2 3s +9 Option 3 23 -e³t e-3t Option 4 None of the choices Option 2 Option 1 2 -3t 3 3 N|W 2 co

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A: Topic:- indefinite integration

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A: Using chain rule of differentiation.

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A: r is obtained.

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A: Let P be the population after t years

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A: topic - trigonometric ratios and application of derivatives

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Q: Evaluate the integral Sea X 6x³-1dx

A: This question can be solved using the concept of integration by substitution.

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Q: 4x²8x + 5 on the interval [0, 5] by comparing values at the Find the minimum and maximum values of…

A: topic- application of derivatives

Q: Question 18 (CLO-2) Find all vertical asymptotes of f(x). 4x f(x)=64-x Determine whether f(x) or…

A: This is a problem related to vertical asymptote calculation. Please find the procedure given below.

Q: Use the by revolving The C Type an 4 S 3. to the nearest AY N Ə Shell Method the shaded is Cubic…

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Q: 9) Use Fubini's Theorem to compute the double integral ƒƒ_ƒ(x,y)dª_where…

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Q: (a) Using the power series representation of 1 1 + x find a power series representation of In(1 + x)

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Q: Use linear approximation, i.e. the tangent line, to approximate √25.2 as follows: Let f(x)=√x. Find…

A: Linear approximation for fx=x at a=25The linear approximation of the function fx at point a is Lx =…

Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (3,4) b. (0,3)…

A: To find the linearization Lx, y of the function at each point.fx, y=x2+y2+1 a 3, 4b 0, 3

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A: Evaluating the definite integral by splitting the integral at x=1

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Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: cos 2t cos 5t 8 S³ + 29 (s² +49) (s² + 9) Option 3 S S s² + 49 s² +9 Option 2 O None of the Choices…

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Q: (polar to Cartesian) In one polar plane, plot the following points and find their corresponding…

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Q: V. En el siguiente ejercicio obtent 1 + Int 1 - Int

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vf|(−2,2,− 1) = ₁ + Oj + k (Type integers or…

A: We want to find the gradient of the given function at point (-2,2,-1).

Q: 11. Find the limit using algebraic techniques. The limit of f(x) = -4 O- 0 O=¹ x+4 2x²+5x-12 as x…

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Q: 11.) Solve using matrices and Gaussian elimination: x+y+z= 9 -x-3y + 2z = 10 2x + z = 9

A: Please see the below picture for detailed solution.

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A: Let's find rate of change in the given direction.

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A: The given function is  f(x)=x3+x2+x+1

Q: Tutorial Exercise Find the Taylor series for f(x) centered at the given value of a. [Assume that f…

A: The given function is f(x)=9/x and a=-3.

Q: TYPEWRITTEN ONLY PLEASE. ILL UPVOTE ONLY IF TYPEWRITTEN, COMPLETE, AND CORRECT. DONT ANSWER IF YOU…

A: To differentiate the functions.

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Q: aw Given w=xysin(z²), x=s-t, y=s², z t². Find www ax = ysin z² Option 1 aw əx Option 3 = -ysin z² Əw…

A: In partial derivative with respect to x, the terms of y and z are treated as constant.

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

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Q: Find Vf at the given point. f(x,y,z) = x² + y² - 4z²+zlnx, (1,1,3) Vf|(1,1,3) = i +(\)j + ()k…

A: Topic:- application of derivatives

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A: Question- A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by…