Find the absolute extrema of the function on the closed interval. f(x) = 4 – x, [-3, 2] minimum (х, у) %3D maximum (х, у) %3D

Q: a(t) =D 글 i+ j+ cott k. Find v(t) if

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Q: 9. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx2 ...

A: The answer is in step 2.

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

A: The tetrahedron with vertices P-3,2,0, Q2,1,-3, R1,0,1 and S3,-2,3

Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx F(b)-...

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Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: y2=9x5 , y=x-2x=5y29, x=y+2solving both the curves9x5=(x-2)2 9x=5(x2-4x+4)5x2-29x+20=0x=29±(-29)2-4(...

Q: Q22 coordinates of a point Sammy is given the cartesian (-1,-53), He lp Sammy find polar coor dinate...

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and...

A: topic - polynomials

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

A: Let's find. 

Q: (ii) Solve x(2z - 3y)p + y(3x + z)q + yz + 2xz = 0

A: ## x(2z-3y)p + y(3x+z)q + yz + 2xz = 0

Q: Consider the following limit A. Use a graphic calculator to find the limit B. Find the limit analy...

A: Solved below

Q: Determine whether the series is convergent ordivergent. the exact test that you Use. 00 Sinl 2. nこ1

A: To determine whether the given series is convergent or divergent.To write the exact test that you us...

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 − x − ln(x)   inter...

A: f(x)=x2-x-ln(x)f'(x)=2x-1-1xf'(x)=02x-1-1x=02x2-x-1x=0(undefined at x=0)2x2-x-1=0(2x+1)(x-1)=0critic...

Q: Evaluate S*dx Vx+1 à. (1 +)} B. - (1 + c. (1-5 + c D. - (1-5i + c + C В. + C 3 3 A OB Ос OD

A: The given options are wrong. We use power rule and integration by parts formula to evaluate the give...

Q: Evaluate S Vx+1 dx (1 + } -(1 + i (1-5 D. - (1-5)i A. + C C. + C B. + C + C

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Q: Let f be a differentiable function. Consider the relation = x•f where z is implicitly defined in ter...

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Q: Determine the area bounded by the curve y-9x/5 and the line y=x-2 A. 3.43 sg. units B. 6.86 sg. unit...

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Q: Given three points A(4, 3, 2), B(-2, 0, 5), and C(7, -2, 1). a. Specify the vector A extending from ...

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Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Show that, z''+4z'+8z=0 if z=e-2xsin2x+cos2x Formulas used: ddxsinx=cosxddxcosx=-sinxddxenx=nenxProd...

Q: Find the average value of f(x) = over the interval [2, 5]. (3x2 + 2)? Enter the exact answer. fave =...

A: f(x)=x(3x2+2)2Interval: [2, 5]favg =1b-a ∫ab f(x) dxfavg =1(5-2) ∫25x(3x2+2)2dx3x2+2=t6x dx=dtx dx =...

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 20j as ...

A: By using vectors we have to find the lengths of the diagonals of the parallelogram that has i+j and ...

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C'(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of...

A: AB→=(5, -5, 2)-(3, -3, 5)AB→=(2, -2, -3)AC→=(-1, -4, 2)-(3, -3, 5)AC→=(-4, -1, -3)AD→=(4, 1, -8)-(3,...

Q: Evaluate dz. 23 x2+1

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Q: (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) (-10, o0)...

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Q: Find the fifth partial sum, S5 = C-1 4()"* n-1 Write as a fraction reduced to lowest n=1 terms in th...

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Q: x°-27 x²+3x+9 x²+9x+18 a. Divide: 9-x2 b. Solve: 3x+2-2/x=0 C. Solve: 3x - 24 x=0

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = y² – x² su...

A: f(x,y)=y2-x2g(x,y)=14x2+y2-1=0∇f=-2x, 2y∇g=x2, 2ySet up:∇f=λ∇g and g(x,y)=02y(λ-1)=0-2x-λx2=0x24+y2=...

Q: Q2: Evaluate each of the following limits: 1-cos 3X 2)limx-0 9X2 x$sin 3) lim00 x*+1

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Q: the sum. Use a model 1 1 3 3 1/3

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Q: 20. x4 - 2х2 + 4х +1 х3 — х2 — х + 1

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Q: Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Wher...

A: This is a problem related to numerical method. Here two ways are given to solve differential equatio...

Q: -3m c2n n S " S" (sin x + cos y)e? dx dy dz A. 2n(e2" + e3") B. 2n(e2". c. 2n(e3 + e2") D. 2n(e – e2...

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Q: Find F' (x) if F(x) = L Vt² + 1dt.

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Q: (ii) Solve x(2z – 3y)p + y(3x + z)q + yz + 2xz = 0

A: We simplify the given expression using  distributive property which is a(b+c) =ab+ac.

Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

A: Finding the Area by taking the vectors

Q: solution. Box your final answer. 1. Find the height of a right circular cylinder of maximum volume t...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

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Q: Let f(x, y) : V 125 – 3x? – 2y² - Evaluate f(1, 2)

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Q: ; Use Gausss D.T. to evalu arte where F=4 xi -zy'i+zk auds is the sarfece bounding the regioh x?+y=4...

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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

Q: 3. Solve for fe)(r) given that f(r)% = sinh(3r)

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Q: Q1:a) Find the domain and range of the functions:- 1) f(x) = %3D x+3 2) f(x) = V4- Vx 3) f(x)=5cos3x...

A: Topic:- function

Q: Eetee 10 Describe the relationship between the graphs. Step - The graphs of fand are reflections of ...

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Q: 1.Sketch the graph of the following conic: 4x^2-8y^2+24x+4=0 Then determine the focal point and its ...

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Q: Find  v  if  r = 3  inches and the point rotates at  15  rpm.

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Q: ds V9-s 9-52 + C 95 9s + C A. C. B. D. + C 95 69/

A: Given: I=∫dss29-s2   ...1   We know that, the trigonometric identities. 1). 1sinx=cscx 2). sin2x+cos...

Q: Aline is drawn from point ( 4, 4) to the point (-3,-3), what acute angle does it make with the-ive Y...

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Q: Let a = ci + j and b = 4i + 3j. Find c so that the angle between a and b is -. Round your answers to...

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Q: Let an​ be an arithmetic progression, for which a2​=5 and a1​=−11. Find the difference of the progre...

A: The objective is to find  the difference of the progression.

Q: 19. 10 (x + 1)(x² + 9)² at

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