f(a)'() マxtる %3D

Q: Find the general solution of (3xy-y²)dx-(x²-xy)dy=0

A: As the equation is homogeneous , put y=vx and solve .

Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: Find the curvature of r(t) = (9t, t2, t) at the point (9, 1, 1). Need Help? Read It Watch It

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Q: Given the force fieid F, find the work required to move an object on the oriented curve. F= (y, z,…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given query is to find rate of change of volume.

Q: a)Write an equation for a degree 3 polynomial that has zeros at x = -2, x = 1, and x = 4, as well as…

A: We are allowed to solve one question at a time. Kindly repost other problem in next questions. Thank…

Q: Quèstion 5 The integral tan-1x dx is equal to ONE of the following. 2 (HINT: Use Maclaurin series) I…

A: Explanation of the answer is as follows

Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

Q: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

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Q: 5. A squirrel runs along the edge of a fence. The graph of the squirrelľ's velocity v(t), in m/sec,…

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Q: Use l'Hospital's Rule to calculate the exact value of the limit ) as x→ 0- Az) fX) = e -1 and g(x) =…

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Q: Find the following sum, if it exists. 0.4 + 0.0080 +0.00016 + .. Select the correct choice below…

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Q: The sales of a new high-tech item (in thousands) are given by S(t) = 94 - 90 e-0.2t where t…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

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Q: Find the equation to the line below. y = [?]x Enter + or - to indicate if your answer is positive or…

A: As we know that; The equation of the line when it passes through the two points x1,y1 & x2,y2.…

Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: 8 sin z 6 sin z + 4 cos a Let f(x) = Then f (2) = The equation of the tangent line to y = f(x) at a…

A: Given: f(x)=8sin x6 sin x+4 cos x f'(x)=(6sin x+4cosx)d(8sin x)dx-(8sin x)d(6sin x+4cosx)dx(6sin…

Q: 7.4 Partial Fractions 11.10 Taylor and Maclaurin Series Find the Taylor series for f(x) centered at…

A: We are given f(x) = 8x - 3x3 We have to find taylor's series expansion of f(x) centered at a=-2 and…

Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative

Q: )Lim. 2. H-HCOSX-2Sin x

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Q: Sketch the region enclosed by y = 7x and y = 3x". Find the area of the region.

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: This question can be solved using the concept of compound interest.

Q: Select a scatter plot of the given data. 4% 6% 8% 10% 12% 14% t 28.01 18.85 14.27 11.53 9.69 8.38 90…

A: topic - exponential decay function

Q: dy find .2. 4 If y= 2x+ at x= 1. dx dy at x = 1 is The value of (Simplify your answer.)

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Q: Given f(z, y) = – 3z' + ry° + 5y², find fr(x, y) = | fy(z, y) = |

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: SX³V1+ 4x2 dx .3

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Q: 17. Use L'Hôpital's Rule to evaluate the limit lim(x)1/x). Write oo if the limit is infinite.

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

Q: Find and evaluate the sum. 4 k Σ k+4 k = 1 4 k Σ k+4 k = 1

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Q: COS X To check for the result, prove that CSC X+ 1- cos x xp Evaluate the lee cida nE the onuntion

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

A: Let's find.

Q: Find the slope of the tangent line to the curve la? + 4xy – 2y = 185 at the point (- 3, - 4).

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Q: Find the length of the curve 7 (t) = (3 cos(t), 3 sin(t), 5t) for – 4 <t <1 Give your answer to two…

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Q: (a) Let L and L'be two lines in R3 L: L': = Y=2 = 2=5. Determine if the lines intersect at a point.…

A: We need to choose correct option.

Q: f(x) dx – f(x) dx = f(x) dx a = and b =

A: Given query is to find the value of a and b.

Q: ner to integrate with respect to x or y. Draw a typical approximating rectangle. y -10 - 10 -5 5 10

A: We have to choose the correct option from the given options according to the given information

Q: 9. f(x) = (x² + 3x + 1)100 %3D

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Q: Use the quotient rule to find the derivative of 3 sin(2) – 10 925 – 9 You do not need to expand out…

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Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

Q: Question 3 > Use part I of the Fundamental Theorem of Calculus to find the derivative of 14 dt f'(x)…

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Q: 5. Given R(t)= 2 sin ti+5 cos tj+tk. Find T (t) and N(t) of the mov by the given vector.

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Q: (a) Consider A B + X-1 7x2 - 17x + 38 C (x + 6)(x – 1)²- x+6 (x – 1)² (i) Use partial fractions to…

A: (7x2-17x+38)/[(x+6)(x-1) 2]=A/(x+6) +B/(x-1) +C/(x-1) 2

Q: the side length of the square pieces which are cut out. Find the value of x which gives by removing…

A: To find the value of x that gives maximum volume of box.

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: "en J(2, 9) 5y), find =(z, y) = (z, y) = -(z, y) = %3D

A: We wil find the second order partial derivative.

Q: 4. Find the divergence and curl of the following vector function: F(x,y, z) = ( arctan(ry),…

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Q: Use long division to divide. (5x - 12x? - - 4x + 3) ÷ (5x + 3)

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Q: x* (x – 1)? (x + 2) (x² + 1)* Calculate the derivative by logarithmic differentiation: g(x)

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