Problem #6: Find the equation of the line tangent to f (x)= cos x-sin? 1 at x =-. 5х 6.

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A: f is increasing If x 1 < x2    ⇒ f(x1) < f(x2)

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A: Explanation of the answer is as follows

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A: Topic = Application of integration

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A: Let's find.

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A: Use limit concept

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A: The given integral: ∫sinh x-1cosh xdxWe need to find the antiderivatives.

Q: (-1)"n+ a) Is the series >, n5 + n + 1 n=1 convergent, absolutely convergent or divergent? justify…

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Q: Question Given F(x) below, find F'(x). F(x) = V2r + 3 dt Provide your answer below: F(x) =N

A: We have to find the derivative

Q: timear

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Q: dy The family of curves having * is 1) y=-2x+c 2) y=(2x - x') +e 3) y = 2x - +o O 4) y=(2- x²)³ +c…

A: We have to find solution of the above question

Q: seParable 5い / / とll y=2メJタ! 4 xx

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Q: Which of the following correctly describes the function f(x) = 4x4 – 32x³ + 89x2 – 95x +29? none of…

A: This is a problem related to function. Based on the graph of the given function we will answer the…

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A: Here we have given following equations : y=sinx,  x=3π2 and y=0, x=0

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A: Given f(x) = -½(½)x + 4 We have to find f(-8)

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A: Basically we know that direction of a vector is the angle made by the vector with the horizontal…

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Q: 3. =[(2=²- 1)° + 1]° ii. 4x

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A: We have to find anti derivative of given expression.

Q: Find the radius of convergence and the interval of convergence of the series. (-1)" (2n – 1)2" (x –…

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Q: solve

A: We will solve the integral.

Q: A firm produces two types of calculators each​ week, x of type A and y of type B. The weekly revenue…

A: A firm produces two types of calculators each​ week, x of type A and y of type B. The weekly revenue…

Q: L(e2t t2)

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Q: S (e7z +8) dæ

A: LetI=∫ (e7x+8)dxWe apply the Sum RuleI=∫ e7xdx+∫ 8dxI= e7xddx(7x)+ 8xdx+CI=17e7x+8x+C∫…

Q: Find the sum: 9 + 6 + 3 + ... + (12 – 3n) | Answer:

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y=x² + 1, y=0,…

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Q: III. Find the Inverse Laplace of the following a. s²+6s+25 b. (s-1)³ 7 C. s4 2s-9 d. s²+2 1 е.…

A: This is a problem related to laplace transform of the function. Based on the general formula and…

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A: The given integral is:∫excosxdx.We will use integration by parts formula to evaluate the above…

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A: To find the laplace transform of ft=e3t+cos6t-e3t cos6t.

Q: L-1 (2s-9 Is²+2.

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Q: Along the curve r(t) =ti-j+ť k, 0sts1, evaluate each of the following integrals a. (x-y+z)dx b.…

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Q: NYE COMMON CORE MATHEMATICS CURSICULUSM Lesson 6 Exit Ticket 3 7 Use the chues below to draw the…

A: Rectangle: A rectangle is a four-sided closed two-dimensional figure. A rectangle's opposite sides…

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Q: Find fxx​(x,y), fxy​(x,y), fyx​(x,y), and fyy​(x,y) for the following function.…

A: To find fxxx, y, fxyx, y, fyxx, y and fyyx, y for the following function.fx, y=3x2y2+4x3+6y

Q: The interval on which the graph of f (x)= cos 2x, xE 0,7 is concave up is: %3D 37 (A) t 37 4 4 (B)…

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Q: 3"n2 00 Zn=1 n! а. 1 b. 0 c. Diverge с. d. Converge d O b O is

A: Let's find.

Q: Find the derivative of the function at Po in the direction of A. f(x, y, z) = x2 + 2y2 – 3z?, Po(1,…

A: We can solve this as follows:

Q: Solve the problem below. Evaluate the determinant: 1 2 3 -2 -1 -2 3 4

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Q: En=1" Vn sin а. 1 b. 2 c. Converge

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the given…

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Q: dx- In x + CO

A: ∫1xdx=ln(x)Add a constant to the solution=ln(x)+C

Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

A: Given problem:-