Calculus question and answers for July 02, 2023
- Q Which of the following IS NOT a form of the Pythagorean Identity? A. sinx + cosx = 1 B. 1 + cotx = CsCx...
- Q Find two unit vectors orthogonal to both (9, 8, 1) and (-1, 1, 0).(smaller i-value)____(larger i-value) ___
- Q Find the cross product a b.a = (2, 5, 0), b = (1, 0, 7)_____Verify that it is orthogonal to both a and b.(a x b) a =___(a x b)...
- Q Find a horizontal asymptote of f(x)=3x - 4x + 1 /x+x-2
- Q Round the number to 3 significant figures.0.259 | 0100Step 2: Now we need to decide if we round up or down.What is the answer rounded to three significant figures?
- Q Which sentencebelow uses anincorrecthomophone?A. Our assignment isto write a personalessay on the mostmemorable event ofthis past year.B. I can't seem toremember anythingunless I right it downon paper.C. It was hard...
- Q Which sentence uses theunderlined word incorrectly?A. I only get minimal exercise in a day, eventhough I should get more.B. After a long time of questionablechoices, I finally started to make...
- Q Problem 2. Draw the geometric vectors v ()addition of geometric vectors in the plane. (2 marks in K/U, 1 mark in COM)and w=(9) on a plane. Add v and w...
- Q Which sentencecontainstransitionalwords orphrases?A. As you can see, I ama better writer than aspeaker.B. I am a better writerthan a speaker.C. I am a goodspeaker. I am a betterwriter.D. I am...
- Q If y = cos x, how many periodswill there be between-5T and 9??[?]
- Q Round the number to 3significant figures.1.45 93Step 2: Now we need to decide if weround up or down.What is the answer rounded to threesignificant figures?Enter
- Q Factor the polynomial completely. Enter the factored form without any spaces. Write any monomial factors first.4a - 36a
- Q 8cis(77).Evaluate the cube root of z when z = 8cis(-
- Q A boat sails 285 miles south ancthen 132 miles west.What is the magnitude of theboat's resultant vector?Hint: Draw a vector diagram.[?] miles
- Q If y = -cos x, what x-valuecorresponds to a y-value of 1between 0 and 2??
- Q Select all factors of the polynomial.2y - 18yMultiple answers: Multiple answerSelect one or more answers and submit. FTo(y - 3)b (y-9)C (y + 3)d 2ydi2y
- Q A vector has a magnitude of 30 and a direction of 40. Another vector has a magnitude of 70 and a direction of 130. What are the magnitude and directionof...
- Q Given u = -3i + 5j and v= -24i + 40j, are u and v parallel or orthogonal? Explain.O The vectors are orthogonal because cos 0 = 1.O The vectors...
- Q 66. A woman starts walking from home and walks 6 miles at 40 north of east, then 2 miles at 15 east ofsouth, then 5 miles at 30 south of...
- Q 4. (28 points) Given the vector field F(x,y) = (ye* cos ex, sin e*), the clockwise oriented part of thex = tparabola C?: y = -t + 5t-6, the line...
- Q Which of the following represents vector u = -3i+ 8j in component form?Ou=(3,-8)Ou= (-3,8)Ou=(8,-3)Ou= (-8,3)
- Q If y= +2, what is the value of y when x = 3i?21/5 + 128%25250-25 + 2i2/5 + 1/8O-1-18i25O- +18 i25
- Q Round to 2 significant figures.5,239Step 2: Now we need to roundup or down.What is the answer rounded totwo significant figures?
- Q Let f(x) = sin(x) and g(x) = sin(x). Which of the following statements are correct? Selectall that apply.g(f(2x)) = 2nofg(f(x)) is defined for all real numbers xf(g(0)) = 0f(g(x)) is...
- Q Find an equation of the line that contains the given pair of points.(24, 26), (7, 9)D
- Q You need to arrange four of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes...
