Find he values ot A for whith hx) is conbinuous. -8x x 3 A x-27 1 X73

Q: Find R(t) if R′(t)=⟨1+2t,2e2t⟩ and R(0)=⟨1,3⟩.

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Q: G) for G) For anycurve, x= 3t,y=312,2=2t3, Show that 6 -

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Q: Find all sojutions of the fellowing equation jn the interval [o, 2T). the 5sel x CSC X 10 CSCX

A: To find all the solutions of the equation 5secxcosecx = 10cosecx in the interval 0,2π

Q: S (2y-3) dy 2y ³-y²-27y + 36

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Q: Find the real component if mid 09.png s(e)= a in vbet is evaluated at z = 9 + 4i when a=8 , b = 7,…

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Q: sove for m in terms of r and T. [(1-m)(1+r)]T=1/2

A: The answer is given as follows.

Q: R. 4. P. ove that PR bisects ORN. ve that RÔS = PÂT.

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Find r'(t) r(t) = 6Vti + t²Vtj + In(t? )k %3D r'(t) = %3D

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Q: Find the B.C.R let XXgg, Xn vN (@,1) H:0-2

A: We have to find the best critical region which we will find by using neyaman Pearson lemma.

Q: P+ V. R+ W. U If m/TVQ = 5x - 22 and m2VWS = 3x + 10, for which value of x is PQ || RS? 4. A…

A: We know that, If two or more lines are cut by a transversal, the angles which occupy the same…

Q: Given f(x, y) = 12/8x* + 6y + 2xy°, find f. (x, y) = f,(x, y) =

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Q: P is the circumcenter of AXYZ. Use the given information to find PY. P. PX = 4x + 3 PZ = 6x - 11 Y

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Q: Use Gramer's Rule to Find K,y and Z -y-2Z = -8 + 32 = 2 %3D 7X +y+Z = o

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

Q: 04. Show that T = satisfies the equation T + Tyy = T³. %3D

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Q: Q3. Find y= fx) such that y

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Q: Let f(z,y) = z* + y° – 2r° - 4y be given. Which of the following statements is correct? %3D

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Q: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: Hewin If Z =R Cxxy]:and u=x-yg V=x²-y 그를 + show that

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Q: Q3/ Find length of the cardioid r-a@3from 0 = 0 to 0 = n %3D

A: The equation of the cardioid is r=aθ3. The length of the cardioid is given by the formula,…

Q: 2. f: (R. d) -→ (R, do) is cont inuous at 2 a. True b. False

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Q: For what value(s) of h will y be in Span{v1, v2, v3} if Vi = V2 = and y = V3 = 3 h

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Q: Find which of the following quadrature formulas are of the interpolatory type. Show your analysis.…

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Q: Find r'(t) r(t) = 8/ti + t?Vij + In(t² )k

A: We will solve the following.

Q: Find length of the cardioid r=a0³from 0 = 0 to 0 = n %3D

A: Length of the cadioid is given by below formulaLength = ∫0πaθ3dθ

Q: Given that z=5cos (3x+ 3ct) +e**d, Which ONE of the following statements is TRUE? OA d2z dx2 d12 OB.…

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Q: The value of a that makes the given fuction continous fx)=Sx -2 x22; x)~lax²+2x<2 3 3 2 2.

A: A function f(x) is continuous at x=a if the left-hand limit, the right-hand limit, and the values of…

Q: Given that z=5cos ( 3x + 3ct) + e*+d. Which ONE of the following statements is TRUE? %3D OA. d2z dx2…

A: Here is the solution.

Q: Evaluate p xy da + a dy, where C is the rectangle with vertices (0,0), (3,0), (3,6), and (0,6).

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Q: Write a in the form a = arT + aN N at t-0 for R(t) = t2i + %3D (t+r) + ( -r°*

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Q: Given: Right AXYZ with mZX 45° and XZ = 8 Find: YZ and XY X Exercises 5-8

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Q: Desaf be all furctions u=fG) which are defined forall XER and satisfu the equation fG)= 1 fx)

A: Solution: The objective is to describe all functions y=f(x) which are defined for x and satisfy the…

Q: Find the point P such that v = PQ has the components (-1.75, –8.75, 2.5). Q = (1.25, 1.25, 5.5) P =

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Q: Q3: Find T, N, B, K and t for r(t) = (3csc³t · sinºt) i + (3sec³t · cosºt)j+ 5k

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Q: Find r(t) if r'(t) = 6t³¡ + 7tºj + √tk and r(1) = i + j.

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Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: If f(x, y) = 7x + 3exy, find the following (a) ax? (b) ду дх (c) Әх ду (d) ay? II II

A: we need find first and second partial derivative

Q: Find the unknown X the tow equal matries 8. atb 9(64b)46 Lo 13 where and bare Canstants 2 21X

A: The two given matrices are equal. Then we have to find the value of x.…

Q: Find a value of c so that P(Z<c) = 0.71. a) O 0.45 b) O1.05 c) O 0.55 d) O 1.55 e) O -0.55

A: Given : P(Z≤c)=0.71

Q: Find z using the following diagram, if mZ1= 7L 12 and m22 = 4x + 3. a) 03 b) 04 c) O 17 d) O 5 f O…

A: The solution as follows :-

Q: (c) Find A? fo given that fo = 79, f1 = 120, f2 = 150, f3 = 190, f4 = 201, f5 = 218, fe = 250, f7 =…

A: We will find out the required value.

Q: Q1 In the fellowing table find Z CG) ,ccal all a E G to

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Q: Let *- y= ÿ.z=0 and x ỹxz= V3 where x,y,ZER'. Which of the followin. 2 can be the value of X Z? V3…

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Q: df Let f(D,Q) = 3 DQ. Find %3D

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Q: Find r(t) if r'(t) = 3t2i + 6t5j + /tk and r(1) = i + j.

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Q: Find the volue of im x3+2 the Val using 3. X-> hospital cule.

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Q: r = |F|, = xi + 4yj - 2zk Let it be V(6r), v²(7r) v°(7r) find all of

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Q: Write a in the form a = arT + an N at t-0 for R(t) = t2i +

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Q: Let be Z= ax? yf +bx²y³ 9 and b que cors P is a pant givon by (-1,-1) qnd we Anaw dz (P) = -2 , &르…

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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.