Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where f(c)=fave fave= c=

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: Parametric Equations x=² y=2² fy slope Point t = -2

A: Givenx=1ty=t2t=-2   We are required to find the value ofdydxd2ydx2Slope

Q: Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if…

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: marginal cost for a company to produce q items is given by MC(g) = 0.005q^2 - 0.7q + 650. The…

A: Given query is to find the cost at production level 14.

Q: Evaluate the integral: (¹ r²₂/r3 ± 3dt

A: Given query is to find the integral.

Q: A river is flowing downstream at a constant rate of 5 ft/s. We take a rectangular net that is 6 ft…

A: Given river velocity ( v ) = 5 ftsrectangular net whose area is A A = length × breadth

Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: According to question,Given Series,∑n=1∞ 4n23

Q: Fundamental Theorem of Calculus to find the "area under curve" of y=−x2+9x betweenx=3 and x=7. In…

A: Given query is to find the area under the curve.

Q: The function f(x) This function has a local maximum at x = with value = 5x+9 - 1 has one local…

A: The objective is to solve the above question.

Q: Check Point 3 If sin 0 < 0 and cos 0 < 0, name the quadrant in which angle lies.

A:

Q: Find the surface area of the rectangular solid with with length 1 = 6.8 ft, width w = 4.5 ft, and…

A: The rectangular solid has length l=6.8 ft, width w=4.5 ft, and height h=2.7 ft. We have to find the…

Q: 2 ‚ ( ² + + + + ) ² = (-²/² - C y lim (x,y)→(3,4) ▼ x

A: To evaluate the following limit.limx, y→3, 4 1x+1y2

Q: Find the area of the region between the curves y = x³ and y = x² + 6x. Area between curves =

A: Given, y=x3, y=x2+6x

Q: Determine which of the following is the particular solution for the differential equation…

A: To determine the particular solution for the following differential equation.D2-4D+6y=6ex

Q: An election ballot asks voters to select four city commissioners from a group of twelve candidates.…

A: We have to find the number of ways that four commissioners are selected from a group of 12…

Q: 7. If y = (x³ - cos x), then y' = (A) 5(x³ - cos .x)* (B) 5(3x² + sin x) (C) 5(3x² + sin x) (D)…

A: As per the guidelines we can answer only one question at a time so if you need more answers kindly…

Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 -sin 2x 15 -sin2x O c. 1 ➡cos2x 10 O d. 1 15 O e. none…

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Q: Consider the function f(x) = 8√x + 5 on the interval [1, 8]. Find the average or mean slope of the…

A: Givenf(x)=8x+5We are required to find the average or mean slope of the function on the interval…

Q: B If angle C measures 3(2x + 2) degrees, and angle A is 30 degrees, what is a? x =

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Q: b. Given the vectors a=2i-j+2 k, b=3 i + 2 j -k, c =i+2 k i. Calculate: 2a-(b-3c) ii. Determine the…

A: "According to the guidelines issued by the company We are supposed to answer only first three…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x³. -7√x 1. X dx

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Q: ind the producers' surplus at a price level of p = $63 for the price-supply equation below. p=…

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Q: (D2 + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O C. O d. 11 8 11 8 11 X 8 3 + X O e. none 3 + X 3 X…

A: Given , (D²+5D+4)y= 3-2x So, yp=1/(D²+5D+4) {3-2x}

Q: Express the limit as a definite integral on the given interval LC lim Exi In(2 + x?) Δx, [0,1] i=1…

A: Please see the below answer.

Q: (D3-4D2)y = 5, Find Yp O a. 5x² 4 O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 O e. none

A: To find Yp

Q: B. Eliminate the arbitrary constants in the equation y = C₁e²x+c₂e³ +6e". Use (a) elimination method…

A:

Q: 11. 7(t) = (cost, e¹, Int)

A: Given rt=cost,et,lnt We know that dcostdt=-sintdetdt=etdlntdt=1t

Q: The demand curve for a certain product is given by p(a) = 535-q^2. The supply curve is given by P(q)…

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Q: Set up and evaluate the integral for the area of the shaded region. y = 4-x y=16-x² Set up the…

A: Given two curves y = 4 - x y = 16 - x2first find intersection points 4 - x = 16 - x2x2 - x - 12 = 0…

Q: Evaluate • fff ²² e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y²…

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Q: Use a power series to represent the function f(x) Provide your answer below: ΣΟ n=0 5x + 3 I…

A: NOTE: Refresh your page if you can't see any equations. . as we know,

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: we know that  ∫1a2-x2dx=sin-1(xa)+c∫70t1-t4dt=70∫t12-(t2)2dtlet   t2=x

Q: Determine which of the following is the particular solution for the differential equation (D² -…

A: The given differential equation is; (D2-2D+2)y=(-8cos3x+24sin3x)e-x

Q: Express the limit as a definite integral on the given interval. 4 lim [3 - 4(x,*)² + 6(x;*)³] Ax,…

A: Given:- limn→∞∑i=1n3-4xi*2+6xi*3∆x Interval 0,4

Q: (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp O a. O b. O C. O d. C₁e* + C₂e² + 1 2r 12 e -X C₁e + C₂…

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Q: Use implicit differentiation to find d2y/dx2 in terms of x and y.  3x2+2y2 = 5

A: The given differential equation is  3x2+2y2=5 We have to find the d2ydx2.

Q: III. Find the equations of the tangent and normal to each at a given point. Show the graph. You may…

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: Use the Ratio or Root Test to determine the convergence or divergence of the series. 5n-1 40 +7 n=1

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Q: ") Triangle ABC is Drawn with a 125cm C= 9.8cm and LA=59' The messure of Lc is? Ⓒ is an angle in…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

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Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

A:

Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: The temperature of a room, in degrees Fahrenheit, on a certain day is modeled by the function f…

A:

Q: Find the roots of (D4 + D² + 1) O a. 1± √3 0*1+√³. 2 1± √√3 2 b. Ob-1± √³, -1 ± √3 -1± √√3 2 2 OC.…

A:

Q: Consider the series n=1 (3x)" n Find the interval of convergence of this power series by first using…

A: Radius of convergence of the series, ∑n=1∞anxn  is given by, R=limn-&gt;∞anan+1

Q: 4. Use a linear approximation to estimate tan (47°).

A: Let's find value of tan(47°) by using linear approximation.

Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

A: Given query is to find the area of the region.