h(x) = 2x²-x-6 x-1 (2x+3)(x-2) (x - 1)

Q: Given: z = x² + xy¹, x = uv² +w², y=u+vew дz δω Find when u = — −3, v = −2, w=0

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Q: Get T, N, and kappa for the spatial curves of the exercises. 9. r(t) (3 sent)i + (3 cost)j + 4rk 11.…

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

Q: 2-0 3. Let f(x) = 2x³+4x-4. Use the intermediate-value theorem to estimate the location of the zero…

A: Given: f(x) = 2x3 + 4x - 4  Interval: [ 0 , 1 ]

Q: Denote the size of a population at time t by N), and assume that N(0)-75 and organisms to become…

A: Given: N(0) = 75 dNdt≤15 t have [ 0 , 5 ]

Q: get

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Q: ist all critical points of g(t) = (t − 3)et – 2/t(t – 4). - -

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Q: Use a graphing utility to evaluate the logarithm by the methods given below. (Round your answers to…

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Q: the open interval(s) where the following function is increasing, decreasing, or constant. Express…

A: Given query is to find the interval where function is increasing and decreasing.

Q: Let C be the curve y = = 18+ 16- 14- 12- 10- 8 4 2 2x³ for 0 ≤ x ≤ 2.1. 0.5 1.5 za Find the surface…

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Q: Evaluate the integral. 3 L²F(x) -4 f(x) dx where f(x) = (3 16- x² if -4 ≤ x ≤0 if 0 < x≤ 3

A: Given function:- fx=3if -4≤x≤06-x2if 0&lt;x≤3

Q: Exercises Binomial Theorem and Bayes Theorem 10 ¹ [(x - 1)²⁰. 1. Find the binomial expansion of the…

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Q: 35. (10-6y+e-3) dx-2dy-0

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Use the sign chart for f'(x) to determine whether f has a local minimum f (x) a O C d I X = C x = b…

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Q: Let f(x,y) = 3x³y + 4xy4. Find a²fa²fa²f ax²¹ ay ²¹ axay' and 2²f ayəx

A: We need to find out the partial derivatives.

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros:…

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Q: given initial-value problem. The DE is a Bernoulli equation. x2 dy - 2xy = 6y¹, y(1) = 1/3 dx

A: See the details solution in below

Q: Give the limit as x approaches 2 of f(x). If the limit does not exist type DNE. f(x) = √x +3 x≤2 3x…

A: Given query is to find the Indicated limit.

Q: The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 7³. Express r as a…

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Q: log, (log₂ (6x − 1)) = 2. -

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Q: 4) For what values of p will both series (D) < p < only Σ., and Σ(5) converge? (B) < p <5 only (E)…

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

Q: f(x) = 2x^2/2x^2-1 Find x- and y- intercepts Find all vertical asymptotes and horizontal…

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Q: 1/n n=19+(Inn)² 15) Σ. test: converges/diverges

A: Given seires:- ∑n=1∞1n9+lnn2

Q: D. Given two vectors =[6,2] a and v=[-2,1]. determine the projection of " on v

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Q: Given ƒ¹(x) = (x² + 1) (x − 5) (x + 2), which critical number corresponds to a local minimum?

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Q: » Σ(3) 12) test: converges/diverges

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

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Q: 1 X√ 16x² - 3 dx

A: Use substitution method   Let u =1/x .

Q: Find both first partial derivatives. z = cos(8xy) дz ?х дz ду = ||

A: We need to find Partial derivative.

Q: Solve y'+by+9y = 0, y(0) = −2, y'(0) = 7 y(t) =

A: Given :

Q: is conservative. a= F(x, y) = 2.x (3.y + 1)i + a.x²j Next find a scalar potential for the vector…

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Q: 120. Find the volume generated by revolving the curve y = cos(3x) about the x-axis, 0 ≤ x ≤ 36 ·

A: The given curve is: y=cos3x, 0≤x≤π36  Find the volume generated by revolving about the x-axis.

Q: Hugo is serving fruit sorbet at his party. He has 1 gallon of fruit sorbet to serve to 32 friends.…

A: total fruit ara 1 gallon total peoples are 32we know  1 gallon=16 cups

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. -√x…

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Q: Let f(x) be a continuous function defined on the interval 2 < x <∞o such that f(3) = -13 |f(x) < x²…

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Q: Consider the following. f(x, y) = x + y y (1, 1) D (a) Express the double integral 2 x SS. f(x, y)…

A: Given figure:-

Q: e* sin x dx =

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Q: Suppose that f(x, y) = 3x + 2y at which −1 ≤ x ≤ 1, −1 ≤ y ≤ 1. Absolute minimum of f(x, y) is…

A: We have the function f(x,y)=3x+2yAnd the domain is -1≤x≤1,-1≤y≤1.

Q: y=3+1/x^2, compressed horizontally by a factor of 2

A: Given query is to apply the Indicated transformation.

Q: for the pervious answer Rewrite h(x)  using negative exponents and find the derivative using the…

A: To Rewrite h(x)  using negative exponents and find the derivative using the Product Rule.

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy dx - 2xy = 6yª, y(1) =…

A: Use substitution  z = 1/y3  Then it is converted into exact differetial  equation.

Q: Suppose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional (2, 1) and at…

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Q: 35. y" - 2y"+y' = 2 - 24e* +40e³x, y(0) = 1, y'(0)=, y"(0) = −²

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Q: 1. Based on data from the US Census Bureau, the US population in 1990 was approximately 250 million…

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Q: 8. Simplify log, (m) + log, (n) log, (m-n) log, (m+n) log, (mn) log₂ (m-n)

A: loga(m) + loga(n) = loga(mn) . loga(m)-loga(n) =logamn .

Q: y= 2x5-3, find y"" O 10x4 O 120 x² O 40x³ O none of these answers

A: To find derivative

Q: Q17 The sum of the arithmetic series: 8, 20, 32, 44,.. when n = 10 is equal to Q18 Fill in the Blank…

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

Q: f(x)=√√, find f'(x) O (1/2)x Onone of these answers O(-1/2)x1/2 1

A: The solution is given below

Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional (3, -1) and at…

A: Given query is to find direction derivative.

Q: Express the function in the form f o g. (Use non-identity functions for f and g.) u(t) = √✓tan(t) {0…

A: given  u(t)=tant