5. Let f(x, y) = x² + y? – xy + x. Find the critical point of f and determine if it is a local minimum, local maximum, or saddle point.

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)² 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = /1+ Vī – x ...

A: As per our guidelines, we can help you in solving only first three subparts, Rest of the problems yo...

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: If z = x + y is an objective function to maximize, with restrictions x ≥ 0; and ≥ 0; y ≥ x; y≤5. The...

A:

Q: differential equation is given along with the field or problem area in which it arises. Classify it ...

A: An ordinary differential equation is an equation that involves independent variables, dependent vari...

Q: #37

A:

Q: Use the method for solving homogeneous equations to solve the following differential equation. 80 se...

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Q: #62

A: We have to show that the concentration of salt after t minutes (in grams per liter) and what happens...

Q: dv A model for the velocity v at timet of a certain object falling under the infiuence of gravity in...

A:

Q: x2 - 4x - 21 Let f(x) = Find a) lim f(x), b) lim f(x), and c) lim f(x). x-7 x→7 X→-3 ... a) Select t...

A:

Q: #9 all

A: 1)Find the tangent of the curve y= 3+4x2-2x3 at x=a. 2) find the equation of tangent line at point (...

Q: Circadian rhythms are biological that oscillate with a period of approximately 24 hours. That is, a ...

A: Let's find. 

Q: Evaluate the following indefinite integral. Use trig identities to go to sines, cosines and tangents...

A:

Q: In the year 2000, about 98.7% of households had telephone landlines. The number has decreased with a...

A:

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(3) when the deri...

A:

Q: A given partial fraction 2х A B Cx + D (x – 1)(x+ 4)(x² + 1) X +4 x² + 1 X- a B can be evaluated as:

A: Given a partial fraction we have:-2xx-1x+4x2+1=A(x-a)+B(x+4)+Cx+D(x2+1)  -(i)Our Aim is to evaluate ...

Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from th...

A: Given that, There is a hemisphere, Radius (R) = 5 m Length (L) = 2 m density of water (d) = 1000 kg/...

Q: Evaluate the integral: -dz 1372 (A) Which trig substitution is correct for this integral? Oz = 64 se...

A: Given: As we know from the trigonometric identities: 1). sin2θ+cos2θ=12). cotθ=cosθsinθ3). csc2θ=1+c...

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 27. 3 -1 -2

A: Find your answer below 

Q: Solve xy' (2y -1) = y (1 - x)

A: We can solve the given differential equation by using the variable separable method.

Q: f(x) = E g(x) = x2 - 3x Find (fo g)(x). Find the domain of (fo g)(x). (Enter your answer using inter...

A:

Q: #49

A: Find your answer below 

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O...

A:

Q: Find the DE of the family of plane curves described and sketch some of its members.

A:

Q: S from a = to b = = %3D sin I O In sin () + In sin() O cot -cot 플 | 4 2 O In (sin )- In(sin ) O none...

A:

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cose -21/29 -20/29 21/...

A: As x= r cosθ  and  y=r sin(θ), then          r = x2+y2    and  θ=tan-1yx

Q: &

A:

Q: Solve the initial value problem. d?y = 3 - e 2", y(1) = - 2, y'(1) = 4 dt?

A: Given that: d2ydt2=3-e2t, y(1)=-2, y'(1)=4

Q: The period of y = cos x is units. 4 7I

A: We can find the period as below

Q: Q1. A Find by using chain rule, if f= u + cos'u u = x, at x=; marks) B) Graph the trigonometric func...

A:

Q: method; Inz VUna)²-y²

A:

Q: 6. a. Show that the vector à = (1, 12, –29) can be written as a linear combination of b = (3, 1, 4) ...

A: Here we have to show that the vector a=(1,12,-29) can be written as a linear combination of b=(3,1,4...

Q: e2x dx 4 + e4x 13.

A: We have to find the integral of the given function. 

Q: 6x° + 8x² + 45x +36 Consider the indefinite integral 2' + 9x2 Then the integrand has partial fractio...

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Q: Use the graph to determine the following. a. the function's domain b. the function's range c. the x-...

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Q: The base of a solid is the region in the first quadrant bounded by the curves below. 4y = 4 – x? x-a...

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Q: (*+2x* -1) ? 5. What is f(-2) if lim, 5-3x 12 В. 6. C.- 15 D. -- А.

A: Given that: limx→-2x3+2x2-15-3x

Q: Find the DE of the family of plane curves described and sketch some of its member Circles tangent to...

A:

Q: a) Describe the graph of the curve y - 8x - 6y - 23 = (0 and find the equation axis, tangent at vert...

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Q: Solve the equation for 0 <0 < 2 . cos 0 – v2 cos 0 = 2 cos 0 sin 0 + cos 0

A: Do not cancell the common terms on both sides.

Q: Which of the following equations has amplitude = -2, period = 4, phase shift = - Oy = -2cos8(x + T1/...

A:

Q: (10x -) dx

A: We can find the integration as below.

Q: Part A A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 6.0 m/s. Secr...

A:   Given: A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 6.0 m/s2. S...

Q: Read each item carefully and encircle the letter of your choice. 1. It refers to an extreme point on...

A: 1.     2.

Q: Solve each triangle. Round your answers to the nearest tenth.

A: We will solve the given triangle by using sine rule as shown below

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: topic - application of derivatives

Q: A right circular cone has a fixed height of 7 units. Find the rate of change of its volume v with re...

A:

Q: ind the volume of the solid generated by revolving the region in the first quadrant bounded by the c...

A: Given problem:- Find the volume of the solid generated by revolving the region in the first quadrant...

Q: Solve the initial value problem. d?y = 3 e -X, y(0) = 1, y'(0) = 4 dx2 y =

A:

Q: (a) Find the exact area of the surface obtained by rotating the curve y = e^x about the x-axis over ...

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Q: Use row operations to change the matrix to reduced form. 1 1 1 17 2 34 21

A: