5. dx of y = (1+e-*)²/(1-e-*)

Q: Tutorial Exercise Find the indefinite integral. x cos 87X dx Step 1 To find the indefinite integral ...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

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Q: Prompts Submitted Answers Se'sin(e")cos(e")dx Choose a match a eu +C Sxe*cos(e*)ax a un+1 + C n+1 a ...

A: I am attaching image so that you understand each and every step.

Q: Activity 2. Evaluate the following limits by applying the different Limit Theorems discussed. 4. lim...

A: Let f(x) be a given function. If f(a) is defined and f(a)=L, a finite real number. Then, limx→af(x)=...

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Q: Find 81 term of series 41,43,45...

A: As we know that; The expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where, a i...

Q: dy a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the g...

A: Given : cosy=6x3-6   To Find : a) dydxb) slope of the curve at the point (1,π2)   

Q: 2. Three men and four women are to be selected from a group of 10 men and 12 women. In how many ways...

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Q: 4. Suppose a > 0. You are given the integral 00 1 2 Use differentiation under the integral sign to f...

A: We apply the given value to find the given integral . Follow 2nd step.

Q: Find the slope of the curve r = at 0 2+cos 0 O -1.155 O None of these O-1.551 O -1.515 2.

A: I am attaching image so that you understand each and every step.

Q: dt 13. Jev121² –16 sin 4zdz 18. 16+ sin * 2=

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Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) = n = = 4, c = 5 x2' Pa(x) = ...

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Q: Find the first derivative.

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A: Given query is to solve the triangle.

Q: Using the Newton method evaluate 2x* + 24x3 + 61x2 – 16x + 1 = 0. Let the initial guess X, %3! 0.9

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

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Q: dy = x - Y dæ Consider the differential equation (A) At the point (– 1, – 0.5), the direction field ...

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Q: Activity 2. Evaluate the following limits by applying the different Limit Theorems discussed. 4. lim...

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Q: 5 =5 Hence, 6"-1 is divisible by 5 is (10.). for n=1 Part 2: Assume that 6" - 1 is divisible by 5 fo...

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Q: Consider the function f which is given on its domain (0, ∞) by f(x) = 18x2 – (36x + 9) ln(æ) . • Fin...

A: Let's find. 

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A: here, the given cost function is: C(x)=32x2+36x+920

Q: e6x _4e' —6х lim x→-0o 2e3x-5e-9x+e-3x

A: Topic:- calculus

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Q: 8. Find the equation of the tangent line to the graph of y = ; at point P(4, –5). 9. Determine the i...

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Q: Differential Equations: Give an example of an interconnected system of two tanks so that: the syst...

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Q: Evaluate the following integrals. 2x3 + 4x² + 7x – 6 dr 1. x4 – 3x2 – 4

A: Given:     ∫2x3+4x2+7x-6x4-3x2-4dx   Factor the denominator:     =∫2x3+4x2+7x-6x-2x+2x2+1dx Perform ...

Q: Match the integral expression on the left with appropriate dv so that the antiderivative will exist....

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Q: Activity 2. valuate the following its by applying thê different Theorem discussed. 1. lim (3x – 2)(x...

A: To evaluate the limit using the different limit theorems.

Q: 4. What is the slope of a roof on a house that has a vertical height of 2.4 feet from the ceiling of...

A: topic - slope 

Q: sing permuations or combinations: Six people were asked to randomly select one food item from a lis...

A: topic- permutation and combination

Q: ) dx (D) [ + 4 dx (C) 2 + 2 2x

A: We have to choose the correct answer from the given options according to the given information

Q: Your stock market investment has a half life of 1 day. Your current investment is $10,000. You would...

A: Solution: after 1-day amount will be = $5000  

Q: Just answer no. 1-3 thank

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Q: Write the composite function in the form f(g(x)). y = e³V7 u = g(x) = y = f{u) = f(g(x)) Then find t...

A: To write the given function in composite form.

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n = 5 P5(x) = %3D

A: Given:      fx=e-x, n=5 Maclaurin series is given by fx=∑k=0∞fkak!xk In our case fx≈Px=∑k=05fkak!xk ...

Q: Solve the given differential equation by undetermined coefficients. у4) — 2у" + у" %3D еx + 1 2 x vx...

A: Here, the characteristic equation is     m4-2m3+m2=0. Now,              m4-2m3+m2=0⇒m2m-12=0⇒m=0  or...

Q: Find the area of the inner loop of r = 3+4 cos 0 O 0.3806 O 0.6803 O 0.6308 O 0.8360

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Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm / minute. How fast is the volu...

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Q: A retailer anticipates selling 4,950 units of its product at a uniform rate over the next year. Each...

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