What is the length of a simple pendulum whose full swing from left to right and then back again takes 2.4 s? Number i Units

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (4, 5) a = 3 b = 1

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Q: The sum of two numbers is 12. if one number is x, what is the value of x such that the product of…

A: Here, let the two numbers be: x & y Then, x+y=12⇒y=12-x Now, the product of the two numbers be:…

Q: Evaluate the following integral using trigonometric substitution. хах Vx2– x – 1 а.

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Q: S(7(3y +2)(4y + 3y²)³ + sin(3 + 8y))dy

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: The total curvature of the graph y = f(x) between a = a and a = b. %3D The average rate of change of…

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

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Q: 14. Which of the situations below could – 100(+7)? A plane, currently flying at an alti A plane,…

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Q: +t, 2t +t, 6t} O sis a basis of P O sis not a basis of P3.

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Q: Adx + (x-y+2)²dy = 0 %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the directional derivative of f(x, y, z) = at P(4,5, –3) x + z _n the direction from P to Q(3,…

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Q: 17 + sin w sin(1+ cos w)) dw 7-2w

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Q: Find an equation of the plane that passes through the point P(5, 6, 2) and has the vector n = (1,7,…

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Q: X1 – 4x, + X3 = 2 4x1 + X2 =1 Xz + 4x3 =-1

A: Since the question is asked to solve by two different method solution by one of the method is given…

Q: Find the total of the areas under the standard normal curve to the left of z1=−2.575and to the right…

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Q: Differentiate the following using logarithmic differentiation. 1. у%3D (x+6)(x+8)8 (r+3)3(r+5)s

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. u - 2 du

A: answer is in next step

Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: what is the letter of correct answer

A: Apologies for the inconvenience. Here is the correct solution.   The given integral…

Q: it. notation and fractions where needed.)

A: We have to find the value of the given limit according to the rule of limit

Q: Let the region R be the area enclosed by the function f(x) = x², the a-axis and the 2. Find the…

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Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show your…

A: This question can be solved using the concept of volume of the solid generated by revolving the…

Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: S sin x In(cos x) dx

A: Given problem:- ∫ sin(x) ln(cos(x) dx

Q: (x + y)dx + (x – y) dy = 0 %3D

A: A detailed solution is given below

Q: y" + 25y = 0, y(0) = 4.6, y'(0) = -1.2 %3D %3D %3D

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Q: The function f(x) = x + eª has one real zero x0. In which of the following intervals must xo lie? А.…

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Q: Find the solutions graphically. 2x- 3x2 - 23x+ 12=0 ... The solutions are| (Type an integer or a…

A: The given equation,      2x3-3x2-23x+12=0 Note:    Multiple questions are given, we are answer with…

Q: Instructions: (I) Use Limit Laws to find the limit of each given problem. (II) You may only use…

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Q: Find the average value of the function over the given interval. (Round your answer to four decimal…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z² (2,…

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Q: (0³+ 38+ 3D+ 1)y-8sinx ylo): -/ y'l0)= 3 y"16)=5 5-

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Q: Let a = ci +j and b = 9i + 12j. Find c so that the angle between a and b is Round your answers to…

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Q: y 20 y=g(x) 10 20 35 Evaluate each integral by interpreting it in terms of areas. 10 (a) g(x) dx 30…

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Q: whetr he se linea bendent or linea dependent. S - {(-5, -3, 6), (2, -3, 1), (9, 0, 0)} O linearly…

A: To solve the following problem

Q: (a) f(x) dx 10 15 (b) f(x) dx

A: Here we have to find the given integral using the area under the graph

Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: Write TRUE if the statement is true, otherwise, write FALSE. 4. Suppose P and Q are both…

A: We have to find statement is true or false. In mathematical logic, a tautology is a formula or…

Q: Find the particular solution of the differential equation with the initial condition given below.…

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Q: . fx'Sin(x* \dx

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: х(4+sin 6x) 3. lim X→+0 х+1

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Q: EVALUATION Matching Type: Match the functions in Column A with their corresponding derivatives n…

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Q: Use the Left Endpoint approximation method to approximate the area under the graph of the function…

A: This is a problem related to reimann left hand sum calculation. Based on the general formula we will…

Q: [p'(8+3p*)®dp

A: Given: I=∫p78+3p48dp  ...1   The Power rule: ∫xndx=xn+1n+1+C

Q: Find parametric equations of the line through (-3,1,1) that is parallel to 2i – 5j+k. -

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i+ 4j. NOTE: Enter the exact…

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Q: Vcos² x*(x-1)³ (x+Vx)² 3. y = 2 Differentiate using Logarithmic Differentiation

A: y=cos2x43x-13x+x2

Q: Match the answers to its antiderivative. Antiderivative Answer A. J kda In(z) + C II. B. ['dr + C…

A: As we know that; The Power rule; ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C…