1. Find the scalar equation of the line r = [-5,3] + t[2,7].

Q: Help step by step

A: Step 1: Identify the derivative rules that applyConstant Rule: (where c = constant, ex: 10)d/dx (c)…

Q: The differential equation bx [a y sin (5x) + 2e'* cos(4y) +mx²] dx + [cos(cx) + 2eb* sin(4y)] dy = 0…

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A: Step 1: Determine the quadrant bearing First, check to see if the vector is nearer to the South or…

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Q: Plot the following surfaces on the same graph, step by step: (see attached image)

A: Step 1:The given equation of surface is:−9x2+16y2+9z2+128y−54z+193=0, Step 2:We rearranged it…

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A: Ans 1(a):Ans 1(b):Ans 1(c):

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A: Step 1: Step 2: Step 3: Step 4:

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A: We differentiate the function y = tanh(x3) with respect to x by using the chain rule. The derivative…

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A: Step 1: Given-The initial position of the particle is r(0)=(0,0,0) (Particle starts from rest.)The…

Q: 4. Given y(3)(x)-y(2) (x) = ex. Find the general solution for y(x). (Hint: No need to find the value…

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Q: solve for b

A: (a)We are…

Q: Consider the solid object lying inside both the cylinder x2+y2=1x2+y2=1 and the sphere…

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Q: At what points on the given curve x = smaller x-value (x, y) = larger x-value (x, y) = 2t3, y=3+ 40+…

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Q: only part e needs an answer.

A: To find where the function f(x)=x4−9x3 is decreasing, we need to determine where its derivative,…

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Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use…

A: Let's denote the side of the square base as x (in cm) and the height of the box as h (in cm). The…

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A: We find (f(x)g(x)​)′ when x = 2. We  using the quotient rule for…

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A: Step 1: Step 2: Step 3: Step 4:

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A: From the given table, we can see that the Maclaurin series for cos(x) is Σ((-1)^n * x^(2n) / (2n)!)…

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Q: Find In(6) .5 In(2) e -x+2y dydx

A: Step 1: The given integral is  ∫ln(2)ln(6)​∫05​e−x+2ydydxIntegration with respect to…

Q: 2. [0/2.5 Points] DETAILS MY NOTES SCALC9M 3.7.008. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE…

A: Given that the area of the rectangle is constant and equal to 2,197 m², we can express y in terms of…

Q: Please help me with these questions. I am having trouble understanding what to do. Thank you

A: Step 1:    Step 2: Step 3: Step 4:

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Q: 1. Which of the following statements are true? (i) Every continuous function f : [a, b] → R has a…

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Q: Express the number as a ratio of integers. 4.739 = 4.739739739...

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Use the Laplace transform to solve for the general solution y(t) of the system:x′ = 2y − ty′ = −x −…

A: Given :              x′=2y−t               y′=−x−3y+etwith initial condition  x(0)=0  and  y(0)=0…

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A: Step 1:Step 2:Step 3:Step 4:

Q: 4) The Population of the United Kingdom in July 2002 was estimated to be 59.8 million. At that time…

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Q: Q18

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A: Step 1: Identify the derivative rules that applyConstant Rule: (where c = constant, ex: 10)d/dx (c)…

Q: It is known that function f is an increasing function that satisfies f(0) = 2 and f'(0) = -2. Use…

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Calculate f′(3) to 3 significant figures where f(t)=(2t^2+1t−4)^−8

A: We are tasked with calculating f′(3)  for the function:f(t)=(2t2+t−4)−8 1: Differentiate the…

Q: Hi, I am having trouble with this problem and I need help. Thank you.  The problem is: A particle…

A: The position of the particle is given by:s=f(t)=t3−9t2+24t The velocity of the particle, v(t), is…

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Q: Given that et cos (2 t) equation y + and b is equal to " a y is a solution of the constant…

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Q: Pls help ASAP. Pls show all work and steps.

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Q: solve it

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Q: For what value of the constant a does the substitution u = ya converts the differential equation -t…

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Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.

A: Step 1: