Suppose (2, -3, 4) x (1, 7, a)= (-16, 12, 17). Determine the value of a

Q: d²u dv² 4(1+ 3v)? u = -1 du/dv = -2 when v = -1 %3D

A: solution:-d2udv2=4(1+3v)2 integrate both sides with respect to u∫ddvdudvdv=∫4(1+3v)2 dvdudv=4∫1+6v+9...

Q: A4 The graphs of x = 6, y = h(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to ...

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Q: a in togials Evaluate the tollowing ズ du

A: The given integral,                ∫0π41-uudu

Q: 20 Figure 1: Graph of y = f'(x) for Question 5 The graph of the derivative of a function y = f'(x) i...

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Q: evaluate fsin.x dx inx dx JT+sin x A secx- tanx - x +C B secx + tanx +x+C C) secx + tanx - x + C

A: Here we have to evaluate, I=∫sinx1+sinxdx

Q: Find an equation of the line that is tangent to f(x) = x and parallel to the line y = 3x + 1 (Hint: ...

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Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given...

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Q: B. Write T if the statement is true, or F if it is false. Write your answers on the blanks. 1. The e...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: k(x) = 1- |r – 3|

A: For (b), Given: The domain of a function is the set of input or argument values for which the funct...

Q: #3 a-c

A: We will solve all the parts. 

Q: PART II. Solve the following, Show the necessary solution= 4. Find the fourth term in a proportion i...

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Q: Find all of the critical numbers of the function g(0) = sin 0 in the interval (0, 37). (a) r = #/2, ...

A:  A detailed solution is given below

Q: Law of Cooling (disregard guessing) Use differential equation and modeling to solve and find the tim...

A: This is a question of differential equation. First we will derive the Newton's law of cooling and th...

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

A: Planet is spherical;g(x,y,z) =x2+ y2+z2 = 144M(x,y,z) =12x - y2+xz + 210   We need to satisfy,∇ M =λ...

Q: A graph of y= f(1) is shown. In the same coordinate system, sketch a graph of the derivative functio...

A: The given graph is of a parabola with the vertex (0,-1). So, its equation is: y=a(x-0)2-1⇒y=ax2-1......

Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0  

Q: Consider the following function. p(z) = 2V1 –1 - 2 Step 1 of 2: Determine the more basic function th...

A: topic - functions

Q: . (Subsonic flight) The efficiency of the engines of subsonic airplanes depends on air pressure and ...

A: y'(x) ∝ ydydx = -k y(Pressure decrease with moving above sea level)∫ dyy = ∫ k dxln y = -k x + ln Cy...

Q: IV. Find the derivative of the given function. 1. u = t³(sin ln t – cos ln t) 2. y = e-2* (1 + e-2x)

A: 1) Given:          u=t3sin ln t-cos ln t   derivating on both sides     dudt=ddtt3sin ln t-cos ln t ...

Q: Evaluate the (3+ х)у dy yx² a) Зху + + c b) y (3x +) + c с) Зху? + + с ху? 2 d) x (3y +)c y² 2

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Q: We say that the vector field F is conservative if and only if V × F = 0.

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Q: b) Use the Comparison Theorem with f(x) = - to show whether , g(x)dx is convergent or divergent.

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Q: The sin*3udu is equal to 3 А. — и + 1 - sinбu 12 1 -sinбu + 12 1 -sinбu + 12 1 -sin12u + C 96 1 sin1...

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Q: PERFORMANCE TASK Create a general rule in finding the limits of transcendental functions by stating ...

A: Limit of transcendental functions.

Q: tan (x – 2) sin(r – 2)4 Evaluate: lim -

A: we want to find the value of limit   limx→2tan2(x-2)sin(x-2)4

Q: The first term in an arithmetic sequence is -27 and the common difference is 3.6, find the 13th and ...

A: (By our  policy we are allowed to do one question at a time . Kindly repost other problems in other ...

Q: a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magni...

A: To state whether the given statement is true or false.

Q: 3. The graph below depicts f(x) = tan-'(x) between r = 0 and r = 1. arctan(x) Calculate the volume o...

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Q: Convert 7" = 1714 to logarithmic form and use the change of base formula to solve for n. Round answe...

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation belo...

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

A: Given: Mx,y,z=The strength of the magnetic fieldMx,y,z=12x-y2+xz+210                                ...

Q: e 6 7. 9- 4. $4 23 ap (()4 - (E )b )EL7 Jo 2ra(8- h(x)) dx ap ((2)6) – 8) T0 p (,(-)e) – 8) = 0 revo...

A: Let's find. 

Q: Use the Squeeze Theorem to evaluate lim sin(tan x) sech(secx).

A: It is required to calculate the limit limx→π2-sintanxsechsecx. The squeeze theorem states that "Let ...

Q: 6. Graph the following piece-wise defined functions and state their domain and range: { -2.r for r <...

A: We have to draw the graph

Q: If the price of the product is increased from 3.50 to 4.20 (a 20% increase): (i) Will the revenue fr...

A: Find your answer below 

Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph...

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Q: (x² + 1)y' + 2.xy + 2x = 0

A:

Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form...

A: we have to determine the point slope form 

Q: If f(x) = 6*2X, then f"(x) = %3D %3D Select one: a. 6*2% (In (2))2 O b. 36 *2% (In (2))2 O c. 6* 4x ...

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Q: ind the absolute extrema of the given function on the indicated closed and bounded set R. (Order you...

A: Extrema

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: E Homework: Homework 1 Question 7 Find the domain of the function. 10 g(x) = 5 - 6x C .. Select the ...

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Q: dx 4. S x2Vx2-9

A: The given integral is  ∫dxx2x2-9

Q: Determine the length of the curve y = In(cos r) betweenI = 0 and r = 1/4. (Hint: if you simplify the...

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Q: The greatest integer function is not a step function.

A: Identify true or false  Statement:The greatest integer function is not a step function

Q: consider che funceion h= w²-8.Tawei Determine dh/dt and w= St"-26

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Q: •1 2. In r dr

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Q: The temperature of a chemical reaction oscilates between a low of 25 C and a high ot 120 C. The temp...

A: Let's find. 

Q: Solve the systems of equation: Equation 1: x + 2y + 3zi = 20 + 5i; Equation 2: 5x - 3yi + 12z(1-2i) ...

A: Given x+2y+3zi=20+5i Equation 1 5x-3yi+12z(1-2i)=-50-180i Equation 2 x+yi+2z=20-10i Equation 3