Determine the line tangent to f(x) = 2x2 + 3x + 1 at (-2, 3).

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Q: 7. Match the parts of a circle, • 1. A a. Radius b. Chord - 2. B c. diameter - 3. D d. Minor Arc •…

A: We Know that  The center of a circle is the point equidistant from the points on the edge. In a…

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Q: (a) Differentiate: (i) 7x2 + 14 (ii) e*(4x² + 3)

A: Since you have posted a multiple question according to guildlines I will solve first question(Q.a)…

Q: Table 1 37 69 85 102 106 112 38 70 86 104 107 112 35 41 70 101 105 109 117 36 42 75 101 105 110 119…

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Q: Tangent to the curve z? = 2xy + x² , z = 3 ,at the point ( 1, 4 , 3 )

A: Introduction: The tangent line (or simply tangent) to a plane curve at a particular position is the…

Q: 6. Find the value of x 439 Ox- 317 O x= 21.5 O x= 86 O x= 43

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Q: 8.4.10. Let A and B be subsets of R". a) Show that a(AN B)n(A B) b) Show that if xe a(AnB) and x ¢…

A: a) Consider the given statement, ∂A∩B∩Ac∪∂Bc⊆∂A Let us consider that x∈∂A∩B∩Ac∪∂Bc, then we have…

Q: pプ PG2-2(6x)さ子エ theorem over the elosed hemispher defined bY Zz J25-x²_y?

A: Given that F→=x2+yi^-zyj^+z2k^ and z=25-x2-y2

Q: Calculate: a) median b) first quartile

A: Class Interval Frequency Cumulative Frequency 90-105 24 84 105-120 62 86 120-135 72 158…

Q: (csc 0)(1+ sin² 0 + sin 0 cot² 0) d0 а.

A: This is a problem of Integral Calculus.

Q: Find Dy, Dx and the value of x, y,z    x + y + z = 2   6x -4y+5z=31   5x +2y+2z=13

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Q: f(t) = 3e " cosh (In 21)

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Q: 1) [ x² y" – xy – 8y = 3x – Consider the DE 4 - - satisfy A) Verify that yı = x* and y2 = x the DE:…

A: The given ODE is x2y''-xy'-8y=3x-4x. (A) To verify:  y1(x)=x4, y2(x)=x-2 satisfy x2y''-xy'-8y=0. (B)…

Q: K= 548 The definite integral fi f(2) dz is estimated using the trapezium rule. Calculate the…

A: It is a problem of Numerical Analysis.

Q: be a closed subset of space Xa

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Q: Solve %| 1+9x² ) dy + x³y² = 0 .

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Q: Use the trigonometric and substitution techniques to evaluate the following integration problems.…

A: (1) To solve the given integral ∫0π23cos3xsin2xdx

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Q: Let V be a vector space of dimension 4, and let W be a vector space of dimension 2. Let L : V → W be…

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Q: iii) a) Prove that Pa(-x) (-1)".Pn(x) u (2n)! 22 (n!) b) Prove that P2n(0) = (-1)".- %3D

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Q: s-3 A) Find the Laplace Inverse for the s3+1

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Q: seThe improved Method Sove the: よy XCi+メ)。 S(6)-3,h=o.て

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Q: (b) Integrate: () S(4x3 — Зх? + 2х — 1)dx 3 (ii) - S-o S,(2.xy + z)dx dy dz z=-1 Jy=0 Jx=1 dy du =…

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Q: Evaluate the given integral. Sh x3 + 2x² + 8x+27 x(x + 1)(x² + 9)

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Q: The series 2 (-2)" is n=1 n4" +1 Absolutley convergent Conditionaly convergent O Divergent O None of…

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Q: what about part 5)?

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Q: Find the value of [n] for which the area below the x-axis of the curve y = x" log x is d equal…

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Q: (a) Divide r – xª + 3x3 + 2x2 and remainder r(x). Verify that the quotient times x – x? + 1 plus the…

A: Introduction: A polynomial is a very important real-valued function. The degree of a polynomial is…

Q: Let W = {(0, x,y, z): x – 6y + 9z = 0} be a subspace of R. Then a basis for W is: %3D O None of the…

A: Basis for a subspace

Q: . f(t) = -2cos6t + 5sin6t %3D

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Q: Real GDP B Years Point B on this graph shows a(n): O trough. O recession. O expansion. O peak.

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Q: r: A = (3,2,4) m = i +j+k 2: А %3D (2,3,1) В %3D (4,4,1) %3D (a) Create Vector and Parametric forms…

A: Let us solve the given problem related to Straight lines in Space in the next steps.

Q: 4x2 + 2. Let S be the surface with equation y = 9 (a) Write the equation of the traces of S on the…

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Q: (A) Estimate the area under the graph of f(x) = 3x + 4 %3D from æ = -1 to r = 4, first using 5…

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Q: -1 -3<t<0 The Fourier Integral Representation of f(t) 1 0<t<3 is otherwise f(t) 1 (1- cos 3w) sin wt…

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Q: f (t) =-3t*e®S* + 3.8t²e24*

A: Properties of Laplace transformation…

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A: To choose correct option we will use the following theorem Theorem: A non-empty subset W of a vector…

Q: Solve for x: 4

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Q: Use the Cayley-Hamilton theorem to find A', A', and A“ for the given matrix A. 2 1 - 3 - 3 -1 6 1…

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Q: Calculate: a) median b) first quartile

A: )a) find the median class interval frequency cumulative 90-105 24 24 105-120 62 24+62=86…

Q: dY Consider the linear system: dt Y. (a) Show that the two functions Y1(t) = () and Y2(t) : 2t) are…

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Q: 3. Solve for x: 4 Ox = 13.5 O x= 2.7 O x=9 X = Ox= 6

A: Introduction: The chord of a circle is the line phase that connects any two locations on the…

Q: Suppose P(A) = P(B) = 0.2 and P(AN B) = 0.1. What is P(AU B)?

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Q: •MMD1:ro AV% Then M is a basis for M2,3 O the above M3,2 O the above O None of the mentioned

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Q: 3. 2 B -1 0 1 а) A = 1 -2 -4 5 -3 -3 b) A = 7 11 -11 13 A 28 43 -6 18 B = 22 -3 c) 3 7 4 3 12 B = d)…

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Q: 1 4 5 -6 g) A = 6 15 , B= 11 - 23 -12 3 51 35 -4 71 52 12 h) A = 22 9 B =-5 17 -19 100 - 24) -8 91…

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Q: FiM the remainchg ports op the spherical triangles ) ca90 のこ3703'44 ,6-61° 14'25

A: Given: C=90°a=37°3'46''b=64°16'25'' To find: Remaining parts of the spherical triangle

Q: Find the standard equation of the sphere. (Let r = 5 and C = (9, 7, 5).)

A: Standard equation of a sphere with radius r and centre at c=(h,k,l) is  (x-h)2+(y-k)2+(z-l)2=r2