./ which expression best to describe 31% ? (a) Just under a half (b) A tiny fraction (c) Nearly a third (d) Roughly one quarter

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

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Q: te: 2² £²,₁ ₁° (4x² yz – # ) dz dy dx -

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Evaluate the integral: -2e π/3 ₁²/³ tlnu tans ds du dt

A: Topic = Integration

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Q: Find the area of the region bounded by the curves 1 y = (x+8)²¹ Y = 4 and the x-axis using vertical…

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Q: integral: 2² sin (-) dt du Evaluate the integral:

A: use substitution method and integration of parts for solving the integral

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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: 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: Evaluate: ƒ³, ƒ²₁ √√₁²[z³(x + y)³] dz dy dx -3

A: Given :∫-33∫-12∫01z3x+y3dzdydx

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A: On solving this we will get

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A: This question can be solved using the concept of continuity of a function at a given point.

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: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: 1) Associative property of addition (8+2)+4=8+(2+4) 2) commutative property of addition…

Q: t sin (=) dt du

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Q: Question 8 Determinethe equation of the tangent line to the curve, y = 3x4-2x-1 4-x² , at x=1.

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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: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

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Q: Determine the instantaneous rate of change of the function √ sin sin (2³) f(x) = [x² x3 At x=1 dt…

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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: Evaluate the following * 6cos (2x) dx O3sin(2x)+C O 2sin(2x)+C O sin(2x)+C O-3sin(2x)+C

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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)

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Q: Use the table of integrals to evaluate the integral. 2 √2²47x²³ √4x²-x+ d² dx

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Q: Given F(x) below, find F'(x). cos - Las () (1² - 2) dr F(x) =

A: Given.

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A: Given

Q: ¹₁1+x²x+2y dy dx

A: We need to evaluate the following iterated integral as following: ∫-11∫2x21+x2x+2ydy dx

Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = F(x)= 2 cos (x) (1²-2) dt

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

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Q: 11.Doe = 8. Find the slope of the secant line. f(x) x-8 3x+4 X1 = 2, X₂ = 0

A: Here we have to find the slope of a secant line.

Q: Evaluate: xy² dx dy

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Q: valuate: xy² dx dy

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Q: Derivative of arctan(ln(n))

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Q: x 4 dx (x²+4)² S

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Q: The derivative of y with respect to a given ¹ = 1 is Oy' = yx²-¹ O y'= 0 Onone of the choices Oy' =…

A: I have stated the used formula in the solution.

Q: u = (x2y2)/(x+y), show that x(∂u/∂x) + y(∂u/∂y) = 3u

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Q: Evaluate: 3₂(4x²y - z³) dz dy dx

A: On solving this we will get

Q: Evaluate: ff xy² dx dy

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Q: Question 3: Show that 5xy² lim (x,y) (0,0) x² + y² does not exist.

A: Solve the following

Q: Let R be the region enclosed by the polar curve r (0) = 3 ln (0) where 7π <O< 8 Y X 72 ㅠ R 1 1

A: Given Curve rθ=3ln(θ)whereπ2≤θ≤7π8

Q: Evaluate: 3₂₁ [2³(x + y)³] dz dy dx

A: Given: I=∫-23∫-12∫01z3x+y3dzdydx   As we know the Power Rule: ∫ax+bndx=ax+bn+1an+1+C, where a &amp;…

Q: Which of the following can the first derivative not be used to determine? 1. where the function is…

A: First Derivative of a function gives slope of a function at any point. Refer to following statements…

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Q: Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis, and…

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