(235 – 4.x25 + 2x)dx

Q: 3 (2). Consider the solid Q bounded by the surface of the equation y =x² + z? and the planes, zV3 =…

A: Here's the solution... please have a look at it.. Answer: option C

Q: If f(x, y) = -x - y* + 3xy - 2x - 5y, then in the process of obtaining its critical points the…

A: We want to find value of b.

Q: Let y = tan(4x + 4). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when x…

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Q: Suppose we wish to find the integral of x dx/(1+x^4), the first step to solve this is by

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: Find a plane through the points (4,-3,-4), (-6,2,8), (3,-8,8)

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Q: y'= x(5-x)² when: Theni I y=0 y=0 x: 0 (0,0) Use vertical element metho d: y x(5-x)*

A: Given question is solved with explanation.

Q: Use the function f(a) to fill in the table:

A: Given :

Q: Determine the real values of a, b, and c for the quadratic function Ax) = ax + bx+c, a +0 that…

A: Here we have to determine the real values of a, b, and c for the quadratic function f(x)=ax2+bx+c…

Q: dy Then find the slope of the curve at the given point dx Differentiate implicitly to find…

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Q: Suppose f(x, y)= g(x)h(y), where g and h are continuously differentiable functions of one variable…

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Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that q : D → R is a function…

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Q: Find the probability that a randomly selected value of X lies in the interval [3, 5] if f(x) 1 - x².…

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Q: dx 6x + x2

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Q: b) Find the inflection points. 4. For the given function find the local extrema using the Second…

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Q: Find the arc length of the parametric curve. x = e', y = e, = V2t; 0<t< 2 L

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Q: Use the Divergence Theorem to calculate the surface integral F• ds; that is, calculate the flux of F…

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = z³ i –x³j+ y° k across the sphere x? +…

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Q: Let T: R - R be a linear transformation such that T(1, 1, 1) = (4, 0, -1), T(0, -1, 2) = (-5, 4,…

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Q: 15r If F(r) = and o is the surface (r – 3)? + y +z? = 49 oriented outwards, what is the value of F n…

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Q: 1 dx 1+ 2 sin? x

A: Integral

Q: Suppose that f is integrable on [-4, 7]. If the average value of f on the interval [-4,7] is 4.25,…

A: Given: Average value of f(x) on the interval [-4, 7] is 4.25 The formula for average value of f(x)…

Q: I really need your help, just want a guide or like a script type how to explain this on class each…

A: Here, you have to find the area bounded by the loop of the given curve. The given curve is: y2=x5-x2

Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

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Q: n(t) 2t2 -7 at the point t 3 is 11. || The slope of the line tangent to True False

A: nt =2t2-7 Or, n't=4t Formula Let, y=f(x) be the curve then the slope of the tangent of the curve…

Q: 3) Ernie the African Elephant is 9 feet tall and weighs 6 2 tons. Elijah is a similarly-shaped…

A: Unitary method: The unitary technique entails first determining the value of a single unit, followed…

Q: ) Find p(3). ) Find p(13). =) Find p(13)-p(3). p(13)-p(3) 1) Find and interpret this result. 13-3 -)…

A: Given query is to find the value of the function at indicated points.

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 - c and y = c – x² is…

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Q: Determine the value of b:

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Q: Suppose that z = f(x, y) is differentiable at the point (1024, 1024) with f,(1024, 1024) = 5 andf,…

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can solve as follows

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +9 1 lim tto 9t2 + 10' 7t |(?,?)

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Q: Use the principle of mathematical induction to show that the given statement is true for all natural…

A: Question number 6 has been solved as per the requirement of the student.   This question can be…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We have to find the limit

Q: Given the v-t diagram, determine the acceleration in ft/s^2 and distance covered in feet at 12s.…

A: These are the following points , we have to go through first The area under the v-t graph is the…

Q: An investment grew by 4% in the first year, 6% in the second year and 10% in the third year with…

A: Annual average growth rate is calculated as sum of each year growth rate divided by the number of…

Q: Verify Green's Theorem by evaluating both integrals dx + x² dy = // | da ду дх for the given path.…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: encourage new members a bank offers a savings account of 2.4% interest mpounded monthly provided new…

A: We will determine the account value after 10 years.

Q: Use Green's theorem to calculate.(2x³ – y*)dx + (x³ +y*)dy, where C is the boundary of the annular…

A: Apply greens theorem

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges.…

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Q: 4proof that d sech u = dx - Sech u tanhu.du dx

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Q: 3 5) Differentiate with respect to x: y = %3D 3x e

A: Solving the problem by finding the differentiation.

Q: After using Pythagorean identities to solve the integral of (sinx)^5*(cosx)^5, the next step would…

A: The given integral is; I=∫sinx5cosx5dx   We know that the Pythagoreans identity; sin2θ+cos2θ=1 The…

Q: Dy evaluating both integrals Ne ду dA y² dx + x² dy Əx for the given path. C: rectangle with…

A: We will verify Greens theorem.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: General Directions: Follow the directions given for each section. Write your solutions and final…

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Q: Compute the derivative of the function y = 8 sin-(x) at the point x = ; (Use symbolic notation and…

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Q: Current Attempt in Progress Use Green's Theorem to evaluate the integral. Assume that the curve C'is…

A: Using greens theorem