A force of 40lbs acts on a body at an angle of 30°. Express the force vector in component form and linear combination form. component: linear combination:

Q: Evaluate lim, f(x) using the graph of f. x2+ 0 b. +00 6

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Q: Assume y = f(x) is a function that is continuous on the real line. Which of the following statement…

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Q: 4 None of the Choices f(t) 1 (e²+ e ²¹)-(e₁-e²₁) Option 3

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A: Follow the procedure given below.

Q: Qol find the derivative of: - f(z) = (2+22²1/2²) ¹/3 14 3) f(²)= (1+2²) ³/2 -3 7 f(z) = (iz-1)³

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A: Here we will solve the given system of equations,

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A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Use Integration by Parts (IBP) to evaluate the following integral. ² ln(r) + ³ + C 2² In(z)-2³ +C…

A: integration

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A: Given y3+4y2+3x2y+10=0To find dydx:

Q: Question 5 Use the rules of differentiation to find the derivative of the function y = x(6x + 1)5.…

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Q: The following figure the position vs time curve for a certain particle moving along a straight line.…

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Q: s-1 s(s+ 1)² -1+et+2te-t 2+te-t-e-t O Option 1 Option 3 1+et-2te-t Option 2 -2+tet + et O Option 4

A:

Q: What is the surface area of the solid generated by revolving about the y-axis, y = 1-², on the…

A: Given

Q: е 0.99

A:

Q: Please fix the mistakes that are in Red for me.

A: Note: Since you have posted a question with multiple subparts we will solve the first three parts…

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1

A:

Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

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Q: Determine if the series converges or diverges Sum n=1 (n+1)/(n+3) State the test used, show that all…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=-3x²-3xy-8y²…

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

Q: State whether L'Hôpital's Rule applies or not. x² - 25 lim x-5 54x - x² Does L'Hôpital's Rule apply?…

A: We have to check weather the L'Hospital rule is applicable or not after that we have to calculate…

Q: X1 (-1, 2) & (-3,0) Y₁ ; X₂ = m m 11 -C Y2 =

A: Solution of given question is written in below steps.

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Q: Numbers 4,5,6 please

A: Let's solve  given integration.

Q: Numbers 13,14,15 please

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Q: S x²-x+1 x² + 2x + 2 2 -dx

A: We need to evaluate integral.

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Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

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Q: 2 (e²t-e-2) ² 32 s(s² + 16) Option 4 32 s(s² - 16) Option 1

A: Given :e2t-e-2t2

Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 62² and…

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Q: A point P is moving along the curve whose equation is y=√x³ +17. When P is at (2,3), y is increasing…

A: Differentiate with respect to t.

Q: 7. Determine the volume of the region that lies under the sphere x² + y² +2²=9, above the plane z =…

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Q: Is it possible to solve all the points with Finding Domain and Range 1) y sin x 2) y = cos x J= tan…

A: Solution is given below

Q: √101

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Q: 1. Find the area bounded by the region y = 3x + 1, x=1, x=3 and the x-axis.  a. 8 b. 11 c. 14 d.…

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Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: ff xy dx dy

A:

Q: Consider the matrices shown below: Find the value of K such that 4 B-B2C-13 = 5 1 10 18 18 B-¹C – 15…

A: Given B=4-102 and C=142315We know that if A=abcd then A-1=1ad-bcd-b-caB-1=18+12104=192104

Q: [9] Q4)(a) Find the maximum eigen value for the system 4 = x (0)=(0.02991) with initial vector

A: Follow the procedure given below.

Q: t(0-28 m/s) (x) (400m) (x) Candidate Car model (x) 1994 Ford SVT Boss Mustang 10.0L Concept 1.9…

A: We need to find acceleration.

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Q: Find x²-x-12 lim x--3 x2 + 8x + 15

A: We have to find limit of given function

Q: 6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b)…

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Q: If A = 3ai +4j-k and B=4i+j-3k, find the value of a if A normal to B.

A: Given A→=3ai^+4j^-k^  and B→=4i^+j^-3k^

Q: 0.99 6. е.

A:

Q: 4.3√√√7

A:

Q: Solution 1 y = (x +3)(2x – 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x - 15 y = 2(2x)2−1+1-0 y' = 4x+1…

A: Please see the below picture for detailed solution.