Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X→ー0 f(x) = –3x* Provide your answer below: lim f(x)= lim f(x)= x 00 X -00

Q: The graph of a periodic function f is shown below. 3| f(4) 1.57 3.14 4.71 6.28 -2 -3 a. What is the…

A: a.according to graph peroid=1.57=π2b.Amplitude =2--22=42=2

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

A:

Q: tan zdr

A:

Q: Consider the function f (x,y) = Which ONE of the following statements is TRUE? O A. f (x,y) exists…

A: This is a  problem related to limit and continuity of the function. Based on the general formula we…

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: Solution :let,y=limx→0+cosecxsinxtake log both…

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1> %3D %3D 1 1) Determine the unit…

A: Here, the given vectors are: A=0,4,2, B=6,-1,0  C=3,0,1

Q: 6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes…

A: the solution is as follow

Q: 25% of the initial intensity I.

A: answer is in next step

Q: 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3°, where t is given in…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: (-1)" V2n2 + 5 Given: power series (x + 1)" n=1 Determine if the resulting series of constant terms…

A:

Q: Consider the function below. f(x) = 4/x^2+49 On what interval is the function f concave-up? On…

A: Given

Q: Approximating the sum of an alternating series. If the alternating series (-1)"+'b satisfies the…

A:

Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

A:

Q: If cos(0) = 2, and 0 is in Quadrant II, then what is sin (:)? Give an exact answer, using radicals…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Given

Q: (-1)"12"" n² +3 Determine the interval of convergence of n=1

A:

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A:

Q: The value of Hhe limit lim Š I tan 40n bebow the graph f a fumctuon floc) lon't evaluate is ko Ghe…

A:

Q: Find the gradient of the function at the given point. In(x2 - y) - 2, (2, 3) Z = Vz(2, 3) =

A:

Q: 1 Let f (x,y)=In . Then f „(1, – 1) =...... 3x²+4y3 XX

A:

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

A:

Q: (a) A spring exerts a force of 12.8N when stretched 1.6m beyond its natural length. Assuming that…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Find the surface area of the sphere x^2 + y^2 + z^2 = 100 that lies above the cone z = sqrt(x^2 +…

A: We need to find surface area.

Q: dy y3 , У (0) : 1 dx 1– 2xy2

A:

Q: C. Determine the Laplace transform of the following function f(x) = x2 1. f(x) = e", a E R 2.

A: Solved below

Q: A (R - 5) Given the power series E (n - 3) A, xla - 5) n = 2 Use the technique that we covered in…

A: Here, the given series is: ∑n=2∞(n-3)Anxn-5...(1)

Q: Find the general solution of the given differential equation. y dx - 5(x + y') dy = 0 x(y)

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

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4, -3, 5)…

A: topic - equation of a line

Q: Consider a triangle ABC like the one below. Suppose that a=12, b=39, and c=29. (The figure is not…

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: CoS“ n In n а. n2 n³ n=1

A: Solution: a) ∑n=1∞cos2(n)n2+ln (n)n3

Q: Consider the ellipse with the given characteristics. foci: (0, 0), (0, 10); major axis of length 18

A:

Q: Let a Consicler the matrix 4. A= S23 87.3. Find Mz, C1z and Mzz, Czz

A: Given,A=214523873If A=a11a12a13a21a22a23a31a32a33ThenM12=a21a23a31a33 And C12=(-1)1+2M12 And…

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. NAA 4- 3 37 2 4…

A:

Q: 5. y = Arctan²(x³) 2х-1 6. y = Arccos 3x+1/

A:

Q: Given the power series 2 2n A x(n + 3) n = 0 Use the technique that we covered in this unit to Shift…

A: To shift the index of the power series use the substitution n = R - 3

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

A:

Q: The non-homogeneous differential equation P(D)y = cos(2x ) has associated the characteristic…

A: I am attaching image so that you understand each and every step.

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

A: Let's find.

Q: Th CRan 2.

A: Follow the procedure given below.

Q: | sec(/I) tan(/) dr

A: We need to solve integral.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: əz Use chain rule to find at where z = e2" sin (30) and r = st – t², 0 = Vs² + t². %3D

A:

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

A:

Q: 5. v(t) = t2 – t – 12 is the given velocity function in feet per second for a particle moving along…

A:

Q: Convergence of Sequence. For each of the sequences below, enter either diverges if the sequence…

A: Here we have to find whether the given sequence is converges or diverges.

Q: Given f (x,y) =4e * In y with x = 3x In (u cos t) and y = u sin t. The correct value of dz evaluated…

A: option (B) is correct see below the calculation

Q: Find the Laplace Transform of the following: 1. g(t)=t cos7t

A: