2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

A:

Q: The angle between the two vectors is not equal to Select one: O True O False u= and v= 0= π

A: Here we use the concept of dot product of the vectors.

Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 8 Given g(x) = -2x³ + x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g(-x). 8 (-x) =

A: We can solve the question as below.

Q: 2. (x² + y² + 1)dx + x(x − 2y)dy = 0

A:

Q: Find all solutions of the equation in the interval [0, 2π). 2sin6θcos2θ - 2cos6θsin2θ = - √2 Write…

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Q: 7 Given the geometric sequence: 35,7 3' 45 Find an explicit formula for an, where the first term is…

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Q: 11. Use the comparison test to determine whether 8 k=1 2k 4k + 5 converges.

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Q: The area enclosed by one petal of the polar curve r = cos20 is False 718 True O

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Q: Q21 Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: we need to tell whether given statements are true or not

Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: 1. Determine the domain of the real function f. 2+x a. f(x) = log b. f(x) = √2+x-x² c. f(x) = cos d.…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Choose the angle (in radian) between the following two vectors u = and U = - O 2.059 00 O None of…

A: We know that the angle between two vectors u and v is θ = cos-1 u·vuv

Q: Let a be a real number. Evaluate the following integral: y+1 So fix + y dxdy y-1

A: ∫0a∫y-1y+1 x+ydxdy this is given  we have to find double integration  here first we have to…

Q: (D) sec(a) die (E) sec(z) tan(z) da

A: You want only the sub part d and e to be solved.

Q: The equations of three lines are given below. Line 1: 6x+4y=-8 Line 2: y = x-3 Line 3: 3y = 2x+4 For…

A: The given lines are:Line 1: 6x+4y=-8Line 2: y=23x-3Line 3: 3y=2x+4

Q: Let a be a real number. Evaluate the following integral: Sofyx+y dady

A: ∫0a∫y-1y+1 x+ydxdy solve this double integration by first apply x integration and after with respect…

Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: Suppose directional derivatives of the scalar function f(P), at a point P = (x, y), in the…

A:

Q: so (x − 2)(3x − 4)dx

A: Multiply (x-2) and (3x-4)

Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: What does the following equation represent in R3 -7x + 5y = 0 O Line O None of the others O Plane O…

A: What does the following equation represent in R3   -7x+5y =0

Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

A:

Q: 0 = ^pz(Az + x) xpxx

A: Let's solve given diffrential equation.

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Find the total area of the shaded regions enclosed by y = 3x³x² -x² - 9x and y = -x² + 3x. 8+ Q The…

A: Area bounded by two curve  f(x)  and  g(x)  from a to b Area =∫abf(x)-g(x) dx

Q: mx + + 1) (x+1)^ then value of m +n is (where n is a prime number) X-2 dx equals ex + C

A:

Q: find the divergence of F. I Y F(x, y) = -√2²17³1 + √z²+z³³ +y O div F = 2(x+y+z) O div F= 1 1²+y²

A:

Q: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Basic partial derivation is used.

Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

A: We check the given statements are True or False.

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 6 O 2 8 O 4 O None of them O

A:

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to i + j a cannot be determined O a is…

A: Find out the correct option.

Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

A:

Q: e ra

A: topic:- application of derivatives

Q: Find the area of the region that is bounded above by the curve f(x) = (x + 2)² and the line g(x) = 4…

A: NOTE: Refresh your page if you can't see any equations. . here we have first, we need to find the…

Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: (m) X + x + 1 dx Oseparable exact Olinear in x Olinear in y homogeneous Bernoulli in x Bernoulli in…

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: The Maclaurin series of the function f(x) = 8x² sin(6x) can be written as f(x) = Σ₂² n=0 where a few…

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Q: The directional derivative of f(x, y) = xe + cosxy at P,(2,0) in the direction of the vector 3i - 4j…

A:

Q: Given the conic section = Intercept(s): Focus (foci): 1 5+7 sin(0)' find the x and y intercept(s)…

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Q: The graph off-1 is given below. Graph the tangent line to f-1 at the point P(1, 1) for f(x) = -x³ +…

A:

Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: As we know that; The expression for the area of the surface revolution of y=fx about the x-axis on…

Q: solve 2x+1 = x2

A:

Q: Choose the angle (in radian) between the follow u = and O 3.142 O 1.047 Од None of the others O…

A:

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is y O X O None of…

A:

Q: Consider the following function. f(x)=√x-1, (17,4) (a) Find an equation of the tangent line to the…

A: Here we have to find the equation of tangent line.