Obtain the general and particular solution 4. xydx + (x² + y²)dy = 0

Q: fy re aris Find volume

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Q: Question 3: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x)...

A: The given function,    fx=x2-2

Q: Let the height of an object bef(t)=t2+2t−4f(t)=t2+2t−4. What is the instantaneous rate of change of...

A: Given query is to find instantaneous rate of change of the object at t = 2.

Q: Vector A satisfies the vector transformation law, A'=SA. Show directly that its time derivative dA/d...

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Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π4)=

A: Topic:- application of integration

Q: A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the s...

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Q: 8n5 + 3n Let an no +7 (a) Determine if the sequence an is convergent or divergent. O Convergent O Di...

A: Here, an=8n5+3nn5+7

Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

A: As per guidelines I can only solve first three subparts , remaining can be reposted

Q: Answer the following questions for the function f(x) = - 8x° - 36x? +240x – 11. ... a. Find formulas...

A: Topic = Derivative

Q: For each of the following functions, determine: (a.) the critical numbers of f (b.) all relative ext...

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Q: 12. Simplify the following rational expression for the function f (x) = 5x2 f(x + h) – f(x) h

A: Given f(x)= 5x² So, f(x+h)= 5(x+h)²=5x²+10xh+5h²  

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 3 %3D P4(x) ...

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Q: the derivative of y with respect to the given independent variable.   y=(sin5x)^6x

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Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the ...

A: Topic:- calculus

Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration 

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

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Q: Y zo when X-0 -h sin TRX

A: topic - integration 

Q: k-1 Since the series can be rewritten in the form > 4- (). it is a geometric series with: k=1 a =

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Q: Prove that n° + 2n is divisible by 3 for all n E N. Prove by induction that if p is any real number ...

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: Q3) Evaluate the following integrals: sec(tan-1x). tan³ (tan-1 x) A) y = S dx 1+x2

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Q: 18. Use logarithmic differentiation to find the derivative of y with respect to the given independen...

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Q: How to determine f(x) and g(x) for area between curves? So if I'm trying to figure out the area bet...

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Q: Given: C = 10 24° В a = 12 C Find the following item (nearest whole number and degree).

A: Find your answer below 

Q: uestion 1| a) Evaluate the average rate of change for each function over the given interval: i. f(x)...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: dx tan-를 (64 + x) +C 512(64 + x) 512 dx tan" (64 +x -C 1024 128(64 +x) tan + C 512(64 + x) -- (64 + ...

A: Find your answer below 

Q: Given that the height, s(t), (in feet) of a free-falling object is given by the formula: s(t) = -16t...

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Q: VI. Give the Maclaurin series expansion of f(r) = In(2 - 3). Determine its interval of convergence. ...

A: This is a problem related to expansion of the given function. By using taylor series at 0 point we w...

Q: From a window, the angle of elevation of the top of a flagpole is 25, and the angle of depression of...

A: upper triangle make 25' with top of flagpole so now using trigonometry use tan25 = (flagpole length ...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (- 1)*+1 3k Th...

A: The given series,       ∑k=1∞(-1)k+13k

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = r, and then find the nth Taylo...

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Q: Activity 3.3. Find the equation of the tangent line to the curve f at the given value of x. Show and...

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Q: n + 3 n- 1

A: Given query is to find the series converges or diverges.

Q: y – y = e3t y(0) = 1

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Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...

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Q: If f(t)=2t+sin(t) describes the length of an oscillating spring in m/s, what is the instantaneous ra...

A: Solution is written in below steps.

Q: 5. Classify each quantity as a Vector or a Scalar. Circle the correct response: a) a car drives 50 k...

A: Topic = Algebra

Q: dy/dx = 8y-1 a, Solve with separation of variables method b, Solve by integrating factor method c...

A: topic -  differential equation

Q: 2. 조우 X*-xy y-3 Find van d

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Q: dx x²Vx² – 49 FOTE: Enter the fully simplified answer with no fractions under the square root and wi...

A: We will find the integral. 

Q: Find two points where the curve x^2+3xy+y^2=47 crosses the x-axis. The tangent lines to the curve at...

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Q: One measure of living standards in country A is given by the following formula. L(t) = 5 + 4 e 0.16t...

A: Given: One measure of living standards in country A is given by the following formula.L(t)=5+4e0.16t...

Q: 15 10 5 -6 -5 -4 -2 1 1 23 4 56 -5 -10 -15 termine the equation of the polynomial, f(z), of minimum ...

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Q: Use the formula for the binomial series: m(m-1)..(m-k+1), (1 + x)" = 1+ mx + m(m-1)2 2! ... m(m-1).....

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Q: A space shuttle carrying humans and science experiments contains an air ratio similar to (but not th...

A: To find: The volume of oxygen is in the space shuttle. Given information: A space shuttle carrying h...

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle betwee...

A: 1) (1,2,3) and (1,0,0) angle cosθ = A*B/[A][B]            cosθ = (1,2,3)*(1,0,0)/(12 + 22 +32)(12 + ...

Q: Select all vectors parallel to the vector (1, –3, 5). O (2, –6, 10) O(-1,3,6) - 15 ? 5 )

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Q: z" + 6z' + 9z = e-4t z(0) = z'(0) = 2

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Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

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Q: A series has n-th partial sum given by sn = 9+2e . Calculate the sum of the series. an n=1 Σ an

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Q: the area between the curves y = x2 - 8 and y = 4

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