y = 5t, then the value of equal to 12. z = x - 2y, Select one: O True O False dz dt…

A: Given that , z=x-2y and x=2t , y=5t find dzdt at t=3.

Q: Let 2 = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find when s = 2 and t = -1. Əz…

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Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

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Q: 2x² sin x + 3y³ lim (x,y) →(0,0) 3x³ + 2y² if we approach along y-axis, we will get 0. Select one: O…

A: To determine whether the following statement is True or False.limx, y→0, 0 2x2 sin x+3y33x3+2y2if we…

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

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Q: Evaluate the definite integral by the limit definition. L₁x³dx

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Q: Evaluate the limit: lim, ∞ ○-6 00 ○ 6 e 10-00 최승

A: This question can be solved using the concept of L hopital's rule.

Q: swer of the following lim 2x²+6y² lim (x,y)→(0,0) x²+y²

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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: Solve -2-55ds a. Ob. 2-5s In 32 C. 25s 5 ln 2 d. 25s 2 In 5 2-5s 2 In 5 +C +C +C +C

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Q: Explain why A -[-8=2] and 18 B 6 form a linearly dependent set o (Solve this problem by inspectic A…

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Q: A bush fire is burning a circular area whose radius is increasing at a rate of 3 ft/min. How fast is…

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Q: The domain of the following function: is: f(x, y) = Select one: O A. D= {(x,y) y ≤7-3x} O B. D= {(x,…

A: