What is the slope of the tangent line to the curve y = T I 7 O-2 02 0 - 17/12 01/1/01 O none of the choices. O at point (14, 2)?

Q: V. The velocity function of a particle moving along a horizontal line is given by v(t) = t² − 6t +…

A: Velocity

Q: Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y =…

A: Solution given below

Q: 1. Solve the differential equation of order one. Show your solutions. y' = x - 2y STEPS: a. Put…

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Q: Solve

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Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

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Q: II. 3 4. 5- 10² - 0 + (0² + 0) dx S le* -e (e* e) e 0 Evaluate the followin

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Q: F/3 I ㅠ sec³ x tan x √2 + sec x dx

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Q: Be w = (u2 + v2)3/2, where u = e-t sin(θ), v = e-t cos(θ), calculate: ∂w/∂t and ∂w/∂θ

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Q: (x - 1)ex (x + 1)³ -dx

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Q: Determine the values of r for which the differential equation ty"-5ty' + 5y = 0 has solutions of the…

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Q: Find the area of the region bounded by the curves y = the x-axis using vertical strip. (x+1)2 y = 4…

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Q: Answer

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Q: Evaluate the following limit, if it exists: lim x->7 = √x + 2 - 3 / x-7 (The square root covers…

A: In this question, we will evaluate the given limit expression.

Q: 1-2 -2(-2x +9)³ dx u = -2x + 9

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Q: Let R be the region below bounded by the graphs of C₁: x² + y² = 16, C₂: y = 4 − (x + 2)², and C3: y…

A: If you have any doubt feel free to ask.

Q: PLEASE SHOW COMPLETE SOLUTION.   Find the area bounded by the curve x = y^2 + 2y and the line x =…

A: Area under curve

Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + ²) + y = t…

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Q: Find the area bounded by y = 2 - x² and y=x a. 9/2 b. 7/2 C. 5/2 d. 3/2 e. NONE OF THE ABOVE

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Q: X(jw) = 8.8cos (3w) sin(0.5w)

A: Given function is:X(j,w)=8.8cos(3w)sin(0.5w)we have to find the value of X(3,5).value of…

Q: - Let v and w be vectors such that |v| = 2, ww = 36 and the angle between v and w is T/3. Calculate…

A: This question can be solved using the concept of vectors.

Q: In spherical coordinates, the integral •√√4-x²-y² IMM x² /4-22 None of these. 2π *π/2 2 S √²* [*¹²*…

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Q: Determine the instantaneous rate of change of the function f(x) = [x² si sin (2¹) 1+√t x3 At x=1 dt

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Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

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Q: Two passenger airplanes left the same terminal at the same time. One plane flew due north at an…

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Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area x) = √25-1² dt.…

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Q: A manufacturing company is responsible for designing a can for diced tomatoes which will have a…

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Q: 3 foa 0 (|3x − 1| + |3* – 3|) dx

A: Use integral concept

Q: [x xf (x²) dx Which integral is equivalent to the one shown: Oa) f f(u) du √uf (u) O b) S 2 O c) […

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Q: Be u = x2 + yz, where x = rsin(t), y = rcos(t) and z = rsin2(t), calculate: ∂u/∂r and ∂u/∂t

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Q: Evaluate the expression under the given conditions. sin(0 + p); sin 0 = ₁ 0 in Quadrant I, cos p = -…

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Q: 2. (9y-2 +6y-4-y-5+1) dy 3. √ (12x²-x²+x²) dx

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Q: Given two functions F and G, we say that F is an antiderivative of G when O F'(x) = G(x) for all a…

A: Above two questions are answered.

Q: 4. Evaluate the double integral: So p 1/3 27 +1 (Hint: Change the order of integration to dy dx.) dx…

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Q: 6. S t √1+2t dt

A: The given integral,    ∫t1+2t4dt

Q: (x + tan y) dy = sin 2y dx

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Q: Solve the differential equation of order one.  (3x − 1)y′ = 6y − 10(3x − 1)1/3

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Q: Find the general and the particular solution: d²u du = 4(1 + 3v)²; u = -1,and = -2 when v = -1 dv²…

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Q: lim (sech 2x)csch x x² +0+*

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Q: v (2uv²-3) du + (3u²v² − 3 + 4v)dv = 0 Ov(u²v² +3u + 2v) = c Ov(u²v² - 3u- 2v) = c Ov(u²v² - 3u+ 2v)…

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Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

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Q: Determine the equation for the line with normal vector n = [3,-4] passing through the point P(-1,-2)

A: Given.

Q: 4. x-1 x² + 5x+8 Ja da

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Q: Q2. (a) Write down the function corresponding to the graph given below. Is the function even or odd…

A: Concept: Fourier series: The enlargement of a periodic feature f(x) in phrases of a limitless sum of…

Q: For each part below, write an inequality to represent the given statement. Then graph the inequality…

A: We can answer the answer as below.

Q: mydx = nxdy

A: answer is in next step . please give a like !!!

Q: tf(x) = e2sinx. Use the local linear approximation of f at x = 0 to approximate e 2sin (0.01)

A: linear approximation

Q: x 1 4. 1 / ₁²+52²+8² dx x² + 5x + 8

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Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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Q: 3. Determine if the assigned improper integral is convergent or divergent. Lever e²+1 dr

A: Given problem:-

Q: Why is it =10πr33? particularly, why is the value 33?

A: Let's solve.