B 13 a 21° А C b

Q: 13. Find an equation of the inverse of the following one-to-one function. Please show your work, cir...

A: Solution - 13

Q: 7. A particle moves along a horizontal line so that it's distance in feet from it's initial position...

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Q: Based in the results What is the probability the next photo taken from the envelope will be a pet a ...

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Q: (a) Find the directional derivative of φ = x2 + sin y −xz in the direction i+ 2j−2k at the point (1,...

A: a) Given that φ=x2+siny-xz Now first evaluate gradient of φ, so gradφ=∇φ=∂∂xi+∂∂yj+∂∂zkx2+siny-xz=∂∂...

Q: The graph of f is given. State the numbers at which f is not differentiable. X (smaller value) X (la...

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Q: Find the area of the shaded region.

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Q: Find the cartesian coordinates of the point (-5, -pi/6)

A: Answer and explanation is given below...

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we...

Q: Find the integral. [ Hint: set U= x^2. Note that a “special skill” is needed here — solve dx. Be su...

A: Given ∫1xx4-4dx To Find integral ∫1xx4-4dx

Q: ) Find an equation for the sphere. ) Describe the sphere's intersection (also called trace) with the...

A: General equation of of sphere: x-a2+y-b2+z-c2=r2 Given that: a,b,c=0,4,-3 and r=5   a) Required equa...

Q: 1. Use implicit differentiation to find dy/dx for et'y = 2x + 2y

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Q: Find the slope of the tangent to the parametric curve at the indicated point.

A: Consider the parametric curve  x=t2+2t,                 y=2t−2t    

Q: Lyapunov Function.

A: Given non-linear system is x1˙=-x1x22x2˙=3x12x2

Q: Determine whether the following series converge. Justify your answers.

A: The given series is ∑k=1∞tan-11k. Let uk=tan-11k     and  vk=1k. This implies that, limk→∞ukvk=limk→...

Q: 12. The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions of ...

A: Given: The objective is to find the dimensions of square and an equilateral triangle whose perimeter...

Q: calculate the integral

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Q: Find each integral. [ Be sure to apply the arcsin or arcsec rule! ]

A: Given: From the above expression,

Q: Calculus Question

A: The cartesian coordinates of a point are given. We have to find the polar coordinates.

Q: Consider f(t) = (cos t, sin t, t²) and g(x,y,z) = (x² + y² + z², 3x + 4y –- 12z) and h = g(f(t)) = (...

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Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^          ...

Q: Galaxy manufactures two dolls: Mary and Joan. Total production has to exceed 800 pieces. a. How do y...

A: To model the given problem, take two decision variables x1 and x2, which indicates the doll's produc...

Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A: The given integral is, I=∫etet+1dt Let, et+1=u Differentiate u, du=etdt Substituting in equation I=∫...

Q: Rewrite the expression as a sum, difference, or product of simpler logarithms. 8. log8 11 O log4 8 -...

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Q: Let (u, v) = (4u + v, 2u + 9v) be a map from the uv-plane to the ry-plane. Describe the image of the...

A: The given transformation Φ is, x=4u+v⋯⋯1y=2u+9v⋯⋯2 Let's express u and v in terms of x and y. In ord...

Q: Find the gradient for the function f(x,y)=5x^5y^2 at the point (1,2).

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Q: I will appreciate a detalied explanation, so I can do similar exercises. I am struggling on how to u...

A: Consider the equation

Q: Find the local and/or absolute extrema for the function over the specified domain. (Order your answe...

A: Consider the equation

Q: A rotating light is located 16 feet from a wall. The light completes one rotation every 4 seconds. F...

A: Given that a rotating light located 16 feet from a wall and the light completes one rotation every 4...

Q: Find the solution of the differential equation that satisfies the given initial condit du dt 2t + se...

A: The given differential equation:                                          dudt=2t+sec2(t)2u   Solvin...

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x...

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Q: Number 4

A: Consider the given limit, limθ→-∞2sinθ+6   Apply the rule of linearity, limθ→-∞2sinθ+6=limθ→-∞2sinθ+...

Q: Can you graph these for me please

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: If v = 7i + 3j and w = 4i - 5j, find 6v - 3w.

A: Given v=7i+3j and w=4i-5j We have to find 6v-3w. 6v-3w=67i+3j-34i-5j=42i+18j-12i+15j=30i+33j

Q: 1. Find the area of the bounded region by x- y = 2, x= y73 and y = 8. Round your final result to the...

A: The given function is bounded by the x-y=2,x=y23 and y=8. Write the given equation as a function of ...

Q: 11-

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Q: Kindly answer the 2nd question. Thank you so much.

A: fx=-x-2,         x<-29-x2,   -2≤x<13-x2,           1≤x Now the graph is,

Q: Kindly answer the 2nd question. Thank you so much.

A: To sketch the graph and determine the domain and range of the following piecewise-function defined. ...

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship...

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Q: Water is leaking out of an inverted conical tank at a rate of 13000 cubic centimeters per min at the...

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Q: a. Find a positive angle less than 2π that is coterminal with 16π/3.b. Find the reference angle for ...

A: a) Coterminal angle:  Coterminal angles are angles in standard position (angle with the initial side...

Q: Find the derivative. Simplify where possible. y  =  Coth-1 (Sec x)

A: The given equation is y=coth-1secx