Which of the following answer choices correctly graphs the equation below? y=sin(x+ π/3) −1

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: We have to find the total cost.

Q: evaluat e the fallowing integrais by interpheting them as areas of geome thic Objects la) So (20-4x)…

A: Given problem:-

Q: Use the derivative to find the exact critical points and intervals of increase and decrease for f(x)…

A: 1. Local maximums and local minimum values2. fx=4x3-21x2-24x+5

Q: Use the Definition of a Definite Integral or Theorem 4 from Section 5.2 to find the exact value of…

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Q: determine your answer. Show your work to justify your answer. x+3 3uf(x) = ,c = 3 x-3 Aw f(x)= x +…

A: To solve the following problem

Q: 1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Test the series for convergence or divergence. Eh=1 n35n (n+ 2)!

A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

Q: 0.5 -5 -4 2 -0.5- -1.5 Find the following limits, if they exist. 3. lim f(x) X-3 4. lim f(x) X-2

A: We have to find the limit of the function by observing the given graph.

Q: 2. Two ponds are connected and fed by a single stream flowing through them. Pond A holds 500, 000…

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Q: Sketch the graph of the given polar equations. 5 17. 0 = 6. %3D

A: sketch the graph using value of theta.

Q: 5y+10=4y-10

A: 5y+10 = 4y-10 Now add 10 to both sides then we have, 5y+10+10 = 4y-10+10 5y+20 = 4y Now subtract 20…

Q: C. VARIATION OF PARAMETERS 2. (D² – 3D + 2)y 1+e-x

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Q: ain:

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Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: B a12 16 Havithmetis sequence first tom anas and its hasis r= -2 its seven the termay?? 2-17 O az217…

A: Answer -  a1 = 5 Difference (r) = -2 Find 7th sequence

Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

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Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Evaluate the definite integral. e4t i+ e-j+t k)dt O et – 1 – (e-1 – 1). 4 2 O e4 i – 1 j + k 4 (e* –…

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Q: g(e) = . Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.…

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Q: f(x)=(x^2+10x+1)e^-x Find the critical points and determine whether it is a local maximum, local…

A: Critical points are points where the function is defined and its derivative is zero or…

Q: Зx+2 xp- 1-25x2

A: Given

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: A region bounded byf (y) = Vỹ + 1, y = 4, y = 9, and x = 1 is shown. What is the volume of the solid…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: Differentiate R and C with respect to time .

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…

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

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Q: (1–3)* (t³ -8) t + 2 4. 2-t

A: Given problem:- y= (1-3)5(t3-8)/(2-t)  To find:-  find derivative of given function

Q: 4. Sx2(x3 -3)³dx dv 5. S7 v+7)3

A:

Q: f(t) = t.e-8t + 4 t.e-3.cos(2t) + (t².e-2t) ,t>0

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Convert the equation, 5r csc(0), from polar coordinates into rectangular coordinates. Hint: Enter an…

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Q: 2. Evaluate the following definite integrals: S dx -22-x b. S32 sinx dx а. С.

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Q: Consider a triangle ABC like the one below. Suppose that B=114°, C=40°, and c=47. (The figure is not…

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Q: region bounded by f(x) = 3- X, y = 0, and x = 1 is shown. /hat is the volume of the solid formed by…

A: Follow next step

Q: Let f be integrable on [-a,a]. If f is an even function, then f(x)dx is equal to a -a 2 f(x)dx

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Q: Find the Taylor series centered at x 3 for the given function. f (x) = In(x+ 2)

A: Here, the given function is: f(x)=ln(x+2) Now, f(3)=ln(3+2)=ln…

Q: 2. Find the maximum value of the directional derivative, D f, of the function _2 f(x, y, z) = x´ +…

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Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E 1 as a telescoping series and find its…

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Q: y" + 5y' = 0

A: Use the homogeneous differential equation method to solve the second order differential equation.

Q: g is defined by g: [0,1/1] → R

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Q: Convert the point Cr,e)f from polar to nectangular COordinates (xx) 5T 3. ब्लज( कथावक 2)(a,)

A: To convert the given point from its polar form to rectangular form

Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

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

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Q: Determine the area outside the black graph given by r(0)=1+7cose and inside the red graph given by…

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

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Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

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Q: -3x cos (5x)dx

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Q: 1. Let f be a function satisfying the following properties: lim [f(r) – (x + 2)] = 0 continuous on…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x – 12x – 3 on the interval [1, 5], how many…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: Let vector Ñ be normal to plane x – 5y – 2z = 3, and let Ē = (3, – 2, 1). Find the following. 1. The…

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