(3e² + 5æª + 6 cos a + 2)dx : 3e? + x + 6 cos a + 2x + c 3e + a + 6 sin a + 2x + c et - x5 + cos z + 2+c e# + æ5 – 6 sinx + 2x + c O 3e" + æ5 – 6 sin æ + 2 + c

Q: Can

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Q: 2. If f(x) and g(x) are continuous functions, then " g(x)] dx = | f(x)dx• g(x)dx. 3. If f(x) and…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A: I have stated the used formulas in the solution.

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A: We have to find value of given Integral.

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Q: 6) A rectangular lot is to be bounded by a fence on 3 sides and by a wall on the fourth side. Two…

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A: Explanation of the answer is as follows

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A: This is aproblem related to polar equation calculation. We will assume, x=rsintheta and y=rcostheta

Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

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Q: 2/3 ; 1 <x < 8 3 Problem #2: y =–x 2

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Q: Given that f(m) = a"h(x) h(- 1) = 4 h'(-1) = 7 Calculate f'(- 1).

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Q: Verify that the function f(x) = In(5x) satisfies the three hypotheses of the Mean Value Theorem on…

A: Given: f(x)=ln(5x) Notice that the function f(x) is continuous in the interval [1, 8] and…

Q: Evaluate

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A: We need to find elasticity.

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A: We will find the time taken to go 10 km Upstream.

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Q: denote In°(x) dæ

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Q: 3 dx x² +4x+29

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 %3D y + 5 =…

A: The given question has been solved in detail.

Q: d) L{e f, sin dr}

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Q: Line integrals: 1) Evaluate the following line integral:S, (x² + y² + z²) ds where Cis parametrized…

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Q: .[[bx2-5]dx = 2x³ 5]dx = 2x3- 5x + C

A: The objective of the question is evaluate the value of "b".

Q: Evaluate: (20t3 – 12t? + 7)dt

A: ∫03 (20t3 - 12t2 +7 )dt here we use rule of integration xndx = xn+1/(n+1) [20t4/4 -12t3/3 +7t]03…

Q: Find all values of c so that (2, 1, c) and (c – 1, 2, 2c) orthogonal. are

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Q: Activity 5: Find the following indefinite integrals. 1. Sdy 2. fx(8x? – 6 +) dx 3 6. S COSX dx sin?x…

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Q: Consider the following. x - 2 f(x) = x2 - 4 (a) State the domain of the function. O all real numbers…

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Q: If m s f(x) < M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Given problem:-

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A: ∫ -2x1-x2dx

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A:

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Find your answer below

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Q: Solve for æ: 109z - 2 = 710z – 6

A: To solve for x.

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A: We can solve as follows

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A: Let's find.

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A: Topic:- application of derivatives

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A: Given equation of ellipse, 25x2+y2=25So, y=±25-25x2 Now distance between the points (x,y) and (1,0)=…

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Q: Suppose that L is a location function of an object, given as L(t) = We will compute the 3t + 7…

A: We can solve this as follows:

Q: Given the following matrices: 8 3 2 3. -3 0 4 1 2:C= 4 -1 2 A=5 6 3 1 0 -2 %3D 3 5 2 -3 2 5 3. Find…

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Q: Estimate the area under the graph of y = x2 + 2x for x between 0 and 2. Use a partition that…

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Q: Find f. f"(x) = x³ + sinh(x), f(0) = 4, f(2) = 5.6

A: