Direction: Find the particular solution of differential equation and use typewritten. (Non-Exact/Linear First-Order a) (y² + y)dx = (y² + 2xy + x)dy = 0, when x = 3, y = 1

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A: GivenCentre of the circle is 2,32 and radius of the circle is 52   We are required to findPolar…

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A: Given Cost and Price (demand) functions Cq=100q+45000 and pq=-2.9q+800. To determine the profit that…

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Q: - See figure below. Suppose that from 10:00 A.M. to 12 noon the rate at which the reservoir supplies…

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Q: Let h(t) = 5t³.2 — 2t-3.2. 2.2 6.4 + A.2 Then h'(t) is 16t h'(3) is 179.44868179 h"(t) is and h'(3)…

A: h(t)=5t3.2-2t-3.2d dt(tn)=ntn-1

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Q: 4x+7 f(x)=7x-4 g(x)= e) Find (f+g)(4). (f+g)(4) = (Type an integer or a simplified fraction.) ) Find…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the Derivative for the following functions ( 1) y=e6x² 2) f(x)=(x²+2)e*

A: To find the derivative of the following functions. (1) y=e6x2 (2) fx=x2+2ex

Q: Suppose that the cost function for a product is given by C(x)=0.003x³ +5x+10,629. Find the…

A: Given cost function C( x )= 0.003x3 + 5x + 10629

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Q: Given G = xey-z^2, x = 2uv, y = u-v, and z = u + v, find the following using the Chain Rule when u =…

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Q: +9 2 + + 614 + Or | S + ||

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Q: Evaluate the following Indefinite Integrals: (x − 1)²e* dx - S ✓cos x sin³ x dx / 5x+1 (x + 2)(x² −…

A: Given: (1)  ∫x-12exdx (2)  ∫cos x sin3x dx (3)  ∫5x+1x+2x2-2x+1dx

Q: 3) (0) 3x²2 4) y = 5x² +3e' + 2e

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Q: What is the slope of the line tangent to the graph of y=tan(x) at x = 1? The slope of the tangent…

A: Here is the solution:

Q: 8) Use the information below about the functions f,g, and k to answer the following questions. 1 2 3…

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Q: Q1 Fill in the Blank a. When yo are given two sides and the angle opposite from one of the sides,…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: answer

A: Coterminal angle c) This is when two angles have same terminal form.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = x² cos x, n = 2₁ n = 2, P₂(x)…

A: We know that the 2nd degree taylor polynomial is given as:P2(x)=f(c)+f'(c)(x-c)+12f''(c)(x-c)2

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Q: Question 22 The graph of y = -tan (+7) has an asymptote at a = -37. O True False answer as sin (sin…

A: Please see the below picture for detailed solution.

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Q: 7) Find the amount an investment will grow to if $20,000 is invested in an account that earns an…

A: given invested amount is $20000rate is 3%time=6 years formula for compound continuously A=A0ert

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Q: 4. Determine algebraically the equations for two lines that are tangent to y = 3x² - 24x + 50 that…

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Q: Starting with the graph of a basic function, graph the following function using the techniques of…

A: Solution: Given function, f(x)= -(x+1)3-3

Q: Direction: Find the complete solution of differential equation and use typewritten.…

A: The answer is in step2.

Q: Find the artied mainly do the Чтоза g(x) = 4x6 e

A: To find the critical points for the given function

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Q: Intermediate Value Theorem. Using the Intermediate Value Theorem, verify that f(x) = x³ − 3x² − x +5…

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Q: 11. Let f(x) = x(x − 1)³ (x + 2)² a) Find the degree of the polynomial f(x) b) Find all zeros of…

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Q: Consider the complex numbers z1=2∠115∘ and z2=2∠175∘.Find r and θ (in degrees, between 0∘ and 360∘)…

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Q: The function f is defined as follows. -3x+5 ifx<1 if x21 (a) Find the domain of the function. f(x) =…

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Q: In Exercises 17-48, use L'Hôpital's Rule to find the limit. You may need to use L'Hôpital's Rule…

A: see below the answer and calculation

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Q: f = x² + xy = 8 ~3x²²+ x find the value of day when x=2 dx

A: We have to calculate double differentiation of the given function at x=2.

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A: To find: tan(arctan 25)

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Q: Test the series for convergence or divergence. Using the Root Test, we evaluate lim n→∞ Since the…

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Q: consider the function y=5x^2+20x+10. Can you find P & Q such that the tangent lines to these points…

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Q: Find (f¹) (-2) if f(x) = x³ + x - 4. (f¯¹1) '( − 2) = | (Simplify your answer.)

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