06 00 11. Using cofactor method, prove that det M = abcd 0. 0 0 0 0 0 d 3

Q: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: Direction: Differentiate each function with respect to x. 4) f(x)= 4x-5x-3 5) y= 3x 6)

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Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

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Q: ind the indefinite integral and check the result by differentiation. ep 1 Expand the integrand (5t-…

A: Given query is to find the value of the integral.

Q: Sketch the region enclosed by y = e*", y = e", and x = 1. Find the area of the region.

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Q: 12 4 -3 -2 -1 -- -5 4 5 -2 -6 The function graphed above is: Increasing on the interval(s)…

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Q: A company that produces cell phones has a cost function of C = 4x2 – 56x + 8972, where C is the cost…

A: Given query is to find the number of unit to minimize the cost.

Q: (2x + 3)dx x² + 4x + 29

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Q: Evaluate the definite integral. 1 |(7x2 - 4x +6) dx

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Q: dx .4

A: we have to find out the integral

Q: Evaluate the integral 5х — 2 dx (x + 3)2

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Q: Find the 44th derivative of the function f(x) cos(2). = The answer is function f 144) (æ) = cos (x)…

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Q: 2x + 1 (a) lim 9x2+ x

A: We have to solve the limit

Q: x³ + x² + 2x+1 dx (x² + 1)(x² + 2)

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Q: sin x dx (2 + 3 cos x)2

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Q: Solve using trigo substitution

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Q: (c) Let f(x) =; for x * -K (x + K)" (i) Find f-(x). (ii) Use the result in (i) to find the function…

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Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

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Q: Complete the table for the time t (in years) necessary for P dollars to triple if interest is…

A: Note that the formula for FV for compounded continouously is: A=Pert Here, given that A=3P then:…

Q: Find the indefinite integral and check the result by differentiation. COS X dx 1- cos?x

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Q: 2. Find and classify all the critical points of f (x,y) = 2x – 9y – xy + x² + 5y².

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Q: The sales of a new high-tech item (in thousands) are given by S(t) = 94 - 90 e-0.2t where t…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Sx°Inxdx

A: Given query is to find the value of the integral.

Q: Find the equation to the line below. y = [?]x Enter + or - to indicate if your answer is positive or…

A: As we know that; The equation of the line when it passes through the two points x1,y1 & x2,y2.…

Q: A ball is thrown into the air and its position is given by h(t) = - t2 + 73t + 10 where h is the…

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Q: Jse one of the formulas below to find the area under one arch of the cycloid x = t – sin(t), y = 1 –…

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Q: x + 1 S dx (x² +2)( x² + 1) 2

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Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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Q: 13. A model used for the yield of an agricultural crop as a function of the nitrogen level in the…

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Q: HWit Solve the fallowihg first order OLE ス -x(4) P sin DでSma Sloメ=

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Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: Find the value(s) of k that makes the given function continuous. f(z) = { S-3z +4 if r <k -I+3 ifk…

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Q: Solve: (2x cosy + 3x y) dæ + (x – a? sin y – y) dy = 0 O 2x cos y + 2x2y-y = C O x3 cos y + x?y-y =…

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Q: Use sigma notation to write the sum. 7n 7n Σ I = 1

A: To use sigma to write the sum.7n6-7n7n+...+7nn6-7nn7n

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +7 1 (?, ?) lim t+\6t2 + 7'5t

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Q: sin' xcos³x dx 3

A: Given: I=∫sin7xcos3xdx   As we know that; The trigonometric identity; sin2x+cos2x=1 The Power rule:…

Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

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Q: Determine whether the sequence is increasing, decreasing, or not monotonic. (Assume that n begins…

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Q: -13x²+4x³+2x-7 x²+3x-2

A: see below the calculation and answers

Q: [- 4,4, – 4] and i = [-5,6, 2] find %3D a. 2u + 47 b. ū • с. п х d. lūl

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X - 2 2- a. Find lim f(x) or…

A: Given query is to find the Indicated limit.

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Homogeneous Equation ( 3x + 4y - 1) dx + (18 x + 24 y + 2) dy…

A: The given DE is: (3x+4y-7)dx+(18x+24y+2)dy=0⇒dydx=-3x+4y-718x+24y+2⇒dydx=-3x+4y-76(3x+4y)+2

Q: 5. Determine the vertical and horizontal components of each force. a. 810 N at an inclination of 75°…

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Q: (c) Let f(x) for x * -K %3D (x+ K) (i) Find f(x). (i) Use the result in (i) to find the function g…

A: To find out the f-1(x).

Q: Find the arc length of the graph of r(t) = ev2ti +ev2tj+ 2tk, 0 <t < v2 ln 4 NOTE: Enter the exact…

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Q: Evaluate the integral (Trigonometric Substitution) 1 (a²x6 – x8)Zdx

A: To find  the  value of given integral.

Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 9)2

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Q: A ball is thrown vertically upward from a point 112 ft above the ground with an initial velocity of…

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Q: 5. Determine the values of x for which the function is continuous. 3r +1 e. f(x)= /x – 3 2- 8 4x d.…

A: The function √(x-a) is continuous iff x&gt;=a The function 1/(x-a) is continuous iff x≠a

Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative