Let vector a = <-1,-2,-3> and vector b=<-4,0,1> find the projection of vector b onto vector a

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A: we need to find the graph which has slope=-1/2 and has the point (-2, -5)

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Q: Consider the following function on the region described by the inequality. f(x, y) = 2x² + 3y² - 4x…

A: Given data: f(x, y) = 2x² + 3y² - 4x-8, g(x, y) = x² + y² ≤ 16

Q: Suppose C(x) = g(t)dt where the graph of 0 g is given below. tu 0 X True 5 False 10 True or false:…

A: Suppose Gx=∫0xgt dt, where the graph of g is given below. To determine whether the following…

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Q: A function f has the following verbal description: "Multiply by 7, add 9, and then take the third…

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Q: (a) f'(-3) (b) f'(-2) (c) f'(-1) (d) f'(0) (e) f'(1) (f) f'(2) (g) f'(3) y = f(x) 1 0 X

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Q: For solving the integral cot(10x)csc^4(10x) I know we can solve this by making u = csc(10x) and the…

A: To find:- ∫cot10xcsc410xdx

Q: Solve the initial value problem.

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Q: Consider the following LP problem: maximize z = 5X1 + 2X2 + X3 subjected to X1 + 2X2 + 3X3 <= 30, X1…

A: Given linear programming problem as follows ,  Max Z =   5 x1 + 2 x2 +   x3 subject to…

Q: Suppose ƒ(x) = −10x² + 7x – 9. Evaluate: lim f(x) = Question Help: Video Written Example Messa…

A: Given query is to find indicated limit.

Q: 1. Use the First Fundamental Theorem of Calculus to find the exact first quadrant area under…

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Q: f(x)=8x*; x=2 he instantaneous rate of change for the function at x = 2 is Round to three decimal…

A: Given: f(x) = 8 xx  At x = 2

Q: 13. DETAILS Find the derivative of the function by using the rules of differentiation. 5 x3 f'(x) =…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The equation of motion of a particle is s= = t³ – 3t, where s is in meters and t is in seconds.…

A: given s=t3-3td dt(tn)=ntn-1d dt(constant)=0

Q: Find the velocity and acceleration vectors in terms of u, and up. r= a cos 30 and V= de dt v=4₁ + ¹₂…

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Q: Give a limit expression that describes the left end behavior of the function. 40x² + 4x² 2 17x⁰…

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: Please see the below picture for detailed solution.

Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

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Q: Find an implicit solution to the differential equation e³ dx + (2y + xe") dy = 0.

A: We have to find an implicit solution of the given differential equation.

Q: The derivatives of the function f(x) = cos(3x²) that follow are incorrect. What misconception occurs…

A: Question number 6th  is not properly visible so we will be answering only 8th question.

Q: Evaluate the definite integral 1 (4827-24) da = Number (48a7-24) dr using Part 1 of the Fundamental…

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Q: The integrating factor to the linear first order DE ty' + 2y=2sint O 0 1² Ot O e 2t O e¹

A: ty'+2y=2sintstandrad form of linear first order DE is dydx+p(x)y=q(x)integrating factor=e∫p(x)dx

Q: Find the mass, the moments, and the center of mass of the solid E with the given density function p.…

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Q: If f(x) = f* t³ dt then f'(x) = f'(-6)=

A: Given query is to find indicated derivative.

Q: The line tangent to the curve x²y² = 16 at (-1,-4) is y=.

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Q: The graph of y = f(x) is given below. Answer each of the questions below the graph. 10+ 9+ 8 7 6 +…

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Q: Leave all answers in exact form (not rounded) Evaluate the improper integral or state that it is…

A: Given integral:- ∫1∞1xx2+2dx

Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

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Q: The force F on an object is the product of the mass m and the acceleration a. In this problem,…

A: F(t)=m(t)a(t) at t=7 s,  m(t)=51 gramschanging rate=m'(t)=9 gsat t=7, a(t)=8 ms2  changing…

Q: Find approximate values for f' (x) at each of the x-values given in the following table. Use a…

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Q: Velocity of a Hot-Air Balloon A hot-air balloon rises vertically from the ground so that its height…

A: This is question of calculus  here one function is given  we solve using application of…

Q: DETAILS Determine which of the limits below exist as a number, , or-, and which do not exist. If the…

A: Topic=Limit As per guidelines, At a time only one question with three sub-parts can be solved.…

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Q: Find the derivative and domain for the function f (x) = = 3x-2 5x2–25

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Q: Good day! I need help with my activity for today. Positive ratings will be given for a correct…

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Q: √(asinx-cos4x)² dx

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Q: dy The general first order linear equation can be written in the standard form dt The equation ty' +…

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Q: Suppose that w = xe, dw dt Find where x = t², y = 1-4t, and z = 1+9t.

A: Given; w=xey/z, x=t2, y=1-4t, z=1+9t.

Q: Find the principal unit normal vector N for the curve r(t). r(t) = (10 sin t)i + (10 cost)j + 7k OA.…

A: r(t)=(10sint)i+(10cost)j+7kd dt(sint)=costd dt(cost)=-sint

Q: ated quantity if it exists. Let f(x) = )= | (Type an integer.) t does not exist. orrect choice below…

A: Given query is to find indicated limit.

Q: Learning Target DC1: I can compute derivatives correctly for power and polynomial functions, and…

A: Concept: A derivative is the term used to describe the variable rate of change of a function with…

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Q: The instantaneous slope of f(x) (when f(x) is a polynomial) Hint: 120 GO f(x)=x²-2x - 5 compute the…

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Q: A record company has determined that the cost of producing CDs is $0.06 per CD plus $597.60 per…

A: to find out the profit function equation and also we need to find out the break even point.