Sketch a graph of a function f that is continuous on (-∞0,00) and has the following properties. f'(x) >0 and f''(x) > 0 on (-∞,2); f'(x) > 0 and f''(x) <0 on (2,00) Choose the correct answer below. O A. Q E O B. Q Q E OC. Q Q OD. Q 5

Q: Let x, y, z be (non-zero) vectors and suppose w = 12x + 6y + 4z. If z = -2x - y, then w = 4 ✔B.…

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A: Given f be a function with 2+3i as the only singular point of it. If f is a removable singularity of…

Q: 6. Find the volume of solid generated by revolving bout the y² = 4x, x = 0, y = 4 about y = 4.

A: Given curves are, which generate the solid y2=4x, x=0, y=4   Graph is Since y2=4x⇒y=4x

Q: A) The complex numbers is a 2-dimensional R-vector space. B) The set of invertible 2 × 2 matrices…

A: As per our guidelines we are supposed to answer only 3 subpart here first 3 subpart answered.

Q: Answer the following questions for the function defined on the interval [-5, 7]. a.) f(x) is concave…

A: From the above details we have,

Q: Consider the following nonhomogeneous heat boundary-value problem (BVP): u, (x,t) u (x,t) + cos x,…

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Q: 41. Find the value of x. to 150° 34°

A: Formula:  The external angle is half the difference between measure of intercepted arcs.

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Q: = (k₁) be an m x n matrix with scalar entries. For x € K", let Mx € K™ be defined as n Mx(i) = Σkjj…

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Q: 6 x== If a region is bounded by y, x = -y, y = 1, and y = 3, find the definite integral that will…

A: Let us solve the definite integral problem in the next steps.

Q: Six college sorority sisters-Summer, Autumn, Wynter, June, April, and January-got together for their…

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Q: bounded by the parall tus rectum. bounded by the parall axis.

A: Given as, The parabola y2=8x  latus rectum (x=2)

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A: This is a problem of the Volume of rotation.

Q: 3. A) Evaluate the triple integral xdV, where E is the solid region bounded by the cylinder 4 = y =…

A: 3.A.The given integral is      ∫∫∫E x dV , E is the solid bounded by x2+y2=4, z=0, y=3z, x=0 and in…

Q: 119s³-235s²+84s-90- (s3-3s2)(3s+5) . L−1[1195³.

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Q: Select the following functions that are bijective. ƒ₂: R → R, ƒ₂(x) = 14 f₂: R → R, f₂(x) = x f₁: R…

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Q: (a) If the graph is a polynomial, determine the minimum degree of the polynomial. (b) If the graph…

A: Please see the attachment

Q: Find the Future Value FV of  investment loan of $35,000 at 6% monthly interest, monthly payments of…

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Q: Approximate (1.999) by using linearization.

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Q: (a Question 4: Let E be the solid region of integration of (b) 15 (x + y) dy dz da Sketch each of…

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Q: 3 where do the curve of y = cosx and y = x³ -1 intersect?

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Q: Find the volume of the solid enclosed by y = x² + 1, y = 9 – x² and rotated about the y-axis.

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Q: (a) Use differentiation to find a power series representation for f(x) = co f(x) = Σ n = 0 What is…

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Q: Let A = -4 -12 4 12 Let B = 1 3 -5 -15 Find k such that KerA is a subspace of Rk 1 Find k such that…

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Q: Romberg integration for approximating f f(x) dx gives R₂1 = 2 and R22 = 12 then f(0) = O 14 O 4 O…

A: Here given integration as ∫-11fxdx and given R21=2, R22=12 Now, According to Romberg integration for…

Q: Does the series k=1 O converges absolutely O diverges Does the series converges conditionally 1 k6+5…

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Q: . Using Green's theorem, show that the area of a plane region in polar coordinate is 1 $ C r²do.…

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Q: b. L-¹ [+1) s3-1-

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Q: (3-zi) (x+y)=3+2i +ゾー

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Q: Match each ODE with the graph of its solution. Remember the transient solution of underdamping has…

A: Please see the attachment

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Q: Set-up the definite integral that would compute for the Moment of Mass about the x-axis of the…

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Q: 10. Find f'(x), f"(x) and f f(x) dx for the following power series a. f(x) = 1 n-³ xn b.Σ=1 (x-1)+1…

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Q: Simplify the following without using the Conjugates of the denominator 1-). 25 3-) 3+41 2-) 10, 3-1…

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Q: Determine the intervals in which solutions are sure to exist. t(t-6)y(4) + ey" + 10t²y = 0

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Q: 1 n (Inn) ³/ Σ(-1)". n=3 3/2

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Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given curves are y=x2-3x y=x3+x2-12x Take  y=fxHere,   fx=x2-3x y=gxHere,   gx= x3+x2-12x

Q: Use the data provided to find values of a and b satisfying a² = 6² (mod N). Then factorize N via…

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Q: Taylor polynor Estimate the e approximation

A: In mathematics, the Taylor series of a function is an horizonless sum of terms that are expressed in…

Q: Consider the linear application application "(ar³ + bx² + cr + d) = 3ax² + 2bx+c. T: R₂[1] → R₂[1]…

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Q: Let P be the statement: If x > 3, then x² > 9. Which of the following statements is the…

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Q: Find the general solutions of the linear, homogeneous differential equations subject to the given…

A: Given DE is y"-3y'-4y=0 .......(1)  y(0)=4,y'(0)=1

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Q: The total sales of the fertilizer plant are R = -2Q3 +12Q2 + 72Q, R = total sales (in billions), Q =…

A: It is provided that R=-2Q3+12Q2+72Q, where R is the sales corresponding to the quantity Q. We need…