Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 3] x2 - x + 1 absolute minimum value absolute maximum value

Q: dy 1 Let u = tan-y sin y – cos y -

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Q: Find ALL extremum of the function g(x) = xV4 – x (-00, 4]. Use both the derivative and on then Desmo...

A: To find out the extremum of the function. 

Q: Evaluate the integral. dx 9, NOTE: Enter the exact answer.

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Q: (3 – x if x < 2 if x 22 - 4. f(x) = { is discontinuous on the interval (- 0, 2] %3D -3

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Sæ² – 4x + 1, x 4 Evaluate the following limits for h(x) and Justify your answer. | (i) lim h(x) = ...

A: Given :h(x)=x2-4x+1x&lt;45-xx≥4

Q: Write down the first derivative of each function in the space provided. Do NOT simplify your answers...

A: Solving questions 

Q: Evaluate lim p(x) which P(x)={-+1, x1 O A. lim p(x)=0 and lim p(x)=0, then, lim p(x)=0 lim_ p(x)=-2 ...

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Q: Let f be a function defined by z = f(x, y) = 3xy? – 4y. Find the actual change in z when x changes f...

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Q: z² - 5x + 1, "I 5 Evaluate the following limits for h(z) = and Justify your answen %3D (1) lim h(r)...

A: Solving

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

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Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).

A: Let's find. 

Q: Find the indefinite integral using the substitution x = 8 sin 0. (Remember to use absolute values V6...

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Q: ; find value of matrix A eigen -2 A = 2. 2.

A: To find the eigen value of the given matrix A , we have to evaluate the determinant of A-λI and then...

Q: Find the vector component of v = (4, —1, 7) along b = (4, 4, —7) and the vector component of v ortho...

A: Given,           The two vectors are v=4,-1,7 and b=4, 4,-7.To find : 1 The vector component of v al...

Q: Find an algebraic expression equal to sec(cot" (3x)). (You may assume that - < cot (3x) < .) Provide...

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Q: Find Z, * Z, and Z,/ Z2 Write the answers in rectangular form (a + ib). Z, = v2(cos" +i sin), Z2 = v...

A: Need to find Z1·Z2 and Z1Z2 Given information: Z1=2cosπ4+isinπ4, Z2=3cosπ12+isinπ12

Q: A division of a certain company manufactures a pager. The weekly fixed cost for the division is $20,...

A: Given  fixed cost = $20000 variable cost V(x) = 0.000001x3 − 0.03x2 + 70x Total cost  c(x) = fixed c...

Q: If f(x) = 5 cot + 4, then find the value of f'(-9) is %3D -5 82 -4 82 V 82 00 V 82

A: Solve for the derivative

Q: The demand function for a good isp = 42 – 0.01q. Round your numeric answers to one decimal place. a)...

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Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² + 1...

A: Here we have to find the area of the region bounded by the two parabolas.

Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.2 cm/min. At what is...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: Find your answer below 

Q: II. Solve the following problems. 1. Find the equation of the ellipse with foci at (-2,0) and (2,3) ...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: %24 C(q) 240 160 80 b. 5 10 15 20 25 30 (a) Estimate the fixed costs and the marginal cost for the c...

A: We have to find fixed cost, marginal cost and c(10). 

Q: ) Find the number k>0 such that the region bounded by the curves y = x² and y = kx has area 9 square...

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Q: I2x-1 1. \sx+61

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Q: 5-5 18. dy dx 5-5x

A: Given that,

Q: Rewrite the following integral using substitution: sẽ (1 + 3x)?dx

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Q: Given yz + x? z3 = e"y². Use implicit dz differentiation to find

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Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

A: Given query is to find the series of the expression.

Q: Sz? - 5x + 1, -T 5 Evaluate the following limits for h(r) = and Justify your answer. (1) lim h(r)= ...

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Q: Given y = f(u) and u = g(x), find dy dy dy du by using Leibniz's notation for the chain rule: dx dx ...

A: Given y=fu and u=gx, to find dydx by using Leibniz's notation for the chain rule: dydx=dydududx.y=5u...

Q: 1.a)Find the area of the surface generated by revolving the curve y=√(121-x^2), −1 ≤ x ≤ 1 about the...

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Q: 2. Solve the measure of the indicated angles using Figure 2. a. mzK = b. mzl = c. m2C = K (7x + 5) %...

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Q: er the integral is improper. sin(x) 61 + x2 xp O proper O improper Explain your reasoning. (Select a...

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Q: Find the tangent plane to the surface at the given point. 2x+ 3y z= at P (2, – 1, 1) x+y

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Q: 4か さ n=0

A: To determine whether the given sequence converges or diverges.1+4n4nn=0∞

Q: d dx 4(-10x-4) = O

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Q: List the values of x at which f has a local minimum. Select the correct choice below and fill in any...

A: Lowest points of all ,after that function start increasing is called local minima.

Q: Problem 9. Use the following propositions to draw the corresponding Venn diagram. а. (Gray area is t...

A: The following is the Venn diagram.  

Q: 3 Let f be a continuous function such that f(x) dæ = -6 and c10 c10 | f(x) dx = 3. What is the value...

A: ∫-2-3 f(x)dx = -6 so if we change the limit of integration ∫-3-2 f(x)dx =+6 ∫-210  f(x)dx =3 so ∫-31...

Q: Evaluate the Definite Integral sin'y dy - Blank 1 Note, the answers should be three decimal places o...

A: ∫0π3sin3ydyconsider∫sin3ydylet u=cosydifferentiate on both sidesdu=-sinydy  since u=cosy  ⇒u2=cos2y ...

Q: The velocity and initial position are given. Find the position function. r(0) = (1, 2, 3) v(t) = (e3...

A: Given that, initial position function r(0) =1, 2,3  and  v(t) =e3t, sint, 6t where v(t) is the veloc...

Q: Rewrite the following integral using substitution: 6"s in 3xdx

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Q: Set up the double integral that finds the volume of the solid under the surface z = 8x² + 3y over th...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: 4 2xdx х2 — 4х + 8

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Q: Evaluate: a² – y? =??? lim (x, y)-(3, –3) x+ y

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Q: Find the derivative of h(x) = cos (2x3 - 5). %3D Provide your answer below: W(x)= O %3D

A: We will find the derivative of h(x) in the following step.