Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

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Q: 4. What is (Cos (x²)} dv 5. What is (tan x³) dx 6. What is (In x)7 dx

A: To find out the derivative.

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Q: Instruction: Answer the following. Show all your solutions. For items 1 and 2: Given f(x)dx = 4; f(x...

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Q: Leonhard Euler was able to calculate the exact sum of the p-series with p 2: 1. n2 n=1 6. Use this f...

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Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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A: Area of triangle is half of cross product of adjecent side of traingle.

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, –4, 2), and D(4,1, –8). (a) Find the volume of t...

A: The volume of the parallelepiped spanned by vectors a→, b →and c→ is given by a→×b→·c→ We know that ...

Q: Find the Laplace transformation of coskt+t3/2+t/2

A: laplace transform of coskt + t3/2 + t1/2 = s/(k2 +s2 ) + 3π/4s5/2 + π/4s3/2  transform of function a...

Q: Find the volume of the solid generated by revolving the area bounded by x2 - 2kx - 2ky + k = 0 and 2...

A: Given curves are:  x2-2kx-2ky+k2=0 2x-2y+k=0 The area bounded by them is revolving about the line x=...

Q: 1. What is the answer?Show your complete solution and simplify your final answer without the use of ...

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Q: Find the vector component of v = (4, –1, 7) along b = (1, 2, –2) and the vector component of v ortho...

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A: True. When a particle moves along a curved path, it is sometimes convenient to describe its motion u...

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: 1. х +Зу %3Dу? +4 А. - в. В. С. D. 3-2y 3-2y 2-3у 2-3у 2. 4у- 2х 3 Зx? 3x+1 2x+1 2x+1 3. А. 3x+1 в. ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Estimate the area under the graph of f(x) = x² + 3x + 1 over the interval [2, 4] using ten approxima...

A: Given function: fx=x2+3x+1 Interval: [2, 4]Number of rectangles = 10 To find: The area under the gra...

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Q: 9— е2х dx a.

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Q: Find the real zeros of each polynomial. 11. f(x)=x-2x2-5x+6 12. f(x) =x' +2x'-12x-40x-32 13. f(x)=x'...

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the following equations1. 4x2-3y2-2z2=02. 25x2-100y2+16z2=-400

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 2(x2 – ...

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A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

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Q: 2 A spherical snowball is being made so that its volume is increasing at the rate of 8ft³ jmin/ Find...

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Q: Activity 1: Use the Rules of Differentiation to differentiate the following functions: a. f(x) = 2x³...

A: We can solve subpart a,c& e as below.

Q: Lof the function a(t) - (2n2+2

A: We have to find the antiderivative of the given function

Q: . Solve the initial value problem (zln z)y/ + y = x²e y(e) = 1 ze² +1- ee+1 e (x + 1) +1– e°(e+1) (b...

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