Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y, z) = 7x + 6y, maximum rate of change direction vector (3, 2, -1) 00 MY NOTES ASK YOUR

Q: For the following function f, find the antiderivative F that satisfies the given condition. f(t) =…

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Q: A continuous income stream has an annual rate of flow at time t given by f(t) = 12,000e0.03t…

A: A continuous income stream has an annual rate of flow at time t given by f(t) = 12,000e0.03t…

Q: derivative its actually only cos^12 on the last idk why

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Q: Write an equation for the polynomial function graphed below -4 -3 -2 -1 4 3 2 7 3 & 2 3

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Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1200x dollars and…

A: To find out the number of units that will produce the maximum profit and also the maximum profit.

Q: Find the exact values of the sine, cosine, and tangent of the angle. 177 177 177 12 6 sin 17л tan /2…

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Q: Find the matrix of the quadratic form. Assume x is in R³. a. 9x3+4x2-5x3-12x₁x₂ + 16x₁x3-4x₂x3 b.…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 3.. One arch of a cycloid is given by the parametric equations x(†) = 2t − 2 sint, y(t) = 2-2cost;…

A: The length of a parametrized curve rt=xti→+ytj→between the points xt0,yt0 and xt1,yt1 is given by…

Q: Compute the coefficients for the Taylor series for the following function about the given point a…

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Q: The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the…

A: a) To find the velocity vector of the point, we take the derivative of the position vector F(t) with…

Q: This exercise uses the population growth model. Some bullfrogs were introduced into a small pond.…

A: **As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: Please solve and show all work. Find the linear approximation of f(x) = ln x at x = 1 and use it to…

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Q: Find a vector parametric equation for the ellipse that lies on the plane 4x - 4y + z = -7 and is…

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Q: [e-32-2³ d. z. Write your resul in the form- Carry out the following integration: ea -3-322+c. What…

A: To find the value of alpha.

Q: Q4.5 Let f be a function completely defined by the graph below on the interval [0, 10]. On the…

A: Please refer to the detailed solution.

Q: The function f(x)= (x+5) is one-to-one. a. Find an equation for f(x), the inverse function. b.…

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Q: 6. Compute the integral ²₂ ده ایم dydx by switching the order of integration.

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Q: For the function of three variables, find the partials fx, fy, and f₂. 1 = (x² + y² + z²)+ f (a) fx…

A: Given:     f=x2+y2+z24 a)   fx=∂∂xx2+y2+z24 Applying chain rule:            =4x2+y2+z23∂∂xx2+y2+z2…

Q: At what x values does A(x) have a local max: x = At what x values does A(x) have a local min: x=

A: As per the fundamental theorem of calculus, given a function A(x)=∫0xf(t) dt, the derivative of this…

Q: 12. Sketch the solid consisting of all points (p, 0, ) such that 0≤0</2, 0≤ ≤ 5/6 and 0≤p≤2 cos p.

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Q: The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

A: E as a function of t.

Q: Lea wants to build a compost bin in the backyard but is only using the area beyond the path running…

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Q: Determine the most possible complex zeros of the following function: f(x) = 3x¹ + 6x¹4 - 7x¹5 + 13x…

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Q: Solve for x in: 3x²ex + 2xe* =

A: The equation is given as 3x2ex+2xex=0

Q: Find the curl of the vector field F = (3y cos(x), 4x sin(y)) curl F= Calculator Check Answer

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Q: Find the distance traveled by a particle with position (x, y) as tvaries in the given time interval.…

A: For solving the given problem:

Q: Use the Squeeze Theorem to find lim f(x), given that 4 − x − 2| ≤ f (x) ≤ 4+|x − 2]. x→2 lim f(x) =…

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Q: 2. The equation of the circle with radius 2 centered at the origin is x² + y² = 4. The semi-circle…

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Q: f(x) and g(x) are continuous functions. Find the derivative of each function below then use the…

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Q: 3) lim x-0 1 x+2 X 1 2

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Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x +…

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Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: A farmer makes a pen for his ducks in an inside corner of his barn. The lengths of the sides of the…

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Q: Find Ә дх 2e4zy

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Q: Show that the differential form in the integral below is exact. Then evaluate the integral.…

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Q: Let F = 5(x + y)i + 7 sin(y)]. Find the line integral of ♬ around the perimeter of the rectangle…

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Q: Find f'exo if fex)= Find f'ex) if fcx)= (5x² + 1) cos(2x) 100 sec² (2x + 5) (x + 2)¹ 3

A: fx=5x2+1cos2x3sec22x+5x+2100

Q: Find the distance of the point (3, 5, -4) from the line r(t) = (1 + 3t, 1 + 4t, 7 − 3t). Answer:

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Q: . The critical point of f(x, y) = 4x² +9y² + 8x − 36y: A. Occurs at (-1,2) and is a local minimum B.…

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Q: The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the…

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Q: ƒ'(x) = = f(x) = + S Find a formula for the function f(x) such that cos(x) and f(5) = 2. X t = t= ||

A: The given function is: f'(x)=cos xx ;    f(5)=2

Q: True or false: When b is a positive real number, 1 J b+x² O True O False dx > n=1 1 ·b+n²'

A: Here in the integral of 1(1+x2) from 0 to ∞ can be evaluated using the substitution u = tan(x),…

Q: Find all the zeros of the function f(x) = x² + 14 O 14, -14 O√14, 14 O√14,-√14 O 14.-14

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Q: Find the maximum for the profit function, P = 7x + 4y traints

A: Find the corner points of the feasible region. The corner points are A30029,24029, B(6,30),…

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log2 (1-x) = 3…

A: Given that log2(1-x) =3 We use the following property to solve the problem:           log2Z= y⇒…

Q: Indicate how the graph of g(x) = (x + 4)² +5 is related to the graph of f(x) = x², shown below.…

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Q: Find the maximum of the profit function, P = 3x + 2y subject to the following constraints. -3x + 2y…

A: To find the maximum of the profit function. P=3x+2y subject to the following constraints.…

Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = e-Yi-xe- j P(0,…

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Q: (a) Find the average number of job seekers during the period t=0 to t= 10.

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