ㅠ -π sec xdx. 3

Q: The normal vector of x+2y-1-0 (0, 2) (2, -1) (1, 2) O (1, -1)

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Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0 ≤ 0 <…

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Q: -5 -4 -3 -2 -1 E у 6 5 4 3 2 I 1 H - -21 3 -4 -5 -6 1 2 3 4 5 X

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Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²

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Q: 6) Line y=x between x = 0 and x = 1 is rotating around the x - axis. (It forms a cone). Calculate a)…

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Q: 1. A ball is thrown upward from the top of a 12 meter high building at a speed of 25 meter per…

A: Given quadratic equation is H(t) = -17t2 + 25t + 12

Q: For an object in an elliptical orbit around the moon, the points in the orbit that are closest to…

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Q: (i) Solve the following triangle. (You may need a calculator) C A 45° 105° N B

A: As per the guidelines, we must answer only one of the multiple questions given. Therefore, I answer…

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: cos² xy' = (1 + y²)

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We need to find maxima and minima.

Q: 1 lim x cos- #48 X lim 00-00 = lim 20-00 cos (1/x) 1/x [-sin (1/x)] (1/2) -1/x² =lim sin 22-00 = 0 1…

A: Here, to evaluate limx→∞x cos1x

Q: 6. Which of the following expresses (3√32 + √√8 ) in simplest form ? a) 3√40 b) 6√10 c) 3√2 d) 14√2

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Q: onvert the following to rectangular coordinates and spherical coordinates. Do not evalua tegral.…

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Q: Question 3 (1 point) The lines = (-5, 6) + s(-2, 4) and 7 T = (12, 10) + t(-2, 4) s,te Rare parallel…

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Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

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Q: Which of the following is the solution to the differential equation dy = y³ce² that satisfies the…

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Q: (4) (d) 2-7 dx 4x-2 x²-1 (4) (e) S 7x (4x²+5)3 dx

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Q: S By an appropriate trigonometric substitution, S: I 1 √10 sin 0 cos² Ode Cos 0 10 sin 0 -do |…

A: Here we will use Trignometric sunstitution for given integral.

Q: If fa rsin xd a. -6 b 6312 C. 6 d - 3 2 = -x³ cos x + 3x² sin x + k fx x sin xdx, find k

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Q: -5 -4 -3 -2 -1 5 4 3+ 2+ 1+ -2- -3+ -4 -5+ ܐ 2 3 4 5

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Q: Use interval notation to determine f(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find y′ if y = tanh−1(sinh x2).

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Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

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Q: Calculate each of the following given that: a. b. a-b a x (2b - 3c) |b x 3c| C. d. projac a = 2i -…

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Q: + 22/12 =)₁ y x² + y² dx + (ye³ +2²4₁²) dy = 0 =)

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Solve the differential equation (x+3)−¹ cos (y) dx - [sin (y) In |5x + 15|-y-¹] dy = 0 cos (y) dx a.…

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Q: Calculate S√4-x² dx

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Q: ΣΠ n=1 a. 1+4+1 6n 61 5 b. 41 5 is equal to c. The series diverges. d. 66 5

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Q: 4. Solve the following equation by completing the square. Be sure to show all steps. (round answers…

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Q: Evaluate the integral by changing to Spherical Coordinates. √16-3² [√/32-32-42 xy dz dy dx

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Q: Find the area under the curve y=sin2xcosx for the given limits; sketch the area. Hint: integral in a…

A: Topic:- application of integration

Q: Given an, if limn→∞o an = 0 then the series 1 ∞ O diverges O converges O inconclusive O None of the…

A: series

Q: The Maclaurin series of g(x) = sin (x) is

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Q: Simplify. (2u²vw4)² 4(uw³)2

A: In this question, we need to simplify the given expression.

Q: The infinite series Στη O series liner O p-series O geometric series O harmonic series n is a

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Consider the function f(x) = 4x + 4x7 4x³ 8. An antiderivative of f(x) is F(x) = Ax" + Bxm + Cx² +…

A: The given integral is fx=4x9+4x7-4x3-8 Integration formulas: ∫xndx=xn+1n+1+C∫dx=x+C

Q: consider the plane region R bounded by the graphs of y = 3/4(x + 3)2, y = 3/4(x − 3)2, y = 3 and y =…

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Q: 3. Which of the following is TRUE about the parabola for the function f(x) = 2(x + 3)² + 6 a) the…

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Q: dy Solve the separable differential equation = dx - 7y, and find the particular solution satisfying…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5 9…

A: Use formula of area of surface generated about y axis

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: The given sum is ∑i=164i+5

Q: ∞ 1.00 8e- dx = (If the integral diverges to ∞ or -∞, type oo or -oo; if the integral diverges in…

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Q: -10 -5 у 10- 5 -5 -10- 5 E . 10 X

A: We need to write down the type of the function, x and y intercepts and also the vertical and…

Q: Evaluate I ta tanh x ln(cosh x) dx.

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Q: 3.4k Σ Evaluate 7k

A: Given ∑k=3∞3.4k7k

Q: Find all local extreme values of f(x) = - The FIRST local extreme value, moving from left to right…

A: Topic:- application of derivatives

Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (5 cos t,…

A: Given, r(t)=5 cos t, -3t, 5sin t