Q: Q3) If f(x,y²) = x² + y² + vxy find : af (x²,y) and f(x²y) ax ду
A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…
Q: 49. f(x) = alst %3D n=0 Selet ai 50. f(x) = 2 (-1)+1(x – 5)n n5" n=1 * (- 1)n+1(x – 1)"+1
A: f'(x)=∑n=1∞ (-1)n+1n(x-5)n-1n5n =∑n=1∞ (-1)n+1(x-5)n-15n Apply the ratio test to check the…
Q: 7. f(x) = xln3x O a. f'(x) = xln3x + 1 O b. f'(x) = 3lnx + 1 O c. f'(x) = ln3x + 1 O d f'(x) = ln3x…
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Q: 1/4 using the Linear Approximation L(x) of f(x) x14 at a = 16 Approximate 181/4 (Use symbolic…
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Q: 4. Given that (fog)(x)3= 4. and f(x) = Sx+4 9x-2 Determine g(x). Hence, find g(0)
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Q: 9. y = x – 5x+52) 21n10. y = 2r2 11. f(x) = 12. f(x) %3D x² +x- 6 15x2 +31x + 1 13
A: Since you have asked multiple question, we will solve the first question for you as per our guide…
Q: Increasing and decreasing functions Find the intervals onwhich f is increasing and decreasing.…
A: Given: fx=4-x2, fx=x2-16, fx=x-12 We know that any given functionfx is increasing in a interval if…
Q: 2 (ii) using Convolution theorem. (s+2)(s²+9)
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Q: 1.2.10 1 if x < a, f (x) = 2a elsewhere on (-T,"|, where 0 < a < T. Sketch for two different choices…
A: Since, you have post multiple question here. I am answering first one. Please post again with…
Q: 3+2s 17. F(s) %3D (s+4)(s²–3)
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Q: 2. Evaluate h" (/F)dy if h(0) = 1, h(2) = 3 and h'(2) = 4.
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Q: 552 – 4 I(x)= £2 + 1 |1 – 45| 12 – 1,000 f(x) = 5 4r2 – 6 1– 452 m(x)= |4s – 1| g(x)= -4 g3 – s2 + 4…
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Q: 3. 21 ) f(x) = 3x + 1 [1,3] n=3 a=1 right left & middle hand rule b=3
A: Given that fx=3x+1, 1,3 n = 3; a = 1; b = 3 To find out the left, right and midpoint riemann sum.…
Q: 2_Use Fixed point method to find the root of the function 4ln(x)=x4ln(x)=x with initial guess…
A: Solving below the problem x=4lnx, with initial guess x0=8
Q: 4.2 Apply the appropriate method to calculate the following: 1 = f***-8 I = S x2-4
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Q: 4. Ifu = f(x), then : dx = J x* + 2x² + 1 k + C for some constant k. x² + 1 Compute kf (1). (a) ¼…
A: The given integral is ∫xx4+2x2+1dx=∫xx2+12dx To compute kf1
Q: if f(x)={ -3x for x -1 find f(-2) a. -6 b.9 c.6 d.-1 e.0
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Q: 1) Find the absolute extremum values of f(x) = x² – 2 + 12 over the interval [1, 2).
