1. tan 2x dx

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

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Q: Evaluate the integral cos x 1- sin z dx .

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Q: x2+2x+17 If f (x) = then f continuous on the intervals... x²-1 (-0, –1); (–1,1); (1, 0) (-0, –1);…

A: Let's find.

Q: 3/2 Find the exact area of the surface obtained by rotating the curve x = ÷(y² +2)"¨,1<y<2 about the…

A: I have appended the formula used in the solution part.

Q: Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2 cos(0.1).…

A: We have to find 3rd degree polynomial for the given function.

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

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Q: LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 1. (9Dª + 6D³ + D²)y = 0 2. (4Dª – 45D² – 70D – 24)y = 0

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Q: 1Evaluate the ff. integrals using either integration by pants, trigonometric integrals , trig on o…

A: As per guidelines of bartleby, we are instructed to solve only first 3 subparts of a problem.

Q: y = (cos COS T 4x5

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Q: Consider the function f(x) 5x + 1 (a) Find the Maclaurin series of the function f(x), stating your…

A: Let's find.

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-&gt;0 f(x)= f(0) A function f(x) is said to…

Q: 4 xp£

A: We have to find the integral.

Q: m m 2m + 1. m=1 т m 2m + 1 m=1 Do the following converge or diverge?

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Q: x² dx J (² – 25)5/2

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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: 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: ralue of (2) for z= 2.36. (note: use 2 decimal places)

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Q: п(х — 2)" 3" (2n – 1)3* VI. Consider the power series n=1 a. Show that the power series converges…

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Q: Use the properties of logarithms to expand the following expression. xy log Each logarithm should…

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Q: Given: (-3)"(х — 2)" Vn + 2 n=0 Determine the radius and interval of convergence of the power…

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Q: 7. Find the area of the region that lies inside the curve r = 3cos0 and outside r = 1+ cos0. Show…

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Q: (-1)" (2n+1)! Given: sin x = En=0 x2n+1 for x e R 100 What is the exact value of the sum 2n=0…

A: The series given is: sin x=∑n=0∞(-1)nx2n+1(2n+1)!, x∈ℝ...(1) To find the exact value of the series…

Q: do 3 (6eº + 1)3

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Q: Show that the lines L1 : x = 4 – t, y = 2t, z = :5+t and L2 : x = 1 + 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: find dy/dx. y= (cosx-pix)^(4x)^5

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Q: Calculate the derivative of the function xe" at the point x = 0 %3D O 1 e O 2e

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Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: has side lengths 8, 15, and 17 as shown below. hs to find cos B, tan B, and sin B. A 15 17 C AB 8.

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Q: If f (x) = |x-1| then lim f(x), lim f(x) and lim f(x) are... respectively x-1 x→1- x→1+ x→1 |x-1|…

A: Let's find.

Q: Using homogenous differential equation determine the particular solution of xy?dy - (x³ + y³)dx = 0…

A: differential equation

Q: Given the series, is it convergent or divergent? (5-4(In n))" %3D2 3n (V5-In n)"

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Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

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Q: 1 dx (e2r – 4)5/2

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Q: Determine whether the following series converges or diverges. If the series converges, determine the…

A: 1)∑n=1∞ cos2πnan=cos2πnApplying series divergence test;limn→∞ cos2πnlimn→∞ cos2π∞=cos2(0)=1limn→∞=1…

Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: Find the distance between the parallel planes – 2x + y + z = 0 and Edit 10x – 5y – 5z – 26 = 0. -

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Q: 3. 6x° cos (x*) dx

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Q: Solve the following equation: 16ª = 8ª+1 O 3 O-3 O 1

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Q: Which formula shows the basic concept of substitution method on integral Manakah yang merupakan…

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Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

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

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Q: 570 8. The demand function of an electronics company's car stereo is p(x) Find the 2х +7 consumer…

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Q: 0 e1/x dx

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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: I. Evaluate the following integrals. 1 1. d.x ¤(9 – In² x)5/2'

A: Given problem:-

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

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Q: S dy =2/y- 5inlVỹ+ 5| + c Vy +5 A True B) False

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

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: . Find the sum of the following convergent series. Σ 00 3n+1 a. 6n-1 n=0

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Q: Let k be a positive real number. Then f(x) = Vk2 -- x2 is continuous on the interval: . (-k, k) b.…

A: To determine the interval in which the function is continuous.