th Use the ri"-term test to find wether the fottowing Sexies exe divergent or not- n+2

Q: dx Evaluate: x/9x² + 4

A: LetI=∫dxx9x2+4I=∫dxx(3x)2+22Put 3x=2tany  ⇒y=tan-1(3x2)differentiate…

Q: Solve the initial value problem. Determine the interval in which the unique solution of the initial…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 - -x + 3y + z = 7 Find the normal vector,…

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Q: -ges 3n +n 9n b) L7-2)n+1n n! n=1 (-10)" d) 242n+1(n+1) n2 (2n – 1)! n=1 0=

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Q: Determine the area of the largest rectangle that can be inscribed in a circle of radius 5, as…

A: We have to find area of largest rectangle that can be inscribed in a circle of Radius 5 unit.

Q: S(4x3 + 9x² + 4x – 1)dx -

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Q: x° cos (3x) dx X COS

A: Integral by parts:∫ uv dx =u∫ vdx -∫(dudx∫vdx) dxI=∫ x6 cos(3x) dxu=x6, dudx=6x5v=cos(3x), ∫ vdx…

Q: Find the exact real solutions of the following equations. (a) (2 + 1)(3" + 1) = 6" – 4 (b) 3+1 = 52…

A: Let's find.

Q: Find the center of mass of a plate with constant density d formed over the region bounded by y 16 –…

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Q: A region bounded by f(x) = x°, y 8, and x = 0 is shown below. Find the volume of the solid formed by…

A: I am attaching image so that you understand each and every step.

Q: Use the Ratio Test to determine the radius of convergence of Σ n=1 Vn - 11" x" Then determine…

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Q: 1. a) A pond initially contains 500, 000 gallons of unpolluted water has an outlet that release 10,…

A: Let x(t) be the amount of pollutant in grams in the pond after d days Here we use a formula; Total…

Q: AP Calculus AB - Worksheet 26 Derivatives of Trigonometric Functions Know the following Theorems =…

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Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(3​,4​).   8x2−y3−8=0

A: The given equation is 8x2-y3-8=0. Obtain the derivative y' using implicit differentiation as…

Q: 2n Determine whether the series converges or diverges. Ln=1 n2 +n

A: The given series is ∑n=1∞2nn2+n.   Rewrite the given series as follows. ∑n=1∞2nn2+n=2∑n=1∞nn2+n…

Q: Find an equation of the tangent plane at the given point: F(r,s)= 2r3(1/s0.5) - 2(1/s4), (2,1)

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Q: xcos-1(x) If x =0.77 and y = 0.86, then value of C in the antiderivative of F(x) = is (use radian…

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Q: MY NOTES ASK ..... . Find the area of the parallelogram that has the given vectors as adjacent…

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Q: 2x find fz" a x dx

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: y" + y = cos x x - sin x

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Q: Which of the following is true? (A All for the above ® Stan (x)sec®(x)dx = tan (x), tan?(x) ,…

A: We have to evaluate the following integrals.

Q: Match each linear equation with its graph РК B Equation Graph Color y = 5x + 4 a. red (R) 2 b. green…

A: Let us consider a line, ax+by=c  Then the intercept form of this line is given by, x/(c/a) + y/(c/b)…

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

A: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

Q: 1) Find the derivatives of the following. Simplify your final answers. e) y = Vx*

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x +…

A: Mean Value Theorem: If f is a continuous function on [a,b] and differentiable on (a,b). Then there…

Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)= sinx- cosx-tan x tan x

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Q)find the inverse Laplace transform -2P (P+1)* 2. (2) 2. (P²-1)2

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Q: Showw Fom yex)=D90Y,(x) + a, y,(x) that seris sol utron is of the hene y,cx) contains only even…

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Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation in slope intercept form is given by:y=mx+cwhere m=slope, c=y-intercept

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: Evaleuate use integration by-lacts.

A: ∫x2e-3xdxUsing integration by parts

Q: Q-2: [1 2 1] a) Let E = |0 1 3. Find all values of r for which E has inverse. Find, if 1 0 rl…

A: As per as our guidelines i am supposed to answer only one question please repost remaining question…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 – x - In(x) - X (a)…

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Q: 3. y = x2 + 5x and y = 3 – x -

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Q: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

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Q: Evaluate the indefinite integral as a power series. t dt 1 - 7 C + n = 0 What is the radius of…

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Q: Suppose that f and h are integrable and that: i fx) = -1, f(x) dx = 5, h (x) dx = 4 ,Find: a. S–2…

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Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: ai (9x" –10) where "a" is equal to The antiderivative of f (a) = 4V - is F (x) = 30 (A B None of the…

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Q: Determine whether the following equation represents exponential growth or exponential decay.…

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Q: 7. The following is Enrico's solution when finding the derivative of f(x) = sin (cos? x)). He has…

A: The given function,   fx=sincos2x

Q: Consider the following. u = (5, 7), v = (4, 2) (a) Find the projection of u onto v. (b) Find the…

A: Given u=5,7, v=4,2

Q: what are 7 and 8 in standard hyperbola equation? 7) The foci are (-8, 2) and (2, 2). Vertex at (1,…

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Q: y = -2x + 8 only 5 points on the graph KAe CEN OSSN CONTY CONCOT FOLLTS 14 CHLDREN 2 123 45 6 7 8 9…

A: Discrete domain : where there is difference between domain elements. Continuous domain: where…

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = j + 3k v = i - 8j – k O parallel…

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Q: Which of the following is true? ® Ssin(3x)cos(4x)ax =S sih(7x)= sin(x) A 2 ® Jsin(4x)cos(3x)ax = […

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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