Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. 3n + 5 n-1 dx = 3x + 5 converges O diverges

Q: Find by implicit dlitferentiathin; That the tangent to the eclipse x =1 at point (torY%) is LoX + Yo…

A: The slope of the curve at any point (x0, y0) is : m = f'(x0, y0)     The equation of a line in slope…

Q: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

Q: Write the complex number in standard form. V-54

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Q: Find the gradient of the function at the given point. g(x, y) = 3xe/x, (10, 0) Vg(10, 0) = 3i + 3i

A: g(x, y)= 3 x eyx∇g(x, y) =∂g∂x, ∂g∂y∂g∂x=3eyx+3x eyx-yx2      =3eyx 1-yx∂g∂x=3eyx (x-yx)∂g∂y=3x1x…

Q: For the function f(x) = 3+x find f"(x). Then find f"(0) and f"(3). f"(X) = Select the correct choice…

A: This question is based on second derivative of given function.

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 3n + 4 n= 1…

A: We will solve problems by comparison test.

Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: Let y be given implicitly as a differentiable function coey + e-2 -0 then the slope of the tangent…

A: Solution is given below...

Q: Evaluate the indefinite integral as a power series. What is the radius of convergence? d.x 1+ x5 13.

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Q: Use the graph mate the open intervais on whichn the function is increasing or decreasing. Tnen find…

A: Consider the function  y=-x+22

Q: _4. Which of the following is not a separable differential equation? dy dy y = 0 dxy = e* A. 2 А. =…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (1 point) Consider the sequence In(1/n) an V2n Write the first five terms of a and find lim If the…

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Q: Problem #10: Consider the following function. g(x, y) = e5x² – 5y² + 10/7 x %3D (a) Find the…

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Q: Classify and Solve dy cos x +y sinx = cosx dx

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Q: Use the Comparison Test to determine whether the series is convergent or divergent. L n4/5 n- 2 1…

A: P-Test: The series ∑n=1∞1np converges iff p>1 and diverges iff p≤1 Comparison Test: Let ∑n=1∞un ,…

Q: BELOW WRITE IT PLEASE ON A PAPER! Use the provided rectangular and polar graphs for sketching Sketch…

A: Find your answer below

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

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Q: 5: Evaluate dw/ dt at the given value of t, by using the Chain Rule and by expressing w in terms of…

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Q: Y = Vx + 30 y = x Y y = 0

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Q: 5. The equation r = 2 sin(0) in cylindrical coordinates describes a surface. Convert this equation…

A: Use relation ship between cartesian coordinate and cylindrical coordinates .

Q: Find the exact length of the curve y = In (sec x) from x = 0 to x =

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Q: Match the indicated conditions with one of the graphs (A)-(D) shown below. 13. f'(x) >0 and f'"(x) >…

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Q: Find the volume of the solid generated byrevolving the specified region about the given line. R…

A: Let's find.

Q: Consider the following function. H(x, y) = 7 In(3x²+y³) %3D (a) Find fr(2,3). (b) Find fyy(2,3). (c)…

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Q: Solve xy = 3y – 5x, y(1) = -5. (a) Identify the integrating factor, a(x). a(x) = (b) Find the…

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Q: An animal population N(t) is modeled by the differential equation = 0.00005N (N – 200).If N(0)=A,…

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Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: Suppose y(t) = 4e-5t is a solution of the initial value problem y' + ky = 0, y(0) = yo. What are the…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph off…

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Q: -1 Given f (x) = tan (2x), find f'(x) in simplest form. Answer: Submit Answer

A: f(x)=tan-12x

Q: Calculate the definite integral. 10 8. dx X. 2.

A: We can solve this as follows:

Q: Calculate the definite integral. 1 | 3 Vx dx

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Q: Find functions f (x) and g(x) (either graph or explicit formula) that satisfy both of the following…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Consider the the curve y =(6x + 5)V6x + 5 from x =5 to x 11 a) Find the initial and terminal points:…

A: Consider the curve y=6x+56x+5 from x=5 to x=11.a To find the initial and terminal points.b To find…

Q: dy = ya dx

A: Given the Bernoulli's differential equation is dydx - yx = y9

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: First we will find the equation for revenue.

Q: 5/3 1x² /100 – x² – y² + 10 75 - Let J= z dz dy dx - 5/3 13 (x? +y?) (i) Express the integral J in…

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Q: 9xdx 1 9xdx D=

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

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Q: | |x| +1, x 0 (If) f(x) = {0, For what value of a, does lim f(x) exists. x -> a

A: The given function,       fx=x+1,x&lt;00,x=0x-1,x&gt;0

Q: write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: 11. What is the best method is solvingſ sec'x dx? A) Integration by parts B) Reciprocal substitution…

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Q: Find det A using the method of cofactors and the sign matrix. 2 2 6 A = 0-8 6 - 2 0 1 det A =…

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Q: Consider the following function. H(x, y) = 10 ln(x2 + 3y3) a) Find fxx(2, 3). b) Find fyy(2, 3).…

A: H(x,y) = 10 ln (x2+3y3)a)fx (x,y)=10x2+3y32x+0 =20xx2+3y3differentiate partially w.r.t x…

Q: tan x e sec x dx

A: Given,  ∫0π4etan x sec2 x dx

Q: Let y be given implicitly as a differentiable function cosy + e -2 -0 then the slope of the tangent…

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Q: Determine if B is the inverse matrix of A. 1 01 - 2 1 1 A = 2 1 3 В - - 5 2 - 1 -1 1 1 3 - 1 1 Is B…

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Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

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