Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

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Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π/2. Give your answer round...

A: Use derivative for finding the value .

Q: y(x) =x' (2x – r²)

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Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 n8 n = 1 Σ 1 dx ...

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

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

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Q: Find an equation of the tangent plane to the surface at the given point. 6x2 + 2y + 4z? = 30, P= (2,...

A: Explanation of the answer is as follows

Q: D. Differentiate the following. f(x) = 4x5 - 5x +x +8 g(x) = * --*+x' + v2 c. h(x) = V9x° + V7x7 + V...

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Q: A particle moves on a coordinate line with acceleration dt? = 60 f - 18 subject to the ds = 8 and s ...

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Q: Determine the particular solution. v²dx + (x² + 3xv + 4y²)dy = 0; x = 2, y = 1

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Q: 5. (sinx + cosy)dxdy

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Q: Get Part CUlor solu ti om ay 2メy dt 2y?); *=0, y=4

A: The given differential equation is dydx=2xy(3x2-2y2); x=0, y=-1

Q: dz a) $. Y z – 10

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart...

Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the...

A: We can find the required answer as below.

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact answe...

A: Solution of question is written in below steps.

Q: df(x) 7) The graph below represents dx y 5 a) Find the intervals of increase f(x) b) the intervals o...

A: According to Bartleby's policy we can solve only 3 subparts of a question. Apologies for the inconve...

Q: 37. Solve for the e' D. А. В. С. f (x) -3.0041 f (x) f (x) 5.8 f (x) 0.4065 -1.1 1.1 3.0041 0.9 -0.9...

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Q: 11) This is a function written in vertex form. F(x) = 2(x- 3)² + 4. %3D Describe the number of units...

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Q: Q5.Find a vector parallel to the line of the intersection of the planes 2x + y – 2z = 5 and. N, = 2î...

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Q: The height (feet) of an object moving vertically is given by s = - 16t + 272t + 204, where t is in s...

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

Q: Evaluate the limit lim (メー3)+an X-ラ 3

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Q: x" +x +1 = 0 Homogeneous O Not homogeneous

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) - 5x...

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Q: The height, h(x), of a punted rugby ball is given by h(x)= 21 +zX- 2x+3 where x is the horizontal di...

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Q: Find all the 1st order derivatives of the function f (x,y) = x2y Part 2) Find all the 2nd order part...

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Q: A ladder 15 ft long leans against a vertical wall, If the lower end is being moved away from the wal...

A: Given problem:- A ladder 15 ft long leans against a vertical wall. If the lower end is being moved a...

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) =x<In(x) given the init...

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Q: 35. 3Vx dx

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Q: Two variable quantities A and B are found to be related by the equation given below. What is the rat...

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Q: 7. Evaluate the following integral by changing the order of integration in an appropriate way: 12xze...

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Q: 8. k! k k=1

A: given series ∑k=1∞ k!k3

Q: Exercise 15. Let f(z) cos z (z2-1)2 The residue off(z) at zo = 1 is a) – sin 1 b) sin1cos 1 c) -(sin...

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Q: Describe in words the region of IR^3 represented by the equations or inequalities. y^2 + z^2 = 16

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) = 5x...

A: function  fx=5x2-6x, find the critical points?

Q: Water is drained out of an inverted cone, having the dimensions depicted in the figure below. If the...

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Q: Activity 2.1 A. Choose the function whose derivative is equal to zero c. f(x) = 3x d. f(x) = V2r? a....

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1, ...

A: We have to find the distance between the point 1, 6, 5 and the plane x-y+2z=8.

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

A: For the sequence convergence, limit n tends to infinity should be finite.

Q: xsin-1(x) is V1- x2 If x =0.42 and y = 0.61, then value of C in the antiderivative of F(x) = Add you...

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Q: P = xi + yj +zk Q = x²i -z²k R = xy²j – yzk PROVE THAT (QX R) *(dot) P = R *(dot) (P X Q)

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Q: .3. x* + 2x3+ 11x2+ 8x+16 dx x(x2 + 4)2

A: Integration

Q: Determine whether the series converges. 2k – 1 k=1

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Q: Write the equation in exponential form. 1 10) loe36

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Q: 22. dr

A: Please see the answer is below.

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Q: Use substitution to find the indefinite integral. ((8+3 In x² xp- Describe the most appropriate subs...

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Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

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Q: Find the volume of the solid generated by revolving the region 2 bounded by y + 2v2x = (x+ v2)´and x...

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Q: I using the following values. '4 r4 х dx 3D 6, 2 = 60, 2

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Q: ди Calculate the partial derivative using implicit differentiation of + y = 6 at (x, y, w) = (1,2, 1...

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Q: Eliminate the parameter. x (t) =1– e', y (t) = e2t. State the domain.

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