A: Since you have asked multiple questions in a single request, we would be answering only the first…
Q: 3. y = In (3x – 7) %3D 9. 5. y= Inx? - 1) 7. y= In (1 – x²) 9. f(X)= In (4X 6 + 2X ³) -+ 1)
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Q: x2n+1 El-1)"; 2n +1 n=0
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Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x
A: #2 Given, f(x)=x22 ln x-3
Q: determine the second approximation Xz if Ne wtons Method was use to defermine the root o f the…
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Q: Evaluate: x/9x2 + 4 (A f (x) = -4 ln V9x2 + 4 + 2 +C f (x) = - In 4 V9x2 + 4 + 2 + C 3x © f (x) = -2…
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Q: 13. If f(x) = 3x -4 the equation for f¹(x) is 0y=x+3/ 3 Oy=1/x+³/ Oy=4x+3 Oy=3x+4 4
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Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =
A: To find f'(-1) first we differentiate both sides of the given equation with respect to x and then…
Q: 5. Suppose that f (x) dx = = 5, f (x) dx = -3, g(x) dx = -1, and g(x) dx = 2. Compute | (2f(2) –…
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Q: 4. Evaluate only one of x'dx a) f (x² +4)
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Q: 41. 42. f(x) f(x) 3. 2- 1 1 1 -1- 4 -1 -2- Square Root Function
A: It is clear that from given graph
Q: 2. If f(x) = x-1 and g(x) = - x2+ 2 a) Find (fog)(x)
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D
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Q: x"(t) – 4x'(t) + 4x(t) = 4e2t; x(0) = -1,x'(0) = -4
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Q: 15. F(p) 3D (5 р — 2)(3р — 1) 16. g(x) = (/x+ 5x – 2)(Jx – 3/x) %3D 17. y = 7. 18. y = (x - 1)(x –…
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Q: In Problems 17–19, graph each function.
A: Points that lie on the curve helps to draw the function. Substitution of the arbitrary values of x…
Q: I'm studying for a precalculus exam and I want help on this problem because I am stuck.
A: Given that,
Q: 3 2 y X-3x-x t3 From X = -1 to X= 8
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Q: 2. f(x)= 2* at x = (0, 4] where n = 4;
A: Given: fx=2x2 at x=0,4 where n=4 Simpson 13 rule:…
Q: B) fometie w= xty+y2-23, x²ry*+2?=6
A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…
Q: 9. Given that 00 2n+3 f x) - Σ(-1)" (2n +1)! n=0 Find f '(0)
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Q: да Given zTan¯¹ (x + y) — ln [1 + (x + y)²] = 5%, what is ду -1 2-2x-2y none of the choices 2- 2x +…
A: ∂∂xtan-1x=11+x2 Note : As per our Guidelines , we can solve first question. Please repost remaining…
Q: -> (6) 금 AxB) at t-1 at t=1 (1) A X 4P
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Q: 9. f(t) = (5+ e4t+t') 10. y = In(1 – 5x² + x³) 11. y = ³) In (x2 + 4x
A: Since you have posted multiple questions. As per guidelines we will solve only first question If…
Q: 2s + 5 cosh t L- s2 + 6s + 34 et 5s L-1 (s – 2)² 3t -
A: Laplace transform of the function
Q: Derivatives of the sum of functions Find the derivative of thefollowing functions
A: We have to find the derivatives of following functions: 19. fx=3x4+7x20. gx=6x5-x21. fx=10x4-32x+12…
Q: 1) If h(x) = x³ +1, find h-'(x). (A) h-'(x) = 3+ (x +2)³ (B) h-(x) = Vx – 1 (C) h-(x) = 2r³ – 3 (D)…
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Q: S f(x) = x² – 2x + 6 x > 1 x4 + 2.x3 + 2 x <1 Show that there c E (-2,3) such that f(c) = 4. (Don't…
A: topic - continuity and limits
Q: 4. If u = f(x), then k +C for some constant k. dx = x* + 2x2 + 1 x² + 1 Compute kf (1). (a) 4 (b) –…
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Q: b) Let X-p(5): Find 1. P(x) 2. F(x) 3. E(x) 4. V(x) 5. P(x=0) 6. P(x>1)
A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…
Q: 4. Suppose f(1) = 5 and f'(1) = 3. Let %3D 3.a-5x2 h(x) = 2f(x) +1 Find h'(1).
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Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…
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Q: dæ Evaluate: æ/9x² + 4 9x2 + 4+ 2 + C V A f (x) = -4 ln 3.x f (x) = -2 ln V9x2 + 4 + 2 + C None of…
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