ху? dy dx x2

Q: Use the Root Test to determine if the series (-1)" 2'/m Σ en² (2n2 – 1)" | n=1 converges or diverges...

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Q: Determine the largest interval on which the differential equation (e - 1) y" + sin ty + cost y = 0, ...

A: First we find singular points.  Follow step 2,3 . 

Q: 3. Evaluate each definite integral by using geometric formulas. (a) 14.x – 12| dr dr (b)

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Q: If f(x) is increasing and f (x) > 0 on the internal K, then g(x) = 1/f(x) is decreasing on K. True o...

A: Given: f(x) is increasing and fx>0 on the internal K. If f'x>0 then the function f(x) is incre...

Q: dx Evaluate: x2+ 8x + 20 A In (x2+ 8x+20) B) None C sin -1 +C (D tan +C X+4 E tan +C F -sin 2 +C 2 2...

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Q: EVALUATE THE FOLLOWING INTEGRALS: (BY PARTS OR TIC TAC TOE METHOD)

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Q: Find f132 if f (y, z, x) = 3x?y³ + 6xz + yx³ %3D A. 9x?y + 23 B. 3x? + 6x C. 9a? y + 23 + 3yz2 D. 9x...

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Q: 1. The following picture shows a 5 x 5 square that has been subdivided in a particular way. A. Write...

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Q: 1.25 times ta

A: answer of given question is in step 2

Q: /2 Evaluate using Wallis' Formula: sin5 x cos6 x dx

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Q: 3 The point P(7, -3) lies on the curve y = 6 - x (a) If Q is the point x, 6 - find the slope of the ...

A: Given that the point P(7,-3) lies on the curve y=3/(6-x).

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about...

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Q: S 4 sec2x dx 2. tan2x+2tanx +5

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Q: 45 sy = +x +

A: answer of given question is in next step

Q: Solve the Lagrange's partial differential equation 2 z* p – xy(x² + yz)q = xz(x² + yz). 4

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Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: After 100 years, 1/32 of the original amount of a substance remains. What is the substance half-life...

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Q: Evaluate this function of z = cos x sin y; x = u – v, y= u² + v². Use chain - dz rule to find ди А. ...

A:   The given function are z=cosx siny; x=u-v, y=u2+v2.   Rewrite the given the function as follows. z...

Q: Find the equation of the graph of all points which are three times as far from A(3, – 1,2) as far fr...

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Q: Q5 A) Find IF y = cost and x = sint dx at P(1.2)

A: The solution is given in the next step.

Q: 5. A ladder 20 ft long leans against a vertical building. If the top of the ladder slides down at a ...

A: Given query is to find the speed at which bottom of the ladder is sliding.

Q: Σ -(2.r – 1)3". 14+1

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Q: Find S y? sin y dy

A: Given,            ∫y2sinydy

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

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Q: Given the graph of f(x), estimate the following.   (a) Is the graph increasing or decreasing? incre...

A: Given query is to find the read the graph and determine the unknown.

Q: (1+cot x) dx S- Evaluate: sin?x/9- cot?x

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Q: Find a mathematical model for the verbal statement. (Use k for the constant of proportionality.) Fo...

A: This question can be solved using the concept of changing proportional relations into equality.

Q: x? tan x² dx A True B) False

A: We know that eln xm= xm

Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4,6, 1). NOTE: Enter the exac...

A: Area of triangle is half of cross product of adjecent side of traingle.

Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact answe...

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Q: Find the equation of the normal line to the graph of el tan(xy) – In(æ? –- 3y) = sin (Tæ) at the poi...

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Q: Homing pigeonis avoid flying Suppose a homing pigeon is ed on an island at point C, which is 5 mi di...

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Q: a. How much Valium remains in the person's bloodstream 12 hours after taking a 10-mg dose? Round to ...

A: Equation is directly given so put the value and get the answer. In option c , first differentiate an...

Q: 7.) Find an equation of the tangent plane to the surface, x y(2z-3), at the point P(4,4,2)

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Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point (3,2V3).

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Q: The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general...

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Q: Closure: 1. The four functions defined below all have domain restrictions. Which of the functions ha...

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Q: -T/2 Evaluate using Wallis' Formula: sins x cos6 x dx

A: Use Wallis formula.

Q: S e'mx' dx Inx?

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Q: Find the arc length function for the curve y = sin+(x) V1-x² with starting point (0, 1).

A: As we know that; The expression for the length of arc of the curve is: L=∫ab1+dydx2dx The Power rule...

Q: Question 1 dx: A True B) False

A: The integration of the integral xsec(elnx^2)tan(elnx^2) equal to the integration of the integral is ...

Q: Find the derivative of the following function: g(b)=(3b-4)/(b+5)•(2b+5)

A: This question is based on quotient rule of differentiation.

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r

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Q: cos² 2t dt

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Q: There are 206 people who have signed up for cooking classes. If there will be 8 people in each class...

A: There are 206 people who have signed up for cooking classes. If there will be 8 people in each class...

Q: Find all critical values for the function f(x) = 10x – 30x + 5, and then list them (separated by com...

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Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x ...

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Q: -4 8-y y dx dy J2 y

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Q: If ƒ (x) = e*dx and f (0) =2, then what is f (2)? A e +2 В None e²+ 1 D E e² – 1

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Q: Binomial Distribution: (n = 6, p .2) Find (Use these data in Prob. 1-3) 1) Pr (r< 2) 2) Pr (r 2 1) 3...

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