1. Find the order and degree of the differential equation: dy +5 dx 4 14 sin x. dxº

Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: The demand function for a company's product is p 24e-0.99 where g is measured in thousands of units ...

A: Given: p=24e-0.9q  

Q: f (t) = 7e – 2t sin(3t)

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Q: Compute the indicated derivative. U(t) = 5.9t2 + 5.9; U'(4)

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Q: Find the limit, if it exists: (Do not use L'Hospital's rule) 94x2 + 19x + 5 lim x→00 182x25 + 3x – 9...

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Q: Let f be a differentiable function. If f(50) = 378 and f'(50) = 6, use a linear approximation to est...

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Q: The number of a particular fish in thousands x years after 1971 can be modeled by f(x) = 230(0.888)*...

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Q: Given the differential equation y" - 3y' = &x2 + 7x – 11 Determine the Characteristic Equation for t...

A: here we have to find characteristic equation and solutions of given differential equation.

Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=²; y=vx; dy=vdx+ xdv

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Q: 94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...

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Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

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Q: A company's total cost, in millions of dollars, is given by C(1) = 130 -60e where t is the time in y...

A: The company's total cost, C(t)=130-60e-t

Q: Find the equation of the line through the points (,-2) and (-4,-1). Write your answer in the form y ...

A: We need to find equation of line.

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: h" (t) = sec? t – Vt, h(0) = -3, and h'(0) = 3. %3D

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Q: Determine the derivative of f(x) = 3 x² In x with respect to x. f'(x) = |

A: We have to find f'(x)

Q: dx Evaluate – 12x - 12x dx 12x - 12x

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Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, , 5x -2y' 2. The functio...

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Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

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Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exp...

A: Let's find. 

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: topic - application of derivatives

Q: Integrate the function f (x, y) = 3xy over the region bounded by y = 32x2 and y = √x

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Q: 4 Suppose that f(1) = 9, f(4) = -7, f'(1) = 6, f'(4) = -1, and f" is continuous. Find the value of :...

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Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

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Q: An investment firm expects the price of the Campbell’s Soup Company stock to increase via P(t)  =  P...

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Q: Kay. Based on where Paolo landed, police accident investigators would like to know how fast the car ...

A: Let f be a function  of any variable say t be the variable.  Let f(t) be a function of variable t an...

Q: 3. The function f(x, y)= 8x' - /4x° +3y° is homogenous in x and y of degree 4. The function f(x, y) ...

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Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)?. 7-6 sin? x...

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Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative a...

A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) = 7...

Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was e...

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Q: Consider the double integral •3 cos (a2) dx dy 3y COS

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Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: Find the limit of the infinite sequence. 27,93 1 1 Enter dne if the limit does not exist. If the lim...

A: Given query is to find the limit of the sequence.

Q: Question 23 Give the coordinates of the center of the circle with the equation x²– 6x + y²=12-4y. Bl...

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Q: 1. y'dx- (xy + y² }dy = 0 Let the substitution y=2; y= vx; dy =vdx+ xdv %3=

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 4922 – 75x – 19 – 4x Find the limit, if it exists: (Do not use L'Hospital's rule) lim x-00 86x + 7 N...

A: Here we have to find the limit.

Q: Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United...

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Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by...

A: Area of parallelogram of the vectors a and b is a×b.

Q: 12. The volume of a spherical cancerous tumour is given by the function V(r) = {ar³, where r is the ...

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 2. The function f(x, y)=...

A: We have to find degree of homogeneous function

Q: [ tam2 tam 2 sec 2 Bd ß

A: Given that: ∫5tan2β.etan2βsec22β.dβ

Q: y = Vx (x – 1) u = i + ī + 4/15 y = f (r² + t + t')

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Q: [5tan 20 elan 28 sec? 2 Bd B 1.

A: Gievn, ∫5tan2βetan2βsec22β dβ We can solve this by substituting u=tan2β  

Q: 4х + 3 dx x2 +1

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Q: Find the Taylor series expansion of f(x) = x – x³ at a = -2 Select the correct response: 6 – 11(x + ...

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Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function f(x...

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Q: Let f(x)=2x2+12, and let   r(x)=sqrt(9x) for x>0. Find a simplified formula for the composite functi...

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Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length...

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