Evaluate the line integral f9ydy over y = x³ for 0 ≤ x ≤ 3. (Use symbolic notation and fractions where needed.) Lydy=

Q: 5. Set up a triple integral to find the volume of the tetrahedron that has vertices (0,0,0),…

A: Given vertices ( 0,0,0 ) ( 0,0,4 ) ( 3,0,0 ) ( 0,4,0 )

Q: Let ƒ(x) = x³ – 15x² +27x - 2. Find the open intervals on which f is increasing (decreasing). Then…

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Q: Consider the following. 8 8 √³x³ dx = 960, [°x dx = 24, [dx = 4 J4 8 ¹ / ² (7x - 11/12*+²³) dx…

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Q: 33. Find the centroid of the region bounded by the curves: a) y = x³-x and y=x²-1. b) x+y=2, y = x³…

A: Given:      b) x+y=2, y=x3 and y=0

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A: To find area under the curve.

Q: (b) You are given the point (-2, π/4) in polar coordinates. (i) Find another pair of polar…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 9…

A: Topic = Area

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A: We have to find the function.

Q: Select the factored form of the expression 3x² - 11x-4.

A: factor: 3x2-11x-4

Q: Find the area of the parallelogram whose vertices are given below. A(-3,2) B(2,0) C(8,3) D(3,5)

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Q: MATH 0121-LAB 8 1. The time it takes for an exponentially growing quantity to double is given by…

A: We have to find the time of doubling.

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A: Note:- as you required only answer not complete work so, as i am solved in this manner.

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Q: Evaluate the limit: lim, +∞ (e² + x) =

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Q: a. Find the linear approximation for the following function at the given point. b. Use part (a) to…

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Q: Find the height of the largest isosceles triangle that can be inscribed in a circle of radius r.

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Q: How do we know that theta goes from o to pi/2?

A: While doing the transformation we get the result

Q: 33. Find the centroid of the region bounded by the curves: a) y = x³ -x and y=x²-1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: The given relations is one to one over function over its domain. -4 M YA 7 2 -2 £ 2 4 Xx

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Q: Find y' and y". y = In(x + √5 + x² ² = In ( x +

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Q: Determine whether the function's vertex is a maximum point or a minimum point and find the…

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Q: Determine if the given statement is possible or not. 1. A set S where infS ≥ supS. 2. A set T…

A: 1. Possible   Let set S = {1}  Here, infS = 1 and supS = 1 So, infS= supS  Hence, infS ≥ supS  2.…

Q: A certain unit produced by the company can be sold for 200-0.02x pesos where x is the number of unit…

A: We need to find out the price  per unit that will maximize the revenue.

Q: Given f''(x) Find ƒ ( ²7 ) = HERBE 9 sin (3x) and f'(0) = 1 and f(0) REISE

A: The given differentiable function: f''(x)=-9sin(3x)  ;          f'(0)=1   and   f(0)=-3

Q: Find by implicit differentiation. dy dx sin(x² + y²) = xey dy dx ||

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Q: Find the general antiderivative for the function: f '(x) = x + (1/x3) , x > 0, f(1) = 6 *please use…

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Q: a. Find the linear approximation for the following function at the given point. b. Use part (a) to…

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Q: / x + 1 x² + 2x dx

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Q: A 16ft. ladder leans against a wall. The bottom of the ladder slides away from the wall at a rate of…

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Q: Use integration by parts to solve fx'in (3x³x.

A: Here is the solution:

Q: 3) Given the polynomial p(x) = x³ - 2x² + 4x-8 and the fact that x = 2 is a zero of this polynomial,…

A: Given query is to find the factors using synthetic division.

Q: Let U = {a, b, c, 1, 2, 3, 4} A = {b, 2, 3}        B = {a, b, 2, 4}         C = { 4}        D = {c,…

A: Let U=a, b, c, 1, 2, 3, 4A=b, 2, 3, B=a, b, 2, 4, C=4, D=c, 3, E=a, b, 1, 2, 3To put the most…

Q: d. Find the reflection of v = with equation 2x+y - 5z = 0. 0 1 -3 - in the plane

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Q: Maximize the function f(x,y,z) = x² + 2y − z² subject to the constraints 2x - y = 0 and y + z = 0.…

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Q: Integrate h(x, y) = yi-xj over the triangle with vertices (-2, 0), (1, 0), and (0, 1) traversed…

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Q: uppose f(x, y) = a) ▼ ƒ(x, y) = = 1 ⇒) ▼ƒ(-0.7, 7) = tan(x) + y and u is the unit vector in the…

A: The given function is f(x,y)=sqrt(tanx+y) Point = (-0.7, 7) Direction =<2,3>.

Q: 1 1 1 Calculate the gradient of h(x, y, z)=33 Vh = h (2xi) + 3yj + 3zk

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Q: Find equations of the tangent line and the normal line to the graph of the given function at the…

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Q: sin (=) functions of u and v. If z = sin( дz du дz Əv and x = In(u) and Y v4, find the following…

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Q: Use the Comparison Test to determine whether the series converges. ∞     n = 1an where an =  2 n(n…

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Q: Please give me notes on root test, ratio test and comparison test

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Q: Study the asymptotic behaviour for n→ +∞ of the sequence 1. an = 1-n² n+3

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Q: f(x) = 24 x² + 12

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Q: Condense the following expressions into a single logarithm by applying the properties of logarithms.…

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