Simplify (x) and find any vertical asymptotes. x²_ 4 f (x)= x+ 2

Q: Find the tangent and cotangent of 195". Note that 195 = 150 + 45. Use sum or difference formulas…

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Q: solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

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Q: 1. Given: x(x+8)(x – 2) (x+ 2)³ 8(7x – 4) (x+2)ª ° f(x) = (x+ 2)² ' and f"(x) = with f'(x) = d.…

A: Function is undefined at x= -2   Interval f' (-∞, -8) +ve -8 0 (-8, -2) -ve (-2, 0) +ve…

Q: A2. If y = In10 10* then y'= %3D (a) x. 10*-1 (b) x10. In10 (c) 1 L 10* Ina

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Q: 6. gx) VX- 3 at x = 4 三 7 g(x) at X = 8 三 e1 gCX)= n4ーメ at x =0

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Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim xn = inf {xn…

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Q: Solve the following differential equations using the method of undetermined coefficients. y" + 4y' +…

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Q: Let I = / (7x + 14y²) dA where %3D D is the region between y = 3x² and y = 12. a) Sketch the region…

A: see below the answer and explanation

Q: d (cosh* 3x– sinh* 3x)= In(x + Vx² -1). -1 (b) Show that for x 2 1, coshx- - dr

A: This is a problem of trigonometric hyperbolic inverse identity. Based on the fundamental formula we…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

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Q: Consider the following. u = 5i + 4j, v = 31 + 2j (a) Find the projection of u onto v. 33 3i + 2j 13…

A: u = 5i +4j v= 3i+2j   a projection of u onto v  = (u*v)v/|v|2 u*v = 15 +8 =23 |v|2 = (32+22)2 = 13…

Q: wane lenit oy al o The curve y = x², 0<x<1, is rotated about the y-axis. Find the area of the…

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Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows

Q: a+sinx If the function f(x) is continuous at x-0, then a = 2+2acosx x<0

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Q: The equation 0-10x+5= 0 does not have a root in (0, 1) Select one True False

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Q: Arctan'ax dx= b Arctan"3x +C , what is b? 1+9x²

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Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

Q: where's the answer?

A: Apologies for the inconvenience. The given limit is limx→99-xx-3. We have to evaluate it.

Q: Find the tangent plane to the equation z = - 2a2 – 3y? + 5y at the point (– 4, 4, – 60) | Z = 16x…

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Q: 4) The domain of f(x) = 4 cos-(3x- 1) + 5 is 3) If f(x) = 1+ x+x? then f-1(1) = a) 1 d) 2 e) non b)…

A: Since you have posted multiple questions i can do first three questions as per our company…

Q: f(x, y) = R is the rectangle bounded by +1 -5<x<5 and 0<y<1.

A: Given function fx,y=1ex2+1Region R is bounded by -5≤x≤5 and 0≤y≤1.Surface area of over region R is…

Q: Find the area of the parallelogram that has u = 2i – j + 2k and v = 2j + 3k as adjacent sides. NOTE:…

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Q: 3. Find the Volu me oF the (olid generated by revoluin g ab out the y-axis the region bounded the…

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the…

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Q: u = 5i + 4j, v= 3i + 2j (a) Find the projection of u onto v. (b) Find the vector component of u…

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Q: 6. Find the area under the curve f(x) = 4x + 2 over the int erval [1,5]

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Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: This question can be solved using the concept of equation of line in 3D geometry.

Q: x + 6 x - 3x - 54 52. f(x) = %3D

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Q: (5* )csch x²+1 dy if Find dx 1. (a) y = x >0. (ecosh 5x) In Vx +1 )

A: Find your answer below

Q: Evaluate the following integral using trigonometric substitution. dx b. S V(5+2x+ x²)5

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Q: Draw a function f(x), defined for all real numbers x, with one local maximum and two local minimum.

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Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: x+2 lim sin - x+6x+8 3 2.

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Q: Solid created from these conditiong limited to 0eyet fiest actant on ly Positive xy-plane

A: y=xx=y2,0≤y≤10≤x≤y2z=1-yy=1-z0≤y≤1-z,0≤z≤1V=∫01∫01-z∫0y2 dx dy dz

Q: 2. Apply Maclaurin's series to obtain the first 5 terms in the series for e ,

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let's find.

Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

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Q: Determine whether the lines are parallel or identical. x - 3 y + 8 z + 7 5 y – 1 _ z + 22 4 -3 x + 9…

A: The given two lines are                 x-34=y+8-3=z+75 and        x+9-8=y-16=z+22-10 We first find…

Q: Find the x-coordinate of the inflection point(s) of y = f(x)

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Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 60 O a.…

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Q: dy +y= y2 sin x

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Q: Make a sine wave model of a musical note with a frequency of 340 cycles per second. Use an amplitude…

A: Find your answer below

Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

Q: 10. * -1 x CSc

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Q: Find the relative maxima and minima of y by the second-derivate test: y= x^3+6x^2+

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Q: Find the area bounded by these curves. (All choices are in sq. units) Y1 = (x – 2)? Y2 = x

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Q: Calculate the indicated Riemann sum Sz for the function f(x) = x - 9x- 22. Partition [0,6] into…

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Q: I. Let J = x²y dA where D is D the region bounded by the x-axis, y = x' and x = a) Sketch the region…

A: Use shaded region to evaluate the answer