Evaluate the following * [x√x² - 7dx

Q: Evaluate: 1+ 2y dy dx •x x2

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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 &…

Q: 3 Evaluate: £³₂ √²₁ ₁²[z³(x + y)³] dz dy dx

A: Given :∫-23∫-12∫01z3x+y3dzdydx

Q: -2 (x² - y²)²] Evaluate: S₁ S² P₁² dx dy x+y

A: Let's evaluate given double integral.

Q: Given f(x) = x2 - 2x - 3 the value of x for which the function has a point of inflection is: 1. x =…

A: In this question, we want to find the inflection points of the given function.

Q: s s² s² sln teu du ds dt

A: We have to solve multiple integration.

Q: Evaluate the limit using L'Hôpital's Rule. 11x³ lim x-0 sin(x) = x (Use symbols and fractions where…

A: Givenlimx→ 011x3sinx-x

Q: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: x≤ 1,0 ≤ y ≤ √1-x²,…

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Q: Evaluate: £²₁² [(x²-²²] du dt 2 y²)²₁ x+y

A: Given, ∫-13∫02(x2-y2)2(x+y)dudt

Q: . Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in - [0]. If…

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Q: t√√t + ,2 + t dx

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Q: √2+x-√2-x X lim- --0

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: The following equation P(t)= 28sin(360/365 t - 1.4) models the position of the sun at sunset, north…

A: P(t)=28 sin360365t-1.4To Find: The significance of the number 1.4 in terms of the DAY of the year?

Q: Derivative of arctan(ln(n))

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Q: The function g is continuous on the closed interval [1, 4] with g(1) = 5 and g(4) = 8. Of the…

A: This question can be solved using the concept of Mean Value Theorem.

Q: S¹₁₁ S1+₂x² x + 2y dy dx ·12x²

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Q: Evaluate the following limit, if it exists: lim x->7 = √x + 2 - 3 / x-7 (The square root covers…

A: In this question, we will evaluate the given limit expression.

Q: 3x(xy - 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.

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Q: 2 (x² - y²) ² Evaluate: ³₁² L 21 x+y du dt

A: We have to find value of given double integration.

Q: Find the point on the line y = 8x closest to the point (1,0). (Use symbolic notation and fractions…

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Q: For f(x) = {²-1 if > 2 5-x if x < 2 Of is not continuous at x = 2 Of is differentiable at x = = 2 Of…

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Q: 3 Evaluate: ₁ S 1²,₁ S² [(x²-x²)²] dx dy x+y

A: To evaluate the given double integral.∫-14∫03x2-y22x+y dx dy

Q: The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the…

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Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: Given :f(x,y)=-x2-5y2+10x-30y-62

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

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Q: The derivative of y with respect to given a = 1 is Onone of the choices O y = yx³-1 O V = 0 = = 9 *…

A: I have stated the used formula in the solution

Q: The 7th derivative of f(x) = 3x5 - 12x¹ + 7x³ − 11x² + √5 with respect to a is O 360T O none of the…

A: Topic = Derivative

Q: Consider the parametric curve: x = 5t² y = 2et Which integral gives the arc length of the curve over…

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

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

A: Topic = Integration

Q: lim (sech 2x)csch x x² +0+*

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Q: •π 2 (sin³r)√1 (sin³ x)√1 + cos x dx

A: Given problem:-

Q: II. Use the difference table to predict the next term in the sequence. Show your complete formula.…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

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: 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: For the following system: a) Determine how, if at all, the planes intersect. b) If they do,…

A: Given

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: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: Evaluate the following * [: 2x(4x² – 3)³dx (4x²-3)6 +C 24 O (4x² - 3)-6 24 +C (4x²-3)6 24 O " (4x² -…

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Q: Integrate the following Integrals: 1) [x² 3x dx

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

Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

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

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Q: Convert the following from parametric form to scalar form. x = 2t + 1y = -3t + 1

A: Find t from y and substitute that t in x to find the relationship between x and y.

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y 12…

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Q: 3 -2 Evaluate: ₂₁ [2³(x + y)³] dz dy dx

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Q: -2 Evaluate: ²₁5²[(x²-²²] | du dt x+y

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Q: Find a number in [0, 1] such that the difference of one third the number from its cube is minimized.…

A: Let the number be x. Let f(x)= x³-x/3 So, f'(x)= 3x²-1/3