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Q: (b) S 3X5V1– 2x³dx -

A: Given,             ∫3x51-2x3dx

Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

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Q: S 3x5V1 – 2x³dx

A: Use simple integration formula.

Q: V3/2 1 dx%3D 6). V1- x 1/2

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Q: Evaluate the integral. (Use C for the constant of integration.) cos a da sin a

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Q: The antiderivative of f (x) = Ga“ + 23x – 9 is F (2) = a ln (Jæ + 3|) + b ln (Jæ|) + d In (r - 1) +C…

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Q: = > Σ 5. For all x E R, e* п! Express f (x) = x²e* as a power series. b. Find the third-degree…

A: We have to solve questions based on Series .

Q: A box is designed so that 4 cans of soup fit tightly into the box, as shown below. ABLE VEGETABLE…

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Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

A: LetI=∫xtan-1xdxApply integration by…

Q: 2m – 2 2m ΣΗ т+ 1 т + 21 m=2 Is it divergent or convergent? 8.

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Q: Given: a, = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

A: Given that an =ln(n+1) - ln(n) We have to find whether the sequence ann=1∞  is convergent or not. A…

Q: Look at the picture. The function f at the point x=0: (1) Limit exists (2) Continuous 3)…

A: A function f(x) is said to be continuous at x=0 iff limx->0 f(x)= f(0) A function f(x) is said to…

Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

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Q: Show that the equation has exactly one real root. x° + e* = 0 3

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Q: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

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Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

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Q: I. Evaluate the following integrals. cln 2 e2" sec-'(e*)dx Jo #3.

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Q: Convert dzdydx Into an integral of cylindrical coordinates 45 hardzdrde Option 1 Option 2 Option 3…

A: To convert the given integral into cylindrical coordinates.

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, –4) and the vector component of v…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: xy + y² dx dy Find the general solution of x2 dy Solve 2xy dx x² + y? given that y = 0 at x = 1

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Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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Q: 1. Identify the indeterminate form and evaluate lim (sin x)tanx x-

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Q: 2. Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent.…

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Q: ¥2/3 6. cos'x sin x dx 5.

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Q: 1. A certain object moves in a region of space defined by the following parametric equation: x(t) =…

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Q: +o0 (-1)*n" sin" () Σ 2n n=1

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Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

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Q: f(x) = 2"[In(cot(x³))]5

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Q: I 3n O The region bounded by y = sin x and x- axis on the interval [-

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Q: The antiderivative of [Vx-25 dx is V x2 - 25 - sec-x+ C. A True B False

A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: B.) Function; x- 2x - 15 3.) f(X); f(5) = 4.) f(t) = f(3000) = 3000 X- 5

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Q: Suppose f(x) is a function that satisfies the following conditions: f(15) = 20, f' (15) = 2. Also…

A: Using definition of derivative.

Q: Q3) Evaluate triple integral SN S dz dx dy . x-y

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i+4 sin(t)j+ tk;…

A: Answer in the box are correct

Q: Given: y (3) - 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State the…

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Q: 6x – 8x² – 5 · dr (2r – 1)(4r² + 1) (c)

A: Student has specifically asked for the solution to the Question(C). Hence that problem is answered…

Q: п(х-2)" Consider the power series 3" (2п-1)3 n=1 Show that the power series converges when x = 5.…

A: the given series is n(x-2)n/[3n(2n-1)3].

Q: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

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Q: ********** . ...... Analyze and sketch a graph of the function. Find any intercepts, relative…

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Q: +00 (4-х)^/п+5 4. Consider the power series 9n-7n n=1 а. Use Limit Comparison Test to show that the…

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Q: Q. 1) The table below gives the readings from a laboratory experiment. Time (t) |3 5 6 Reading (y) |…

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Q: Q: Evaluate the following integrals: (10 dt, 10x dt 1. 5t re dx 2. J0 x(Inx)?

A: Question 1,Given,           ∫510dtt+∫5x10xdtt

Q: VIII. Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2…

A: By using the 3rd Degree Maclaurin  polynomial for gx=x cosx2 to approximate the value of 0.2 cos0.1.

Q: Here is the given, ∞ (x-2) n=1 Vn2+ 9 (9.) Show that the series conveges conditionally when x= 1.…

A: The given series is: ∑n=1∞(x-2)n9n2+9=∑n=1∞(x-2)n3n2+1...(1)

Q: Please

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Q: Let f(x)=2x2-12x+8. Function f(x) has one minimum point at.. Diketahui f(x)=2x²-12x+8. Fungsi f(x)…

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Q: 4) V9-z zt2-6

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Q: Q2) Solve the D.E xdy + (2y – xª + 3x)dx = 0

A: This is a problem related to differential equation. Based on the general formula we will answer the…