Determine he valves 0 or which t) is discontinuous. 3x-12 25 x 1 אxל2 (x-12)(x-14

Q: If z=u+uv, u=x-2y, v=2x– y° , find the value of when x-1 and y=-1. a. 13 b. 5 C. 7

A: Given, z=u2+uv  where u=x-2y and v=2x-y2 We need to find the partial derivative of z wrt x, this can…

Q: Q3- Find the numerical value of §. xdz, if c = c, + c2 + C3.defined in the given figure. (2,2) C2…

A: We will find out the required numerical value.

Q: Please draw and make a short explanation about of this pmf : p(y) = 1/(y+1) for y = 0, 1, ..., 6.

A: Given : Equation : p(y) = 1/(y+1) defined for y = 0,1,2,3,4,5,6 The following graph is obtained

Q: Sotve (D + 1) y = 0, t> 0, ify=yo when t= 0

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Q: 4. Given: y =21 –31 and x =u – 3u , find y'

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Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 5x3y - 6xy2

A: The expressions fxx and fyy denote partial derivatives of f with respect to x and y, respectively.…

Q: n P(x) = 4x +11x + 16x - 9, which of the following is true? As r→ P(r) →-0 B As x → +o, P(x) → +

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Q: If z = x?y? and x dz for t = 1, 8 = 2 ds st, y = t2 – s2 then the value of is 0. Select one: O True…

A: We have to state true or false by solving the partial derivative.

Q: Find the exact values of x and r. (X, r) 12, 30V3 x ) ) 3D 30° 12

A: From the given figure, it is observed that the opposite side is 12, adjacent side is x and the…

Q: Write a simplified formula for the composite (S oT)(x, y) when S(x, y) = (4x, 2y) and T(x,y)= (x+1,…

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Q: (C) N. (A) Show that if (В) =x, N 2x, 3x %3D N (CA) (АВ) and N (ВC) = y. Then the value of neither x…

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Q: dxdydz Evaluate 'V1-x? NI-x²-y² V1-x2-y?-z2

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Q: Find the values of x and y - SX+(s+6) Y=1 ....... (3-s) X-2sY = -8 ...... (1) (2)

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Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: A of Thiree equcethons 2メーリーH23 12 &メト yt 2い」 メ42y t42ー0

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Q: If z = (1+ iv3)' 100 then find the value of Re(z)/Im(z). a. V3 b. 1/V3 с. 2//3 d. -V3

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Q: (2) Find the values of r, if (6) / = 7x, y= rz². (ü) y" – 7y" + 6y/ = 0, y= e". (iii) t*y" + 8ty/ +…

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Q: Solue the following linear syste m +3x3= 1 | 2と+ X, + Xz = 4

A: Given linear system is 4x1+2x2+3x3=1x1-2x2-x3=02x1+x2+x3=4

Q: If we have B= (2Xyz,5XyE,312) anod shewas $ = X+y = - z.T find ⑤マ幅)マ¢

A: Find the attachment

Q: Find the measure of QP if Q is the incenter of ΔJKL. Also, Find the measure of ∠QJK if Q is the…

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Q: P = R-C, for R %3D N

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Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

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Q: Q Find Maclourin Seviedf the ९wn- टे

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Q: o Evaluate , S, Só (x – 2y + 2z)dz dydx.

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Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 4x2e2y

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Q: Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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Q: Given: m +n = p P= 3r Name: Date: Prove: 3r = 2n

A: We have to prove that 3r =2n Using given information in question

Q: Find a relationship between uX and µ7X. Given: Ux=3 M 7x= M 7x = 21

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Q: *:س 6 where The value of she vgiá dà r = |7| Cya g(r) = ! , = xi + yj + zk let And

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Q: x+y find x, y from x-y O x=7/2,y%31/2 O none O x=5/3, y=2/3 O x-3/5, y=2/3 43

A: We have two equal matrices given.Both are 2×2 matrices.we need to find the value of x and y from the…

Q: Given f(x, y) = 4/32° + y + 8xy³, find f.(x, y) = f,(x, y) = |

A: Find the partial derivative of f(x,y) with respect to x to find fx(x,y) . Find the partial…

Q: a) By using the substitution u = √√x +3, evaluate S. 2 √(√₁ + 3)2 d. dr.

A: Given, ∫142xx+32dx

Q: Q.6 Show that: B(x-1, y+1) = B(x, y) y

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3. s|| t, m/1= (3x – 6)°, mZ2=(5x + 2y)°, m23 = (x + y +6)°; Find x, y, and the measures of 21, 22,…

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Q: a2z + əx2 a²z If z = In(x? + y²), find ду?

A: Find ∂2z∂x2+∂2z∂y2.

Q: 7x 4) Find Derivadive 9. E'6) = ?

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Q: P[N;(1) = k/{N¡(1) + N2(t) = n}] = nC p q"-k, where and q = P = 21 + 12 21 + 12

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Q: Given s= 6x7x20: Find a) whure y is ot eauilibrium 5) where is imereosing ) whee y is docieasing

A: we have ,  y'=6x2+7x-20 ...........(1) we have to find,  a) where y is at equilibrium.  b) where y…

Q: The degree ofa difrentel eutn /z+(2) =0is. O None of the choices 00 0 2 01 0 3

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Q: 20. Find the value of z if ST is the midsegment of AEFG. Sr-2 %23

A: To find the value of x

Q: : VERIFY USING CONVOLUTION 5(s? t1)

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Q: Check That

A: Given: ∂2W∂U∂T=∂2W∂T∂U  for W=eUT

Q: WY is a midsegment of AUVX. If UV = p + 3 and WY = p + 1, what is the value of p? W V Y U p =

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Q: Eliminate the parameter t in the X=2+4tant y=7+4 sect

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Q: 2. V9 – y?, y = 1, y= 3, x = 0, about the y — ахis -

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Q: If r(t) = ( – 6t + 7)et, ,8t find r' (t) = Add Work Check Answer

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Q: 4y – 3 51 54 D 57 S. 17х + 3

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Q: 3. Let M(x) = 3r² – 5x + 2, find the following: а) М(4) b) м(-7) c) M(c+h) – M(c)

A: The given function is  M(x)=3x2-5x+2

Q: QI/ If F = xi+yj+zk find the divF.

A: By see this solution

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.