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A: Given points : P1= (3,-4)  and P2 = (-2,1)

Q: flt)=lt-3)²21lt-2)

A: f(t) = (t -3)2 21(t -2) f(t) = 0 t = 2, 3  These are the roots of the function. At these values f(t)…

Q: If F = 2 3 4 2 0. and d= 2 2. Select one. O a. 8 10 Ob 10 8 Oo 10 Od.undefned

A:

Q: Qg show that: coths =} hm X+1/, X-1

A: Formula: The relation between hyperbolic function cothx and exponential function is given by, cothx…

Q: Let fix.y) = In (x³y) . If f(6.2)=f,(5,a) what is the value of a? O a. 1 Ob.-1 O.0 O d.2 Oe. -2

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Q: Evaluate : dx O X+4

A:

Q: af If f(x, y)= 3xy+5y, then О а. a. 3x e O b. 3xy OC 6x c. Od 6x)

A: c. 6x is correct.

Q: Evaluate f fs 2² dS, where S is the portion of x2 + y² + z² = 2 in octant 1.

A:

Q: Select the best option based on the information below. MP at(x;,x;). = TRS = MP, %3D %3D - W2 Select…

A: Given....

Q: Using Romberg's rule, approximate $²2dx.

A:

Q: ベ-1 Let f cx) - X/B e Find MLE ? 必B

A: Let  fα,βx=Xα-1α-1! βα e-Xβ We need to find MLE. Therefore, fx|α,β=∏fxi|α,β=βαα-1!n∏xiα-1exp-βxi  α…

Q: O Solve the eguation, Kdz x dz - gdz +ze (tya) Ans OF THS + -z) =0

A: This is linear equation so we can use Lagrange auxiliary equation to solve this problem.

Q: Find u•v

A: As   u = -12,2         v = 1,6   So,  u→=-12 i+2 j        v→= i+6 j

Q: For integers a and b, prove that (a + b) 3 a3 + b3 (mod 3).

A:

Q: Find the Cauchy puincipal value of the following integrad ive (x +1) (x* +2) C2 →メ -R

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Q: Maria drops a ball from a height of 8 feet. With each bounce, the ball reaches a height of the ball…

A: It is given that  Maria drops a ball from a height of 8 feet. With each bounce, the ball reaches a…

Q: Find HLK. Show your work.

A: Given, To find

Q: F1 F2 **- FS F3 F6 F8 %23 %$4 F9 F10 F11 Home F12 7. & 7 8. 6. Q R T Y. U the endpoint of AB ave Of…

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Q: Find the value of x and y if ALUV ~ AGEO. G. 4 E y 10

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Q: H.w using par sevel? identity Let fex) e show +ha t(xdx (x41)2 %3D - Fsls):

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Q: Simplify the following using Power of a Quotient Rule. 2. A BB A B4 A'B A° B" A B 18 AB14

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Q: d. g(-3) e. g'(1) f. g(3)

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: consider Hthe quotien E ringzWI where I = (XtX+?) E Valuat e (zx+3+I)

A:

Q: 4. Given differential equation y" + y = csc (t) a. Find the complimentary solution ye that solves…

A:

Q: Find the la x b|, if a = 3i + j + 2k and b = 2i – 2j + 4k %3D 13.86 42.49 32.91 24.04

A:

Q: ots.) Let f (x) = and g(x)= 2x+3. X-3 %3D a. Find (fog)(x) b. Find (gof)(x) C. Are f and g inverse…

A: a) Plug g(x)=2x+3 inside f(x) and then simplify.

Q: 0 Use integration by part to evaluale the falowing integrali x Inx-x dx 2 Evaluate +4x+3

A:

Q: R = (2, 1).

A:

Q: Fill in the blanks. Then, choose the property of m

A: Part a,Given,           ×2=0

Q: Berisha YA P1 P2 P1 P2

A: See the attachment

Q: Find Duf at P. f(x, y) = 3(1 + xy) 2; P(5,3); u = 1 i+ NOTE: Enter the eract answer. Duf 62

A:

Q: If f (x) ka? +1 and f- (19) = 3, find k.

A: Given,        f(x)=kx2+1 and      f-1(19)=3

Q: /500t was fox) = (X-2) the fEsso (1) = %3D

A:

Q: & 23° Story How did you do on the Pi-Day Perplexing Mystery? (check the pdf to see how close you got…

A: We have to find the arc and angle