Exercise To Try 7 Let f(x) = V. Estimate the area A under the graph y = Va between a = 1 and b= 4 using midpoints and three rectangles. (4,2) Answer: 4.68

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, z) %3D хуz, Р(3,…

A: Given

Q: The function 7) = x-21 at x-2 has X-2 a a removable discontinuity b. ajump discontinuity an infinite…

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Q: A2. If y = In10 10* then y'= %3D (a) x. 10*-1 (b) x10. In10 (c) 1 L 10* Ina

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Q: Exercise To Try 13 Verify that the function f() = 2a2 – 3x + 1 satisfies the hypotheses of the Mean…

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Q: Find dx (1 – x²)³/2 + c Vx2 – 1 V1 – x2 Option 3 Option 2 Vx2 – 1 + c V1- x² - Option 4 Option 1

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 1.…

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Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: To use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values of f subject to the…

Q: C) Prove that a Cauchy sequence of real numbers is bounded.

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Q: Show that for x 2 1, cosh (cosh° 3x – sinh° 3x) = In(x+Vx² -1). (b)

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Q: We have 3 3 27 dx dy = 4 y (x – 1)2 - Select one: True O False

A: Given query is to find statement is true or false.

Q: 7x+2x? (x-4)(2x+3)(2x+1)

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Q: Find * 4xe²? dx. e2z² + 2ez² +2 -2tan-1(e*² + 1) + c 2tan-1(e* + 1) + c O Option 2 Option 1…

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Q: 3. y = Arccos ( logx);y' = * O -1/x In(10)*sqrt ( 1 - (logx)^2) O 1/ x In(10)*sqrt (1 - (logx)^2) O…

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Q: Let D be the tetrahedron in the first octant bounded by the coordinate planes and the plane 6x + 3y…

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Q: 3 Assume that sin (x) = and sin (y) = -, where < y < 2x. Calculate the indicated function value. <x…

A: We can find sin(x-y) as below.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find the third order derivative of y = In(cos(2x))". A. y' = -40sec²(2x)tan(2x) B. y' = -80sec…

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Q: Draw a function F(x), defined for all real numbers x, that satisfies the following properties.…

A: The first derivative is everywhere positive and the second derivative is everywhere negative

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) %3D Vf(4, 2) =

A: If f is a function of x and y then gradient of f is given by ∇f=∂f∂xi^+∂f∂yj^So, ∇fa,b is given by…

Q: (29.4) Determine whether the series (-1)"-1. n2 + 1 is absolutely convergent, condi- n=1 tionally…

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Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

Q: lim 1 1-x = 2 Select one True False

A: We can check it true or false as below.

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 6, –9) and the vector component of v…

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Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim xn = inf {xn…

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Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

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Q: Kindly write the step by step solution. Two particles, A and Bare in motion in the xy-plane.…

A: Two particles,A and Bare in motion in the xy-plane.Their coordinates at each instant of time t…

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

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Q: Evaluate the given: So sin" () cosº () dz cos 10

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Q: Determine the critical point and find for the maximum and minimum values at closed interval for the…

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Q: Find* esin ¤ dx tan x csc x cos x e $in xt. - cos x e Sin x + c Option 4 Option 2 esinx + c ,sin.…

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Q: 1 (5* )csch dy if Find dx 1. (а) y x>0. (ecosh 5x ) In Vx +1 d Show that for x 2 1, coshx- dx (cosh²…

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Q: 5. The subsequence of (xn) = () is.. a) (1층..) 0) (1.층,급.) b) (1,1,1, ..) a) (1.-) 6. The sequence…

A: Every subsequence has a pattern.  According to guidelince we solve only first question.

Q: Consider the three points R coordinates [0,1,0. [-1,0,-2). and [-2,2, –3] . Which equation of the…

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Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: Let f(x)=4x^2−4x^4. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: 11 f(x,y) 3x-7y+2, R is the rectangle with opposite car- ners (-1,0) and (1,3).

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x 1/2 Ox1/2 Ox1/2…

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Q: Draw a function f(x), defined for all real numbers x, with one local maximum and two local minimum.

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Q: A. Integration By Parts 1. ſx5Vx3 + 1 dx 2. S/* x sin 2x dx 3. S- x³ex? -dx (x2+1)2

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Q: Find the mode.   51​, 44​, 49​, 48​, 51​, 33​

A: Given  51, 44, 49, 48,51,33

Q: X1 – 4x, + X3 = 2 4x1 + X2 =1 Xz + 4x3 =-1

A: Since the question is asked to solve by two different method solution by one of the method is given…

Q: The graph of the derivative F'(x) of a function is given below. Justify your answers to the…

A: a. Find all the critical numbers(x-coordinates) of F(x) Answer:- at the critical numbers f'(x) = 0…

Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: 10. * -1 x CSc

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Q: 7. Approximate (22 + 3) dz using four rectangles and the left endpoint method.

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Q: 1. Given: - Ar with f'(x): (x+ 2)2 r(x + 8)(x – 2) (r +2)3 8(7x-4) (r +2)4 S(x) = and f"(x) = a.…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…