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Q: Find fy and fy, and evaluate each at the given point. 'y' 4xy f(x, у) - (1, 1) 2x2 + 7y2' fy(x, y) =...

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Q: A train is headed south at 1 mile/min towards the terminal while a cell tower stands three miles eas...

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Q: Find both first partial derivatives. z = 16y?Vx az ax az ay

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Q: Examine the function for relative extrema. (If an answer does not exist, enter DNE.) f(x, у) %3 2x2 ...

A: As per the company guidelines we are supposed to solve only first question or first 3 subparts in a ...

Q: The included angle of the two sides of fixed equal length x in an isosceles triangle is u 1 -x sin(u...

A: Here I am attaching image so that you understand each and every step.

Q: 1 Evaluate the limit lim using L'Hôpital's rule. In x

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Q: dw Use an appropriate form of the chain rule to find dt = In(10x² – 2y + l2³); x = tỉ, y = tỉ, z =t?...

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Q: If the profit function for a product is P(x) = 5600x + 65x2 − x3 − 122,000 dollars, selling how man...

A: The given profit function is: P(x)=-x3+65x2+5600x-122000

Q: C. Fibonacci Sequence Let Fib(n) bet the nth term of the Fibonacci Sequence, with Fib(1) = 1, Fib(2)...

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Q: The Colorado River is 1,387 kilometers in length.  What is 1,387 rounded to the nearest hundred?

A: Given Length is 1387 km.

Q: (a) (xcosx- y) dx= xdy, y(0) = 1

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Q: Examine the function for relative extrema. (If an answer does not exist, enter DNE.) f(x, y) = 2x2 +...

A: Solution...

Q: The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the num...

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,2,0), and (0,0,4)

A: x varies from 0 to 1& y varies from 0 to 2 and z varies from 0 to 4.

Q: Examine the function for relative extrema. (If an answer does not exist, enter DNE.) f(x, y) = 2x2 +...

A: Let's find. 

Q: x7 + 9x Find the general antiderivative of n(x) Use Cfor the arbitrary constant. (If necessary, rewr...

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Q: The solution of the differential equation dy dx 5x + y is

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Q: The solution of the differential equation by variable separable method dy (1+ y²) (3x² + 6) 5- is dx...

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Q: Classify the following differential equations as separable, homogeneous, parallel line, or exact. Ex...

A: The objective is to classify the differential equation and solve it according to the classification.

Q: (t2et – 4x?)dt + 8txdx = 0 %3D

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Q: Which of the following functions grows fastest? A x^x B x^1,000,000,000,000 c) x! 9,999,999,999,999,...

A: Find value at x=1,2,3 .... And then compare 

Q: Given the set of equations y = Arcsec u , u = Vx Which of the following is dy/dx? The answer does no...

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Q: Find the complete solution of the differential equation 3xy′ − 9xy tan x = 3x.

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Q: The equation y = - 0.2x² + 2x, where y is the height in meters and x is the horizontal distance in m...

A: Drone 1 :  y = -0.2x2 + 2x -------------------------------------------------------------------------...

Q: find the value of f(x)+ f(ax)+...f(a°x),Independent of a i2p 20, and f(x) = a, +2A,X* 7 If a=e %3D k...

A: Given that , a=ei2π7 and fx=a0+∑k=120Akxk find fx+fax+......+fa6x=?

Q: Classify the following differential equations as separable, homogeneous, parallel line, or exact. Ex...

A: In this statement printing mistake correct statement is  (2x-5y+1)dx-(5x-2y)dy = 0 

Q: (y - x + 3)dx + (x + y+ 3)dy = 0; x = 1; y = 4

A: This is the question from differential equations. 

Q: Q 12 Every subgroup of an abelian group is abelian.

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: 5. The volume of a frustum of a cone is given by the formula v = rz(x° + y° + x y) where x is the ra...

A: In this question, we want to find the rate of change of volume of the frustum by the given informati...

Q: then find x²°u +2x)y əxəy If u = (x – y)f(y/x), a2u then find x2 dx2 a2u + 2xy дхду

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Q: 10. f(x) = Vr* + 1, [1,3)

A: For the solution follow the next step.

Q: Find the Taylor Series of the following functions at the given value of a. 13 sin(x) at a = r/4 14 |...

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Q: The radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. The th...

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Q: tan’e+ cot´e+2 = sec'e cosec'e - cot'e+2 = sec²e cosec'e Prove the following identities.

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Q: Given f(x) = a - 4x, then f'(r) = 4x²(x – 3). The critical numbers are x = and x= f"(x) = 12x(x – 2)...

A: Hair we have to find out the point of inflection and critical point.

Q: Suppose that z = f(x, y) is differentiable at the point (1024, 256) with f-(1024, 256) = 4 an dz f,(...

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Q: Evaluate F. dr- F(x, y) = 3xi + 8yj C: r(t) = ti + V4 - t°j, -2 st s2

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Q: dy (1+y²) tan x , dx y(0) = V3

A: This question is from differential equations. 

Q: Prove the identity:  4 sin (3x) cos (4x) = 2 sin (7x) - 2 sin (x)

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Q: Find g'(x) if g(x) = f(cotx) where f(x) is a function of x and f' (x) is its derivative. g'(x) = f'(...

A: Solution is given below:

Q: Find an equation of the tangent plane to the surface at the given point. x² + y2 – 5z2 = 140, (-8, -...

A: We will solve the problem 

Q: Let f (x) = cos(6x) + 7. Compute the following Taylor polynomials of f. For any approximations, you ...

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Q: Obtain the differential equation of the family of lines passing through the center of the conics des...

A: First find out the centre of given conic then write the equation of family of lines passing through ...

Q: Solve: sin dy =x+y dy

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Q: Find fy and fy, and evaluate each at the given point. 4xy f(x, у) %3D (1, 1) V 2x2 + 7y2' f,(x, y) =...

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Q: 016. Find aw/as and dw/at using the appropriate Chain Rule, Function Values w =y-3y x = e, y= e S= -...

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Q: Evaluate the product for the following using a sum or difference of two functions: sin(-45 degrees)...

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Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at O and slides ...

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Q: Question 2. Find values of p and q such that the function y(x) = (px² +q)-' is a solution of the ini...

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Q: Find both first partial derivatives. h(x, y) = e-(x9 + y9) h,(x, y) = h,(x, v) =

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