Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i + 6 sin(t)j, t = कालै

Q: iv) Find the area of the shaded region under the curve y = between the values 4 and 2 on the x axis…

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Q: 17. f(x) x²(2x+3) (x² +1)*

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Q: à + 2b

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Q: 1. Line L passes through point P(-2,5, 7) and having [4,-3, 2] as set of direction numbers. Find the…

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Q: The area of a healing wound is given by A = ². The radius is decreasing at the rate of 3 millimeter…

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Q: ) Use the Integral Test to determine whether the infinite series is convergent.   ∞ 7n (n2 + 1)3/5…

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Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) e²-1 X…

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Q: Given the demand function q = 398-3p, calculate the elasticity of demand when p = 79. OA. 2.7 OB.…

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Q: Find a power series and the radius of convergence for the function: W n=0 n=0 n=0 3xn 8n 3xn 8n 3xn…

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Q: 1 17. If the function x² - 4 constants A and B respectively are: is resolved into partial fractions…

A: As per the guidelines, we are supposed answer only one question at once. Kindly repost the other…

Q: Use the given conditions to determine which graph below is a possible graph of the function f(x).…

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Q: The largest value (i.e., the absolute maximum) of the function f(x)=e² . What is the value of a ?…

A: We have to find out the value of a.

Q: A system of equations is made up of an ellipse and a hyperbola. Part A: Create the equation of an…

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Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

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Q: Solve the following equation. Express your answer in the form found using Euler's Formula, Iz|" eine…

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Q: Find the interval of convergence of the following power series. (x + 10) n η 8η 01-00,00) O(-18, -2]…

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Q: Evaluate the limit or explain why it does not exist t t- 2-0 √4+t-√4-t x³+1 lim X-1 X+1 Ix-21 lim…

A: Given that some limit problem and we solve this given problem by using general property of limit.…

Q: 1 17. If the function x² - 4 constants A and B respectively are: 1 1 4 A. A: = B. A = 1 4 B B 1 4 is…

A: Use partial decomposition

Q: Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The…

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Q: Find the time necessary for $1800 to double if it is invested at a rate of r = 8.5% compounded…

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Q: For what values of x in [0, 27] does the graph of f(x) = x + 2 sin æ have a horizontal tangent line?…

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Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

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Q: 6. Which of the following differential equations is consistent with the following slope field? O O…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: Find the following for the given equation. r(t) = (e-t, 3t², 4 tan(t)) (a) r(t) = (b) r(t) = (c)…

A: Topic = Derivative

Q: Question 5 How many vectors can represent a line given by vecto (-3, -5, 1) + (7,2,3)

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

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Q: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: -18 and line B is with equation A. Two lines are parallel. Line A is with equation 6y= 2x 3y-6-x.…

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Q: The logistic equation models the growth of a population. 1350 1 +26e-0.95t P(t) = Exercise (a) Use…

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Q: H.w 2: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a…

A: Let's find speed at t=0.8 sec by Runge kutaa 4th order method.

Q: 5. prove that d (-x) (+ x) = X dx dx d² dx² - x² +1

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Q: The amount of pollution in a lake x years after the closing of a chemical plant is P(x) = 400/x tons…

A: Topic - Average value of function over interval

Q: Refer to the model Q (t) = Qe -0.000121 used for radiocarbon dating. At an archeological site,…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1. (²4. -9CK) lim + sin(4t)…

A: Given, limt→ 0e7ti+sin4t4tj+e-9tk

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

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Q: 18. Solve (x+1)dx x²(x-1) A. 2lnx+In(x-1)+c B. 2ln(x-1)-Inx-x-¹+c C. x-¹-2lnx+2ln(x-1)+c D.…

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Q: Find the Maclaurin series for the following function: f(x) = x cos(5æ) 18 8 8 8 n=0 n=0 n=0 n=0…

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Q: whether the series is convergent or divergent. 33-50 Determine If it is convergent, find its sum. 1…

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Q: What symmetry is present in the strip shown above? none of the choices O 180-degree rotation O…

A: The solution is given below

Q: (a) If f(y) = (y² + 8)³ Y 3 find f'(y).

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Q: Find the area under the curve y = lines x = 1 and x = 5. 3x² + 4x + 1 bounded by the x-axis and the

A: Area under the curve y=3x2+4x+1 bounded by x-axis and x=1 to x=5.

Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

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Q: Convert the integral into spherical coordinates. Int[-3,3]  Int[0,sqrt(9-x^2)]…

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

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Q: Find the volume of the solid generated by revolving the following region about the given axis. The…

A: Please see the below picture for detailed solution.

Q: A store's sales on day x are given by the function S(x) below. Find the average sales during the…

A: We have to find the average value

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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