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Q: Determine if B is the inverse matrix of A. 1 01 - 2 1 1 A = 2 1 3 В - - 5 2 - 1 -1 1 1 3 - 1 1 Is B…

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Q: For each relation, decide whether or not it is a function. Relation 1 Relation 2 Domain Range Domain…

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Q: Consider the function below. (x) = -2x² + 4x + 5 (a) Find the critical numbers of f. (Enter your…

A: Given: For (a), f'(x)=-2x2+4x+5' =-4x+4 So, the critical number is f'(x)=0⇒-4x+4=0⇒x=1. Graph: For…

Q: 1. Find the area under the curve of y on the interval [1, 4).

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Q: Curve sketching show all work f(x) = sin(x)cos(x) on [-pi, pi]

A: Solution is given below:

Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y g f(x, y, z) 3D…

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Q: Find the mass and center of mass of the solid E with the given density function p. E is bounded by…

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Q: 0.09) 121 At the end of t years, the future value of an investment of $39,500 in an account that…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find a function y = ax? + bx +c whose graph has an x-intercept of 1, a y-intercept of –3, and a…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find the work F dr done by the force F + yj+k around the curve C that is formed by the intersection…

A: Find your answer below

Q: 1. A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward…

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Q: Evaluate the integral. 40 sin 80 de cos Scos cos 40 sin 80 de =

A: ∫cos74θsin8θ dθ∫cos74θ2sin4θcos4θ dθ-2-2∫cos84θ2sin4θ dθ-12∫cos84θ-2sin4θ dθ

Q: 5. Given vectors å = (2,5, –5) and b = 21 - 7j + 3k a) Find å + b and write the answer in the…

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Q: Find f. f"(x) = 48x2 + 2x + 6, f(1) = 5, f'(1) = -4 %3D %3D f(x) = %3D

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Q: 1. Find the Gradient of the following F = x*e" - y': b. F, = 4x - 3y + 5=? а.

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Q: xト10 (オー2)(xフxt) dx

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Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A: Given,2,5,8,11,14Here a0=2d=a1-a0d=5-2d=3we know that ,an=a0+(n-1)dan=2+(n-1)3an=2+3n-3an=3n-1

Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: Find the area of the region bounded by = y ; x=2y²_4

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Q: . Consider the the curve y =(6x + 5)v6x + 5 from x =5 to x =11 a) Find the initial and terminal…

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Q: Write the integral in terms of u and du. Then evaluate. 12 sec (x) tan (x) dx, u = tan(x) (Use…

A: Given: I=∫12sec2xtan2xdx   ...1   We know that the Power rule: ∫xndx=xn+1n+1+C And ddxtanx=sec2x

Q: Not yet answered Question 2 Marked out of 1.00 The critical point of the function f(x) = a³ – 5æ² +…

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Q: 8.Evaluate the triple Integral. Te by The paraboloid X=2yt + 2z? and the plane X=2. 7x dV, where E…

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Q: Compute the surface area of revolution about the x-axis over the interval [3, 6] for y = 4x + 5.…

A: The equation of the curve is given by y = 4x+5 Formula Used: S = 2π∫36y1+dydx2dx To evaluate: The…

Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A: To find the recursive definitions and closed formulas of the arithmetic sequences.

Q: If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long, how long is…

A: Given, If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long,…

Q: A young superhero mixes up a batch of goo they can use to fight crime. The recipe for the goo…

A: W be the amount of water C be the amount of cola A be the amount of alcohol

Q: Consider the the curve y =(6x + 5)V6x + 5 from x =5 to x 11 a) Find the initial and terminal points:…

A: Consider the curve y=6x+56x+5 from x=5 to x=11.a To find the initial and terminal points.b To find…

Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) 2- 2 4…

A: As per the instruction, we will be answering only the first three subparts. Given the graph of f:…

Q: 5/3 1x² /100 – x² – y² + 10 75 - Let J= z dz dy dx - 5/3 13 (x? +y?) (i) Express the integral J in…

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Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays expone…

A: P(x)=85000e-0.02xx(t)=53+0.7t2Then P'(t)=dPdx×dxdtwhere dPdx=-0.02×85000e-0.02x…

Q: Calculate the cross product. (Use symbolic notation and fractions where needed.) (i + j) × k =

A: (i+j)×k

Q: A cable lowers equipment into a mine shaft. After 5 minutes the equipment is 243 meters from the…

A: The given problem is solved below in detail.

Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, -2) x? - xy + y? = 7, (-1,2)…

A: 1) xy=-4Differentiate w.r.t xxy'+y=-4Substitute (x,y)=(2,-2)(2)y'-2=-42y'=-2y'=-1Slope of tangent…

Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y f(x, y, z) =…

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Q: 4. Solve differential equation y'+ 2.xy =0.

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Q: Find all values of k for which the function y = sin(kt) satisfies the differential equation y" + 8y…

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? ... S- 300 dw w/100 – w? (Type an…

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Q: Finding the Volume of a Solid In Exercises 26–28, use the shell method to find the volume of the…

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Q: 31. n! it n n =D1 n = 1

A: The given power series,   ∑n=1∞n!nnxn

Q: in lim n' In n→∞ n!

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Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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Q: Find recursive definitions and closed formulas f sequences below. Assume the first term listed is 1.…

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Q: Given a Bernoulli's equation dy + 3ry = 2y, dz from applying proper substitutions, we obtain the…

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Q: Use the First Derivative Test to find the local maximum and minimum values of the function. y = 2x2…

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Q: Find f. f"(x) = 6 – 6x – 60x³, f(0) = 2, f'(0) = 3 %D f(x) = %3D

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Q: Given A, find A'without a calculator. - 11 A = - 2 1

A: The given matrix is:A=-11-21We need to find A-1

Q: a, Find the points of intersection of the curves y= x² +6 and y= 5x. %3D X, = and x2= %3D b, Find…

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Q: Choose all critical points of the function f whose gradient vector is vf(x,y) = (x/x-6-x, y-7) O (7,…

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