A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When does the company start to turn a profit?   Enter the exact answer.   If there is no solution, enter NS. If there is an infinite number of solutions, enter IS.   x=

Q: divergence. , (-1)"-1 R 2n Test the series for convergence or

A: Here we use the ratio test for convergenceFor a series ∑an  then limn→∞an+1an=L then (i)  if L<1…

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Q: Basic Derivatives: Find the derivative = (1 + vx* kx° V 8. f(x)=- 7x – 4x? x +2x y° – 5y³ + 2y 6.…

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Q: Consider a triangle ABC like the one below. Suppose that a=32, b=31, and c= 18. (The figure is not…

A: The given question can be solved as shown in step2.

Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

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Q: 4. For each of the following, state whether the equation is ordinary or partial, linear or…

A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

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Q: A RI) doliars is the total revenue from the sale of x television sets. Rx} = 600 x- Find the 20…

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Q: d?y +5xy = 0 dx +(sin x) 2 dy +2 dx dr3 = 1 dx2 O Option 1 O Option 2 d²y +3y dy dy dx? +y = 5x dy…

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Q: E(0.1)"-1 + (0.9)"] n =1 Determine whether the given sequence converges or diverges. If it…

A: This is a problem related to series and sum calculation. Based on the general formula we will solve…

Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = 11 cos(3t)i+ 11 sin(3t)j+ 7tk…

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Q: Use the information about values of the functions and their derivatives to calculate H'(5), where…

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Q: 1. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: 3. Four inhabitants of a small island return from a vacation infected by a contagious disease. The…

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Q: Find the following indefinite integral. dt

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Q: -3x cos (5x)dx

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Q: Determine the number at which h(x) = V16 – x² is continuous. - Determine the largest interval on…

A: h(x) = 16-x2 here in root &lt;0 is not  possible so 16 - x2&gt; 0 x &lt; 4 for this value function…

Q: Зx+2 xp- 1-25x2

A: Given

Q: Consider a triangle ABC like the one below. Suppose that A= 128°, C=25°, and b= 56. (The figure is…

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Q: S) Vx + 7 dx

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Q: F the curve. -)i + sin(nt)j

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Q: 1. a. Use the substitution u = e' and partial fraction decomposition to derive the following…

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Q: 993 + 5x + 0.16x2. Use e level of production is changed

A: We have to calculate level of production change .

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.)…

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Q: Evaluate the indefinite integral. dx 2 – 7x

A: Explanation of the answer is as follows

Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Given problem:-   Set up, but do not evaluate, an integral for the volume of the solid obtained by…

Q: Find the volume of a right circular cone that has a height of m and a base with a radius of 3.9 m.…

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Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: Sketch the region R of integration and switch the order of integration. f(x, y) dy dx y Show ,…

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Q: 10 11 Suppose f(x) dæ = 6 and | f(x) dæ = 5. 10 11 Then f(x) dæ -

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Q: 5x2 + x + 16 dx x3 + 4x 9)

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Q: g is defined by g: [0,1/1] → R

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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = = (-4, 3) %3D (a) u. v (b) (c) ||v||2 (d)…

A: Given: u=3, 11, v=-4, 3

Q: Find the direction cosines and angles of u and show that cos? a + cos2 B + cos2 y = 1. (Round your…

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Q: Evaluate the integral. 1 (4 + r)3 dr   0

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Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: A gardener with 600 meters of available fencing wishes to enclose a rectangular field and then…

A: Given problem:- A gardener with 600 meters of available fencing wishes to enclose a rectangular…

Q: Problem 5 Find the general solution of the following equation: y" + 2y'- 15y = 0. Find the…

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Q: Problem 7 Using the method of undetermined coefficients, find a particular solution yp of the…

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Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 5- 5- 3 2- 1 3…

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Q: Explain why the integral is improper. 25 05 O At least one of the limits of integration is not…

A: Here, the given integral is: ∫091xdx

Q: f(x) = (sin x – 1) cos x on 2'2.

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

Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t< 5

A: This question can be solved using the concept of length of arc of curve in parametric form.

Q: Let f(r) = r³ – 3x² + 4. Using the Mean Value Theorem, determine the value of c € (0, 3) such that…

A: A detailed solution is given below.