A. y? = 1+ a? + 22 C. a² + y? = z? %D B. y? + 22 = x? D. 22 = 4+ 4x² + 4y? %3D

Q: S tan-1(bx) dx

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Q: Find the solution of the following Differential Equations 8) y-2y'+2y = 2e" cos(x)

A: The given DE is: y''-2y'+2y=2excos(x) Now, the homogeneous form of the given DE is: y''-2y'+2y=0 The...

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

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Q: (2+3i '8+i Evaluate the expression Express the answer 1+2i) rectangular form.

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Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: 4. y = 2x – x², y = 2x2 – 4x |

A: Since you have posted multiple questions i can do first question (no.4)as per our company guidelines...

Q: 2xy cos(x^2) - 2xy + 1]dx + [sin (x^2) - x^2]dy = 0

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get rem...

Q: How did he get this amount please explain step by step and clear line please (Sin'o -cos'o ) do 4sin...

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Q: 2. Show that the equation 2x + cosx 0 has exactly one real root.

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Q: A chemical substance has a decay rate of 9.5% per day The rate of change of an amount N of the chemi...

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Q: Find the first derivative of 2cos(2 + x³). a. -6x² sin(2 + x³) b. -x² (sin 2 + x³) c. -6x² (cos ...

A: daf(x)dx=adf(x)dx ; where , 'a' is constant. dcos (ax)dx =-a.sin(ax) dxndx=n.xn-1 . 

Q: 4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

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Q: S 3rsinh (x²) cosh(x²)dr

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Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: Given: g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 Find (1) the derivative with respect to x and (2) th...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: We have to find w vector for given condation.

Q: fV5+ 4x – x² dx

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: 4. у%3D 2х—х2, y = 2x² – 4x

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Q: Find the area of the region.

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Q: Find the area bounded by y = 2 -x squared and y = x A 9/2 7/2 5/2 3/2

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: у%3D 2х — х", у%3D 2х — 4х -

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Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number betw...

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Q: {n(-1)"+2}ñ=o 2200 n=0

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Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

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Q: 2n + 1 n -1 n tan n=1

A: Find the limit of the given equation at infinity.

Q: An old tire is deflating initially at a rate of v(t) = \E + 2 where v(t) is its volume in in' at any...

A: To find out the instantaneous volume at 1 hour.

Q: 4. S sec*(8)dx

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Q: path. How fast is the tip of her shadow moving when she is 35 ft from the base of ed of 4

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Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: 6. On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel...

A: 6) Given that the rate in tons per hour at which unprocessed gravel arrives at a gravel processing p...

Q: Find the area enclosed between the curve y = 9- x squared and line y = x + 7 A 2.5 B 3.5 4.5 5.5

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Q: 1 dx csc³(5x)

A: This question is based on indefinite integral.

Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x /2...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Construct a truth table to show that (p Ag) → p is a tautology.

A:   p q (p ∧ q) p (p ∧ q)→p T T T T T T F F T T F T F F T F F F F T  

Q: 2. S sin° () dx

A: Integration

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =...

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v ort...

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identif y the u and find du. 1. fa cos² 2t dt 4...

A: 1). Given; I=∫cos22tdt  ...1   We know that; The trigonometric identity: cos2x=2cos2x-1 And ∫11+x2dx...

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x – 8y + z = 6 x + 2y + 7z = 1 O...

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Q: f(x) : x?

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Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 4 seconds. F...

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Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 9k w = i+ 3j + 7k Find the ...

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Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the v...

A: Volume of the parallelepiped is 238 cubic units. 

Q: 1 SC — х - —dx 2 csc - xdx= rdx32 2 2 A) True B) False

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Q: Finda the area bounded by the given curves/lines. Sketch the graph of the curve and the plane region...

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