Find the equation of the tangent plane to the surface 3x² + 4y² + 9xy at the point (2, 0, 12). Z 2 =

Q: Exercise 5: If f(x) dx = 10 and f(x) dx = −2, use the properties of definite integral to evaluate:…

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Q: Calculate M6 for f(x) = √√3x over √3x over [2,5].

A: Given Data : We have given a function f(x)=3x over an interval [2,5].   Required : We have to for…

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Q: Use the Laplace transform to solve the given initial value problem. y" 10y - 75y = 0; y(0) = 8,…

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Q: 2. The limit of the sequence {cos cos an n+1 is

A: The given sequence is: an=cos(πn)n+1

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A: Use logarithmic property

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Q: 3. The path of a tennis ball is given by the function f(t) = −²+61. f(t) represents the height in…

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Q: Find sin 2x, cos 2x, and tan 2x if sin x = 2 13 and x terminates in quadrant IV.

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Q: Question 2 Solve the following simultaneous equations xy = 256, 3log, (v) = 1 (4 marks)

A: Using logarithmic property Logxy=z then apply exponant both side we get y=xz

Q: g= 4³* + (3x)* 3x

A: Given : g=43x+3x4   To Find : First Order Derivative of g

Q: Date: Period: B. Verify the following Identities. Determine the trigonometric identities you used in…

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Q: At what point does the exponential function overtake the linear function on the interval (0,00)?…

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Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

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Q: The profit, P dollars, earned by a company producing CDs is approximated to be P = -30x²+720 1720,…

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Q: For f(x) = x what is the equation of the tangent line at x = − 1? Calculus Derivatives > Tangent…

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Q: A differentiable function f has the property that ƒ (4) = 5 and f' (4) = 3. What is the estimate for…

A: NOTE: Refresh your page if you can't see any equations. . it is given that which means the point…

Q: Rewrite sin (2 sin ¹4v) as an algebraic expression in v.

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Q: 07 * a Which is the derivative of f(5x)? (a) 5 f'(x) (b) 5 f'(5x) (c) f'(5x)

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Q: b Evaluate the integral using the formula f x³ dx = 44. = (Give your answer as a whole or exact…

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Q: QUESTION 3 92² If s . r = √2+² -1, find q=2t' and r when s= 2 by using Chain Rule. QUESTION 4…

A: Given :s=q4r22q=2t3r=2t2-14.1.0050.98

Q: Let f(x) = x¹ + 2x³ + 3x² + 2x. Then f'(x) is and f'(2) is f''(x) is and f''(2) is

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Q: Find y' if sin¹(xy) O1+sin ry√1-x²y² 1-r²y² O O x+(sin y)√1-x²y² sin y √1-x²y² 0700 None of these =…

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Q: QUESTION 4 Approximate (1.005)√0.98 using total differential.

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Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: 03 * Consider the line in R³ that has a vector equation as (x, y, z) = (9, -1, 3) + t(-5, -1, 1), t…

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Q: Find p, q if f f(x) dx + ₁¹⁹ f(x) dx = f f(x) dx. (Give your answers as whole or exact numbers.) p=…

A: given  ∫57f(x)dx+∫719f(x)dx=∫pqf(x)dxby using properties of integration…

Q: Find the inverse Laplace transform of the given function. 4! F(s) (s-8)5 NOTE: Express your answer…

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Q: The points A and B have the coordinates (-2, -4) and (-6, 8) respectively. Find the gradient of the…

A: Given :A = (-2, -4 )B= (-6, 8 )

Q: Prove the identity. 1 1- cos x + 1- cos x sin ²x 2 = 2 csc ²x

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Q: sinx-x x² n- 0 ng limits (apply L'Hospital" Int -; b) lim: ; c) lim x-1

A: Topic:- application of derivatives and calculus

Q: 6 X-9 lim x→9 √x-3

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Q: 11. Solve the following using the Quadratic Equation: 2X2 + 7X – 15 = 0

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Q: 1. In the method of cylindrical shells, integration is over an interval on a coordinate axis that is…

A: 1)In the method of cylindrical shells, integration is over an interval on a coordinate axis that is…

Q: lim (1 + 2 sin 3x) cotx = ? x →0

A: Here we have to evaluate the limit

Q: Find the Laplace transform of the given function; a and b are real constants. f(t) = e^* sinh(bt)…

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Q: Find Əz ?х Əz da Əz ду = ab brackets (e.g. x*y rather than xy; 2*(x+y) rather than 2(x+y)). • Put…

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Q: 11 11 2 10 Determine the mateix Qif Q=BC # Compute det (C) Given that B Determine C and

A: Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: 11. For y = X 2+x², determine d²y dx² when x = 1.

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Q: Compute the exact values of each quantity sin(0) Cos(0) tan (0) sec(0) csc(0) cot(0)

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: 13. Explain why f(x) = X - does not have an extreme value on the interval [0, 5]. x-1

A: We have to prove function f(x) does not have extreme value on the interval [0, 5]

Q: Read: Sections 2.1 and 2.2 either before you begin the assignment or when you get to the last…

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Q: 7 Σ 4. Which of these is not like the other? Explain. Option 1: {(1,-20), (2,-15), (3,-10), (4,-5),…

A: To determine which of the option is different from the other.

Q: B. Applying L-Hopital rule show that 1) limx→0 sin 8x 3x 2) limx-0 ex

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Q: Calculate the integral, assuming that f¹ ƒ(x) dx = 1, ſ² f(x) dx = 6, ff^ f(x) dx = 9. (Use symbolic…

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