write the aufubal accleration du d= df dw: 2dt WA S St dwp = 0 gelateen, (3+ + 2) d+

Q: Find the average value over the given interval. f(x)=x²+x-7; [0,14] The average value of f(x) = x² +…

A: We have to determine the average value

Q: For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line r = (2,−1, −2) + t(3,1, −2)…

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Q: Q2: Fill the blank: 1) lim (1+)52 x48 4x 2) lim x.e-3x = X-80 3) (csch¯¹x³) = . dx 5x =...

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6). Q2. Find the angle between…

A: Here are the solutions:

Q: The value of the following limit Lim (cos(x) cot(x) is: AL

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Q: A fair coin is flipped 5 times. What is the probability of: a. Getting HTHTH, in that order? b.…

A: According to our guidelines we are supposed to answer only the first three sub parts question if you…

Q: Consider the following polynomial function. f(x) = (x+2)²(x-1) Answer the questions regarding the…

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Q: H.w2: evaluate 0.5 0.5 sinxy dx dy, using the Ax=Ay = 0.25 0 1+xy

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Q: Evaluate cos¹3xdx. a. 0.245 b. 0.267 O b O d c. 0.229 27 d. 0.196 e. none of the choices

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Q: 5. Interest rate. A 2-year loan of $4650.25 accumulated $269.75 in simple interest. Calculate the…

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Q: Find dz/dt where z = 2xy - x² y² and x = 2t, y = t².

A: Given: Now,        z=2xy-x2y2  =22tt2-2t2t22  =4t3-4t6

Q: f(x)=4-x², y = 4, x = 2 Find the volume of the solid obtained by rotating the region A about the…

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Q: x-8 7 Consider the lines 1₁: x = 1 + 3t, y = 2 + 3t, z = 3 - 10t and 1₂: a) Find the point of…

A: Given problem:- Consider the lines l1 : x = 1+3t, y = 2+3t, z=3-10 and l2: (x-8)/7 =(y+1)…

Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

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Q: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

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Q: Use the Table of Integrals to evaluate the integral. Show ALL work. S 11x³√4x²x¹ dx

A: Follow the procedure given below.

Q: Determine the area of the region bounded by the line y = 8x, y -axis and y=10. a. 25 sq. units b.…

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Q: By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

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Q: on with a nonremovable discontinuity at x=4 on with a removable discontinuity at x=-4 on that has…

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

Q: Choose the end behavior of the graph of each polynomial function. 4 (a) f(x) = -5x² + 4x + 2x² - 9 3…

A: (a)rise to the left and falls to the right

Q: Explain why the integral is improper. 49 1 1²0 √/x dx X 1.6 1.4- 1.2

A: Given improper integral I=∫049    1x   dx

Q: a) 2x+3y-z-2 x-2y+3z= 13 4x + y + 3z = 9

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = S dx (x - 1)². (x…

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Q: 3 co ós co -6 -3 144 -4 Let y = ,V1= 5 Compute the distance d from y to the subspace of R4 spanned…

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Q: 8. Find the length of the curve r(t) = from t = 1 tot = 5. 9. Find the curvature of the curve r(t)…

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Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

A: Topic = Derivative 1) C 2) B 3) D

Q: The position function of a particle is given, in metres, as s(t)=t 4-10t 3+36t 2+10t+12 where t ≥0…

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Q: Q5) Evaluate the following integral by using Partial Fractions Method = y = S₁ 2x²-3x+2 - (x − 1)².…

A: Use partial fraction to calculate the integral.

Q: 5a) Which of the following vectors are unit vectors? Justify your answers. *-[243] b) Are these…

A: A vector that has a magnitude of 1 is called unit vector. For a given vector v→= x,y,z magnitude is,…

Q: Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12 using…

A: Given: f(x)=x3 from x=0 to x=12 using 4 rectangles with width h=3

Q: 4. Find an equation for the plane through (1, 3, 4), with normal vector .

A: topic- equation of plane with point and normal vector

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

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Q: b) 42x + 4 = 6 (HINT: use substitution)

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

Q: 8 Y + 2√² + 2y = 10x + 25

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Q: Given f(x) = = Domain: 1 x + 2 and g(x) = 6 X - 4' find the domain of f(g(x))

A: We have to find the domain

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

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Q: 7) Write an expression that can be used to find the average value for the function g(x) over the…

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Q: calculusssss please

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Q: Find the volume of the solid obtained by rotating the region B about the line y = -2. A B

A: Given problem:- f(x) = 4 - x2 , y = 4,x = 2  Given graph :-     To find:- Find the volume of the…

Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: Evaluate afa²-x² dx. a. - Q² b. a² O a b e C. d. a³ e. none of the choice

A: Solution is here

Q: Solve for x: |x+5| < |X-71

A: Follow the procedure given below.

Q: 9. Determine the Cartesian equation of the plane that contains the intersecting lines: -2 y 2+3 x-2…

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Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t = 0

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Q: Find the nth Maclaurin 3x - 5 f(x) = x + 1 P4(x) = polynomial for the function. n = 4

A: Given function f(x) =3x-5x+1

Q: Provide your answer below: Domain in interval notation is Range in interval notation is

A: This is a problem related to domain and range of the function. Based on the general formula and…

Q: 4. Using the vectors: ü=[2,-1,3], v=[4,5,-2], w=[1,-1,7], calculate: a) b) ux v c) ū+ v +2w

A: Here we have to perform the vector operation

Q: The following is a step in the evaluation of the derivative of a function f(x) at a point x = 1…

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Q: 4. In a random check on an assembly line, the probability of finding a defective item is 0.005.…

A: Please refer to the image below