1/5 Find the minimum and maximum values of the function y = (t – 312)" on the interval [-1,2] by comparing values at the critical points and endpoints. (Use decimal notation. Give your answers to three decimal places.) minimum: maximum:

Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

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Q: -31+2ア-K and ミー-^ -4 +3k in component form. 9ミ-2? +-yk delermine -マ-5+42

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Q: dy Differentiate parametrically to find dx in terms of t: x = 4t?,y= 2t3

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Q: The integral of the given function ſ 3(x-1) dx is equal to (3x+1)ž

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Q: A graph of y = f (x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: Graph of the function is given, we have to find its derivative graph

Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

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Q: Which Riemann sum represents the illustration shown?

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Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

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Q: -1 Differentiate y = sin (sec(4x?)). %3D 82 tan(4a?) sec(422) A. y' 1-sec2 4r2 8æ tan(42²) sec(4x²)…

A: We will find the derivative of the given function in the following step.

Q: -2 is a critical number of the function - Vir - f(x) = 2x x2. Select one: True False

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Q: What is the absolute maximum value of the function f(x) = x - 3x2 on the interval [-2, 4] ? а. 16 O…

A: This question is based on application of derivative.

Q: x = -3 is a critical number of the function f(x) = (x – 3)(x + 3)². Select one: O True O False

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Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y"…

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Q: P= 8,6)

A: Given vector v=5i+3j+4k  The point p is (6,8,6) and we called P is Position vector.

Q: Prove or disprove the following statement by induction 1-3-5. ... ·(2n-1) a.) 2n whenever n is a…

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Q: Express the circle specified by x = 2 cos(0) y = 1 +2 sin(0) in Cartesian coordinates and find the…

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Q: A garden lot is bounded by the curves y = x and y = 9. If its area is in square meters and it will…

A: We will find the area and cost.

Q: Find all critical points of the function f(t) = t – 4/t + 1. (Use symbolic notation and fractions…

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Q: Question 22 Evaluate the integral, using substitution if necessary. tan(22 )dar, + C

A: To evaluate: I=∫tan(2x) dx Substitute 2x=t⇒2dx=dt⇒dx=12dt: I=∫tan tdt2=12∫sin tcos tdt

Q: All exponential functions can be written in many forms. Write the function f(t) = 620e0.35t in the…

A: We have to transform the given function in given form function.

Q: Express the following sums using sigma notation. a. 7 + 8 + 9 + 10 + 11 b. 8 + 16 + 24 + 32 + 40 +…

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Q: 4x + 6 2x2 + 5х + 3 X-1 2х + 4 6. %3D X+ 2

A: According to guidelines, we can answer only one of the multiple questions given. Submit the…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Express the following sum using sigma notation. a. 7+8+9+ 10 + 11 5 a. 7 + 8 +9+ 10 + 11 = E| k=1

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Q: Question i a) [? *:): Determine whether the series 1 Σ n=1 (2n-1)4 is convergent or divergent. b) .…

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Q: Question 16 Evaluate the definite integral - 6 2x2 + 5 d.x 3 194/6 86V3 5 > Next Question

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Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

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Q: drop of oil in the shape of a circle is increasing its area at a rate 4 cm2/min. Find the rate of…

A: Given query is to find the rate of change of radius.

Q: 5-6 Sketch the region whose area is given by the integral and eval- uate the integral. 5. ". 2 (7…

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Q: Prove that f(a) = (z - 1)² + (x + 1) is an even function.

A: The given function,   f(x)=x-12+x+12

Q: dx The integral of the given function S is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

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Q: The series 2 + Vn2 1+ Vna n=1 is convergent if and only if: Select one: O a. a > Ob. a Od. a < O e.…

A: As per guidelines we have to solve one question Please repost other questions again

Q: 6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given…

A: Given problem:- If z2 = x2 y2 (where x, y, and z are positive), and dz/dt then what is when x = 2…

Q: Compute the following limits: cos (x) (i) lim x3 tan(3x) (ii) lim

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Q: S(x² – 1) Vx + 4 dx 4.

A: 4.∫x2-1x+4dx

Q: graph below, whet is a pont ad which it would O Giue the function in the reas ona ble estimete…

A: The inverse function is reflation to original function at y=x

Q: 2(- 1)"- n²+ 4 n – 1 n=1 n²+3

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Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: A quadratic polynomial y = 4x +7x-3 has roots pand q. Find a quadratic g(x) +ar+B with roots r= and…

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Q: dy Solve of x°y4 – 6e(2-y) = 3. 12e(2z-v) –3r2yA 4 A. y' %3D 6e(2z-y) +4x³y³ B. y' 2e(2z-y) – 3z²y4…

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Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: The market research department of a company recommended to management that the company manufacture…

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Q: Evaluate the following limits: (1) lim (V +1- V). x→+∞ |2² – 1| (z^ – 1+8^) (ii) lim x-1 x – 1 x<1

A: Limits

Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: e 3x (d) lim X→0 5x+200

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Q: You wish to determine how much should be deposited in an account paying 7.4% interest compounded…

A: This question can be solved using the concept of compound interest when interest is compounded…

Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: Evaluate the integral of tan 2x dx tan 2x- tan 2x +x +c tan 2x - tan 2x + x + c C. tan 2x --tan 2x…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…