Simplify. Write "undefined" for expressions that are undefined. -3 -6 6 1 4 -4

Q: Find the derivative of the following functions. g(x)=(x²³-3x²+1) -9x(x-2) (x²-3x²+1)* g'(x)=-

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Q: There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different…

A: Concept: There are two clocks A and B, one clock is broken and another one is normal which means…

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: topic- inflection points and concavity

Q: Be u = x2 + yz, where x = rsin(t), y = rcos(t) and z = rsin2(t), calculate: ∂u/∂r and ∂u/∂t

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Q: 1. Given vector 2 0-3 is 2. It is known that a à vector : ( 2 ) and 3 = (-1) is a vector in 1R³ with…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating about the x-axis the…

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Q: 4. The value of fx sin(x²+3) dx Acos (x²+) + C C. cos (x²+)+C B. -cos (x²+)+C D. -cos (x²+) + C

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Q: he first term of an anthmetic sequence is 6, and the tenth term is 2. (a) Find the common difference…

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Q: 5. Evaluate : p.v x² -∞0 (x²+3)² 8 dx

A: Concept: Some important integration formulas: ∫1a2+x2=1atan-1xa+C Where C is constant Reduction…

Q: The following will make the limit of a certain rational function of a as z approaches negative…

A: As we know tha rational function is of the form  P(x)/Q(x)

Q: Evaluate: xy² dx dy

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Q: lim (sech 2x)csch x x² +0+*

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Q: Consider a continuous function f(x) = 2e-1-2x, which is true about the relative extrema of f? f has…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: 2. Evaluate all of the integrals. b. 2|x - 21 dr

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Q: Evaluate [x² √2x+1dx

A: Indefinite Integration

Q: Evaluate: ₂₁(4x²y — z³) dz dy dx-

A: ∫03∫-24∫104x2y-z3dzdydx

Q: (x² - y²)²] 1²₁ 1² du du dt x+y Evaluate: ₁ S

A: Given ∫-13∫02x2-y22x+ydudt Since x2-y22x+y is constant with respective u and t, we take constant out…

Q: What is the slope of the tangent line to the curve y = T I 7 O-2 02 0 - 17/12 01/1/01 O none of the…

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Q: -3 (x² - y²)²] Evaluate: ₁²² x+y du dt

A: Given

Q: Find the area of the region bounded by the curves y= (x+8)2 y = 4 and the x-axis using vertical…

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Q: Find the area of the region bounded by x = 2y² +1 and the y-axis using the horizontal strip.

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Q: Use the table of integrals to evaluate the integral. 2 5x³√4x² - x4 dx

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Q: xn+xn-1+xn-2+...+ roo (n−1)n-1+(n−2)æn=2+…+ What is the lim ne Zt?

A: This is a problem related to limit and continuity. Based on the general formula and concept we will…

Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given problem is :

Q: Evaluate: ³₂(4x²y — z³) dz dy dx

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Q: What will be the orientation of the curve of the graph of the function f(x) = 3 on (-3,0)? z² z+3 O…

A: Given the function  f(x) = x2x+3 on -3, 0.

Q: What is the direction of the vector (8, -7)? A 41.19° B 138.81° с 221.19° D 318.81°

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Q: Which of the following functions will be continuous on (0, 3)? O A. g(x) = 7√2² - 16 OB. 6 f(x)…

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Q: strip.

A: y-axis using the horizontal strip ,  y = 0 , x = 4/0+1 , x=4  so y-axis at x=4 and y= 0. Area of…

Q: Evaluate: (4x²yz - ) dz dy dx

A: Let,    I  =∫23∫-14∫10 (4x2yz - z44) dz dy dx           I = ∫23∫-14[∫10 (4x2yz - z44) dz] dy dxI=…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that  The Region bounded by the curves  y = 4 + sec(x) , y = 6 ,  -π3≤x≤π3  about y = 4…

Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: v (2uv²-3) du + (3u²v² - 3+4v)dv = 0 Ov(u²v² +3u + 2v) = c 2 Ov(u²v² +3u-2v) = c Ov(u²v²-3u-2v) = c…

A: We need to solve D.E.

Q: About 13% of the population is left-handed. If two people are randomly selected, What is the…

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Q: An ocean liner is sailing north at a rate of 13 miles per hour. The ocean current is flowing N-10°-W…

A: In this question we have to find the velocity of the boat relative to land and what direction is the…

Q: n+an-1+an-2+...+ hat is the lim ´x→∞ (n − 1)x¹−¹ + (n − 2)xn−2+...+ï' −‚n €Z+?

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Q: 22. Find a domain for the quantifiers in 3x3y(xy^ Vz((z=x) v (z = y))) such that this statement is…

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Q: Which integral represents the area of R? Choose 1 answer: 3π A 16³ (²1 + 2 cos² (0) + 2 cos¹ (0)) de…

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Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

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Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: What is the magnitude of a projection p = (7,3) on a = (-4, 2)

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Q: 3 If the total cost function is given by TC = 300+5g + then the marginal cost function MC = I 3 O a.…

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Q: Consider the function f(x)=2x^2 +(−4)x What is the value of the constant of integration such that…

A: Topic:- application of integration

Q: 2. Evaluate all of the integrals. 2²-x+4 (x + 1)(x²+2) da

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Q: Two passenger airplanes left the same terminal at the same time. One plane flew due north at an…

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Q: t sin (=) dt du

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Q: 3 Evaluate the integral: Soft²eu du dt

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Q: f(x, y) = ln(x² – 25) + √√-y² - x² – 10x . -

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Q: Evaluate the integral: S/2 sin(4t - u) du dt

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