The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

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Q: Scotch is looking to make a larger size roll of duct tape. The current roll is shown in the photo.…

A: First finding the volume of original roll

Q: T Use Wallis' formula: sinº (1) cos² (1) dx

A: Follow the procedure given below.

Q: y² = x and y² = 2 − x

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Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: 1) How many 5 digit numbers can be made using the digits 5, 6, 1, 4, 9, 3, 2 if no digits can be…

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

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Q: Evaluate the integral. (Use C for the constant of integration.) [5√16. 5√ 16 + ex dx

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Q: Q2: Evaluate the following integrate: 2- S(2 + 5x) es dx

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Q: (a) √738(t - 4)dt (b) 738(t + 2)dt (c) √²38(t+4)dt (d) f²3x²8(t-4)dt (e) ¹3x²8 (t+2)dt -3 (f) ²3x²8…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: Q2: test if (AB)¹ = B¹A¹ A = 4 1 4 -3 61-63 0 2 B = 0 2 L3 5.

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Q: A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft…

A: Let's find total work(W).

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Distance of satellite from station A and height of the satellite above the ground is

Q: Evaluate the integral. Do not use hyperbolic functions as the final answer. 1 -dx 2 √√3x²-4

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Q: Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 8, which V makes with the positive…

A: We have to find the vector and angle.

Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

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Q: The partial fraction decomposition of f(x) g(x) + where 3 (x + 3) (x² - 4x + 4) f(x) = g(x) = -3x² -…

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Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: A given partial fraction B can be evaluated as: A) 7/35 B) 8/85 6/23 D) 13/85 2x (x-1)(x+4) (x²+1) A…

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Q: 4. Find the exact length of the curve. π x = 5 cos³ 0, y = 5 sin³ 0, 0≤0≤- 2 Write Answer In…

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Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: Annual high temperatures in a certain location have been tracked for several years. Let X represent…

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Q: (D² + 3D + 2)y= sin ex

A: The given differential equation is  (D2+3D+2)y=sinex

Q: dw Q11- express by using the chain rule: w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: The objective is to find the derivative using chain rule.

Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =…

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Q: the appropriate integral to be used to find the volume of the solid generated? 8 7 6 5 4 3 2 1 -1 O…

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Q: cln x e L L ² L the we Evaluate yez dz dx dy.

A: Given problem:-

Q: Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5…

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Find the integrals of the given in the picture

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Q: A = 15-6 14 53 2, b= 22 12 9 -6

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Q: A biochemist is testing the effect of a new antibiotic on a particular mould growing in a petri…

A: We need to find time and rate of area increase. As per Bartleby's guidelines we can only solve 3…

Q: dy 3. dx + y = 2xy² ex

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Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: 3. 4. If =(-12, 4, 8) the position vector of u is.............

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Q: Choose the correct answer

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Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

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Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: A man that is 5 feet tall is walking in a straight line at a rate of 3 ft / s towards a lamp post…

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Q: 14 Find the slope of the function ƒ(x) = -x - 1, by the definition of a limit. Slope =

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: We need to choose correct option.

Q: In the quadratic equation Ax² +BX+C =0, describe the roots when B²-4AC is zero. A The roots are…

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Q: A 60-m climbing rope is hanging over the side of a tall cliff. How much work is performed in pulling…

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Q: ·S. Given : dx. If we let the substitution =√√√4x-5, the resulting integral becomes 4x-3 (2u²+11) ^…

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Q: Q1: Find the for the following functions: dy dx 1- y = e(x+In 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh…

A: 1)y=ex+ln(5x) 2)y=cosh-1sin2x 3)y=xsinhx

Q: Given: c= 8, a = 5, C = 67° a A B Solve the triangle. (Do not round until the final answer. Round…

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Q: The graph of y = f(x) is given. 5 4 1 -4-3-2-1 123 -1 324 2 2 -5 -6+ State the value of each limit,…

A: Consider