Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using Interval notation. If an answer does not exist, enter DNE.) y=-x³ + 9x² - 3 concave upward concave downward Submit Answer

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Q: Evaluate £¹₁7 x8 − 7 x³ + 7 x² dx. Round your answer to two decimal places. £²₁7 r8 − 7 x³ +7 r² dr…

A: Given definite integral is: ∫-11(7x8-7x3+7x2) dx

Q: Find the tangent plane to the equation z = - 3x² + 2y² + 4y at the point (4, 1, - 42). 2 = Check…

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

Q: 2. Which expression represents the volume of the rectangular prism shown? 2x - 3 a) (2x - 3) + (3x +…

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Q: for evey 2 adults there are 3 children if 275 ppl attend how many kids are there

A: given that, for every 2 adults,there are 3 children total number of people=275 how many kids are…

Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x) = 7x² − 14x + 4…

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Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

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Q: Find the average value of the function over the given Interval. (Round your answer to three decimal…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + 7 x dy = (3x72xx)dx…

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Q: Find the flux of F across S, [/F. Nds where N is the upward unit normal vector to S. F(x, y, z) =…

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Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A: The given function is x2-y2+2xz-xy+yz.

Q: (b) If z= 3x² + y² 4xy Hence, Show that find ôz dz dx dy Ox 3 3x a²z y a²z y ổr x ô and =0 8² z 2…

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Q: Find the second derivative of the vector-valued function r(t) = (4t+ 3 sin(t))i + (5t + 3 cos (t))…

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Q: Evaluate the limit. Note: Enter two 'o's to make infinity (oo). 1 [ In(t-2) lim e³-t Check Answer

A: Given problem:- limt→∞4t,e3-t,1lnt-2

Q: 3x³-28x² +40x-42 3x² - 4x+5 dx

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Q: Let a = . Find al. Check Answer

A: Given a→=<5,-1,-4>To find: a→

Q: 2 (2y² + 5xy 4 Ο α. χ' (y² + 2xy = y + 2) = C O b. x4 (y² O 2y + 4) dx + x (2x + 2y − 1) dy = 0 - -…

A: The given differential equation is; 2(2y2+5xy-2y+4)dx+x(2x+2y-1)dy=0.

Q: Assume the coordinates are integers. Determine the coordinates of the point shown. (Type an ordered…

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Q: Let f be a continuous function such that -6 [', f(x) dx = 9. What is the value of -3 f(x) dx = -10…

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Q: 1. Evaluate the following matrix operation: [5 3 a. A = 1 -4-3-1 L2 b. |B| C. C = 31-33+231 5+20 0 1…

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Q: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: We need to find vector.

Q: Solve for the General or Particular Solution of the following Linear Differential Equation. dr de 4…

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Q: Find 2 -1 (3x³ + 7x¹) dx

A: Here we have to solve definite integral

Q: 1. Which of the following relations is a function? a) {(1,9), (2, 4), (2, 3), (4, 15)} {(2, 7), (7,…

A: Recall:  A function can be defined as a relation between "each of its inputs" to "exactly one…

Q: 2 x 0 2x+53 +18x+130 -dx

A: In this question we have to solve the given Integral.∫012x+53x2+18x+130dx

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Q: 7. Find: y = In dx √6x-5 [ Lex (x+1)³.

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Q: Assume that the shape of the athlete's high-jump is parabolic. the function, in vertex form, where…

A: The axis of symmetry is t = 0.6 and the maximum height is 1.80 mhence the vertex is  (0.6, 1.80)

Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: Let E be the solid below z = 50- x² - y² and above the square [-5, 5] × [-5, 5] Given the solid has…

A: Let's find moment of inertia of E about z axis.

Q: Solve (2y² + 3xy - 2y + 6x) dx + x (x + 2y - 1) dy=0 a. x² (y² + xy b. y + 2x) = C y² (y² + xy + y +…

A: Please see the below picture for detailed solution.

Q: a) Use the Newton-Raphson method to solve the following equation for x to six decim x - ln x=8 (Use…

A: Here we have to use the Newton's raphson method

Q: In this question, consider the vectors 10 8 V1 ~- - ( ) - ~- - ( ) - - - () ---- () v2 = V3 = b and…

A: The objective of the question is determine the coefficient matrix" A" without simplifying.

Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8-7-6 -5 4 -3 13…

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Q: Evaluate the following integral over the Region R. (Answer accurate to 4 significant places). SS R…

A: In this question, we need to evaluate the given integral.

Q: UX = Iz = uz = ly = Find the limits of integration ly, uy, Ix, ux, lz, uz (some of which will…

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Q: Answer the following True or False. If g(x) is a continuous function and h(x) is differentiable such…

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Q: Evaluate f(x, y, z) dV for the specified function f and B: JB f(x, y, z) dV = f(x, y, z) = Z x 2 ≤ x…

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: Solve the following first order differential equation: dy y² +49 +3 35 4 x² + 2x³-3x² dx == 0 given…

A: Differential equation: 35x4+2x3-3x2·dydx-y2+49x3=0

Q: Solve the differential equation (1 + y² + xy²) dx + (x²y + y + 2xy) dy = 0

A: Solve the exact differential equation  1+y2+xy2dx+x2y+y+2xydy=0

Q: Let P be the set of positive real numbers. One can show that the set P³ = {(x, y, z)|x, y, z € P}…

A: The objective of the question is determine the vector .

Q: What is the perimeter of an equilateral triangle inscribed in a circle with a diameter of 20 cm?

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y² = 4 and…

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Q: Solve (2y² + 3xy a. - 2y + 6x) dx + x (x + 2y x² (y² + xy + y + 2x) = C b. O c. x² (y² + xy y² (y² +…

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Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Given f''(x) = 6x + 3 and f'(-1) = 6 and f(1) = 6. Find f'(x)= and find f(4) =

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Problem Set #1. (w/Answer Key) 1. x²y' = x²+1 3y² +1 1. y(y² + 1) = (x² + Cx - 1) X

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