Please help answer question 7 and 8 thank you

Q: Find the equation of the regression line for the given points. Round any final values to the nearest…

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Q: ƒ(x) = 3x³ – 2x, [−1, 8]

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Q: Compute the values of dy and Ay for the function y = 22 + 3x given z = 0 and Az = dz = 0.03. Round…

A: dexdx=exd(constant)dx=0△y=f(x+△x)-f(x)

Q: 5. Find the slope of f(x) hundredth. = In (7x²+7) 2 at (2,1.78). Use a graphing utility and round to…

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Q: Solve

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Q: QUESTION 6 Find the minimum value of the function y = -4 x3 + 60 x²-252 x + 4 for values of x…

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Q: a. Sketch the graph of y = e 2 labelling all important features including any asymptotes and…

A: (a) Given that,           y = ex-2 Vertical Asymptote: None Horizontal Asymptote: y = -2. Intercept…

Q: (a) Find the arc length function for the curve y = 4(x + 1)³/² with starting point Po(0,4).

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Q: n(-5)n n! n 25 (a) Find the ratio of successive terms. Write your answer as a fully simplified…

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Q: 5. At a certain point on the beach, a post sticks out of the sa the beach. The depth of the water at…

A: “Since you have posted multiple questions we will solve first three subparts for you. To get…

Q: 6. Suppose that f(r) when > 0. Find df (r)/dr.

A: The given function is: f(x)=xex2

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: find critical points

Q: Assume that the carrying capacity for a certain region is 800 million. The population was 282…

A: As we know ⇒Pt=M1+Ae-kt , A=M-P0P0⇒M=Carrying capacity ⇒P0=Initial population⇒Pt= Population at time…

Q: Determine the interval(s) on which the graph of the function is concave downward. a. (-∞, 1) b.…

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Q: Use power series to integrate f(x) = X 1+xA

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Q: (a) none of these ∞ 1 Στ η2 n=1 ∞ (6) Σ (c) n=1 (−1)n η α (2) Σ n=0 ∞ (0) Σ n=0 η η2 + 1 (−1)"n η3 +…

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Q: . What is the volume of the tetrahedron bounded by x+y+z=5, x = 0, y = 0, z = 0 ? the planes

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Q: Find the absolute extrema of the function f(x) = 2x³ - 3x² - 12x + 2 on the closed interval [-2, 3].…

A: The given function is; f(x)=2x3-3x2-12x+2 on interval [-2,3]

Q: D. Water is dripping through a conical coffee filter at a rate of 11 cubic inches per second. The…

A: Given that  the rate of decreasing volume of water at 11 inch3 per second.Diameter of cone is 8…

Q: (3-x² if x ≤ 1 For the function f(x) = if x > 1 Theorem is satisfied. Then find all values of c on…

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Q: For the problem stated find the average value over the interval given, then determine the c that…

A: Given, f(x)=-32x-612, [3, 5]

Q: If ƒ(x) = (x6 + 4x²)³, then f(x) equals dx

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Q: a rancher with 800 meters of electric fencing for constructing a rectangular corral . one side if…

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Q: Determine the general/particular solution (whichever applies): y"-6y +25y=64e- Oy=e³ [c₁cos(4x) +c…

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Q: Introduction to Calculus in Physics: Calculus is a powerful tool used in all areas of physics. One…

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Q: Evaluate SSSs xy sin (yz) dV if is is the rectangular parallel piped bounded by the planes x= π ₁ Y…

A: Please see the below picture for detailed solution.

Q: Multiply. (2√2-3√5) (2√2+3√/5)

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Q: O Concave up: (2,∞ ) Concave down: (-∞0,2)

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Q: F. If the circumference of a circle is increasing at a constant rate of 4 feet per second, how fast…

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Q: 5) y = sin(0 + ²) + 4 2

A: We have to graph the given function.

Q: -)5. Find the particular solution of the differential equation y' - 3xe = e that satisfies the…

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Q: clnx ²²x yez dzdxdy y 0

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Q: y" + 6y +34y=0 y(0) = -1 y(0) = 13

A: Given differential equation  y''+6y''+34y=0  , y0=-1,y'0=13

Q: Find the volume created when rotating the area bounded by y = 6x - x2 and y= 2x around the x-axis.…

A: The given curves are: y=6x-x2      and       y=2x

Q: 4. In biology the predator-prey model is used to predict the number of prey animals, R, at a…

A: Part (a) The graph of this relationship would be given as

Q: Find the limit. lim (1+sin(9x)) cot(x) X-0+ The value of the limit is

A: The given limit is; limx-0+ [1+sin(9x)]cot(x) Repost the next question.

Q: For the series below calculat indicated accuracy. Σ n=1 - 1)^6 n1.3 lerror] < 0.01

A: The given series is: ∑n=1∞-1n6n1·3|error|&lt;0.01 In order to find the number of n terms that must…

Q: SC 3x (x+2) ³) dx

A: ∫xndx=xn+1n+1+cA=∫(3x(x+2)3)dx

Q: (a) Find the length of the curve r(t) =(√2t)i + (√2t)j + (1-t2)k from (0,0,1) to (√2, √2,0). (b)…

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

Q: 6. Find the volume of revolution formed by revolving the region bounded by y = e², y = e², and x =…

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Q: 7. Assume that the carrying capacity for a certain region is 800 million. The population was 282…

A: Law of growth P = P0ektWhere P = population at time t P0 = initial population = 282 k = constant t =…

Q: Find: 1+ cos² (0) cos²(0) ○ cos²0+C O tan0+0+C O tan²0+0+ C O sine + cose + C f¹+ · dᎾ

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Q: 6) y = sin | 0 + in (6 Зл 2 -П NE П Зл 2 41 +1 П L 2 П Зл 2

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Q: 15. Write each of the following in scientific notation without using a calculator. a. 1783411.56 c.…

A: according to bartleby guide line we do only first three parts a)    I=1783411.56a number is written…

Q: Use the matrices below to perform matrix multiplication. B-[-37 B= 3 7 4 -8 0 12 If the operation is…

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Q: Evaluate the limits. Enter DNE if the limit does not exist. a) lim g(x) = x-2- b) lim g(x) = x--2+…

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Q: A. José is blowing up a beach ball at a constant rate of 9 cubic centimeters per 2048 second. When…

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Q: 4. Expand the following expression using the properties of the logarithms. Assume x and y are…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Problem 9 If the temperature at the point (x, y, z) is given by T(x,y,z) = 80 +5e-Z(x-2 +y-1) find…

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Q: 12. The function f(x) and its first and second derivatives are as given below. 1-x x² (a) Domain of…

A: The given function fx=1-xx2, f'x=x-2x3, f''x=6-2xx4. We have to find the domain, intercepts,…