3 Find the limit: lim t 3 et – 1 - (Enter undefined if the limit does not exist.)

Q: tan zdr

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 3 TO 57 3 2. 3…

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Q: Find the derivative of the following functions and simply it whenever possible. 10. y = x4(1-ln x4)

A: Let's find.

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j +…

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Q: At the hummingbird food factory, hot water containing 1/3 of a pound of sugar per gallon of liquid…

A: answer is in next step

Q: 58. y dA y x= y- y³ y= (x+ 1)² -1 -1

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Q: 5 Given the function f (x,y) = which ONE of the following statements is C /x+y2 O A. f is only def…

A: function is defined for  x+y2 >0  y2 > -x

Q: 4. Determine the general equation of the plane containing the points P(1, -4, -5), Q(2,0, 13) andR 3…

A: Follow the procedure given below.

Q: x dx 13. S (6х-x2-5)2

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Q: Let ū and v are unit vectors such that the angle between them (when joined tail to tail) is 30°,…

A: Find your answer below

Q: Given f (x,y) =4e* In y with x = In(u cos t) and y = u sin t. The correct value of dz is given by…

A:

Q: | sinh$4x cosh 4x dx can best be evaluated by General Power Formula. A True B False

A: Explanation of the answer is as follows

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: x²– y² )² Consider the function f (x.y) =| x²+y², Which ONE of the following statements is TRUE? O…

A: We will find limit at (0,0).

Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

A:

Q: Find the distance between the skew lines: y = 1+3t, y = 9, x = 3 + 8t, z = 4 – 9t x = 5 – t, z = 4+…

A: Given equation of line L1: 3+8t   , y=1+3t   , z=4-9t L2:   x=5-t  , y=9   , z=4+8t

Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

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Q: Consider a triangle ABC like the one below. Suppose that a=50, c=68, and A=26°. (The figure is not…

A: Consider a triangle ABC like the one below. Suppose that a=50, c=68, and A=26°.To solve the…

Q: Consider the following function. f(x) = 3 − |x − 2| (a) Find the critical numbers of f. (Enter your…

A: The given series is: f(x)=3-|x-2|      =3-(x-2); x≥23-(-(x-2));x<2      =3-x+2; x≥23+x-2,x<2…

Q: Given two vectors ữ and i that form an angle of 60 degree when joined tail to tail. And given that |…

A: Let's find.

Q: sin (2t + 1) - dt cos? (2t + 1) 31.

A: Use trigonometric substitution method for solving the integral.

Q: The percentage of male workers who prefer a female boss over a male boss increased approximately…

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Q: Evaluate the iterated integral. 5 dy dx dy dx i

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Q: Given the differential equation y' = 4x y Find the next two Implicit derivatives of the differential…

A: The given differential equation is y'=4xy ............................................. (1)…

Q: 2. The acceleration function (in m/s?) and the initial velocity are given for a particle moving…

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Q: need

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Q: Question Use the first derivative test to find the location of all local extrema in the interval…

A: f(x)=-2(4x-5)e4xConsider…

Q: cosßdß 2+3sinß

A:

Q: Which of the following is one of the correct steps to evaluate | cos'x dx to obtain the desired…

A: Solution :∫cos7xdx∫cos6xcosxdx∫cos2x3cosxdx∫1-sin2x3cosxdx

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function is;  f(x,y,z)=xyz x2+y2+z2=243.

Q: QS. Find if y = vcos x- 7*

A:

Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x= u + v) X…

A: x=12(u+v)y=12(u-v)u=x+y, v=x-y(x, y)=(0, 0): (u, v)=(0, 0)(x, y)=(1, 1): (u, v)=(2, 0)(x, y)=(-1,…

Q: Consider the points A(1,-5), B(-1,3) and K(4,-2) in 2D. A. Determine the vector AB B. Determine the…

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Q: Consider the function g(0) = 3 · cos 2 a. What is the amplitude of g? Preview b. What is the period…

A: This is a problem related to trigonometric function. Based on the general formula we will answer the…

Q: If z=x²sinh then дхду O A. (-x³– 3x²y+2xy² – 32x) / 16+x²- 2xy + y² (16+x²-2xy + y²) ² O B. (x³–…

A: Given  z = x2 sinh-1x-y4 We have to find  ∂2z∂x∂y.

Q: 5. S cot³ (40) /csc(40) de

A:

Q: Vx2 – 4 dr lx x3

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Q: Find Duf at P. 2 + 2. 5,3 4 f(x, y, z) = 6x³y°z*; P(1, – 2, 1); u = Duf i

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Q: Consider the function f(x)=x^2−4x+1 on the interval [0,4]. Verify that this function satisfies the…

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Q: 2 : Let S be a closed surface enclosing a volume R. Let F = fVg, where g(x, y, z) is a harmonic…

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Q: Integrate the vector field over the curve C. F (x,y) =(y+1, 2x) C: x=4t, y=t², 0<t<1

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Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: (a) If = cos (2x), then y= xp (A)cos (2x)+C cos* (2x)+C (C) sin(2x)+C 2. 2. 2. (D) sin (2x)+C (E)…

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Q: Using partial fractions, we can rewrite the equation as 1 dN = dt rN 50000r - rN dN Or rN 50000r –rN…

A: Here we have to use the concept of integration.

Q: 3. (LO 4 & 5) Suppose we know that: § f(x)dx = 3.5 and g(x)dx = -2.1 Use this information to find:…

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Q: tind the first three nonzero terms in the Maclaurin Series of Flx) = tan %3D

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Q: 1. Fill in the blank. (Note: We use letter w for the first substitution) dy a. The linear…

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Q: 2 y 本 -4

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Q: Current Attempt in Progress Let a = ci + j and b = 8i + 24j. Find c so that a and b are orthogonal.…

A: for orthogonal of vector dot product of vector is 0 a*b=0 (ci+j)(8i+24j) = 0 8c +24 = 0 8c =-24 c…