- Q In how many ways can the expression a4 b5c be rewritten as a product without exponents?The number of ways a4 b5c3 can be written without exponents isA
- Q A roller coaster travels 350 feethorizontally and then travels 130 feetat an angle of 60 from the ground.What is the direction of the resultantvector?[?]
- Q A mouse is trapped in a maze. Tofind his way out, he walks 15 m east,makes a 90 left turn, walks 8 m,makes another 90 left turn, andwalks 10 m....
- Q Let y=2(x-5)2-6.Part A: Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that the relation...
- Q Period =Phase Shift =Terminal pointGraph lies above ySketch the graph of the basic cycle ofy = 3 csc (2x + ?/8)Asym: are x =Select the basic graphA=below y ==Xy
- Q A club with eleven members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more...
- Q A car travels 10 km southeast andthen 15 km in a direction 60 north ofeast. Find the magnitude of the car'sresultant vector.[?] km
- Q If the odds in favor of E occurring are 27, then find P(E) and P(E').P(E)= (Type an integer or a simplified fraction.)P(E)= (Type an integer or a simplified fraction.)
- Q A pedestrian walks at a rate of 6 kmper hour east. The wind pushes himnorthwest at a rate of 13 km perhour. Find the direction of theresultant vector.[?]
- Q Find all points with coordinates of the form (a, a) that are a distance 7 from P(-3, 4).(x, y) = (-3,-3)(smaller x-value)(x, y) = (4,4)XX) (larger x-value)
- Q Find the field in which the parametric equations are used.O Linear MotionO Projectile MotionO Curve SketchingO All of the choices
- Q Identify the correct option regarding the compositions of two functions f(x)and g(x).(fog)(x) = g(f(x))(fog)(x) = f(g(x))(fog)(x) = f(x)g(x)(fog)(x) = (f/g)(x-)
- Q Which of the following represent vector quantities?1. DisplacementII. AreaIII. Volume
- Q Represent the complex number 1 + ?3 in polar form.O2(cos 30 + isin 30)O2(cos 60 + isin 60)O2(cos 120 + isin 120)2(cos 90 + isin 90)
- Q Find an equation of the tangent plane at the given point:1F(r, s) = 2752,(1, 1)30.52 =Note: Your answer should be a function of r and s.
- Q Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.)a = 3i - 8j + k, b = 9i - k
- Q Find a formula for a function f that satisfies the following conditions.lim f(x) = 0,lim f(x) = -00,f(7) = 0,X418X-0lim f(x) = 00,X-8lim f(x) = -00,X-8+
- Q Solve cos(x) = 0.42 on 0 < x < 2?There are two solutions, A and B, with A BA =B =Give your answers accurate to 3 decimal places
- Q Find the lengths of the sides of the triangle PQR.|PQ| =|QR| =|RP|11P(4, -2, -1), Q(8, 0, 3), R(10, -4, -1)Is it a right triangle?YesNoIs it an isosceles triangle?YesNo
- Q Find the value of -3(- i | + 2 j - 4 k ).7 +23-4k)!3 i-6j+ 12 k0-371-67-127? 37+-65-12 kQ-3 ik-6 + 12 k
- Q At what point on the curve y = x4 does the normal have a slope of 16?
- Q The symbol "||" is used to denote theO MagnitudeO squareO square rootO subtractionof a vector
- Q Let u = [2, 2, 1] and ? = [-4, 3, -8].Find the scalar projection of u on4089710V893089 1025 17(0,25)89 89 89-10? 898089on :
- Q 23. Given = [1, 7, 9] and,a) Find the angle between= [-2, 5, -3] and w = [4, -6, 8].and w. 13 Marks]b) Are the vectors and and w coplanar?...
- Q Find an equation of the sphere with center (3, -11, 6) and radius 10.Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does...
- Q Find the distance from (4, -9, 7) to, each of the following.(a) the xy-plane(b) the yz-plane(c) the xz-plane.(d) the x-axis(e) the y-axis(f) the z-axis
- Q Which of the following matrices A can be multiplied with the vector B <2, 1,3> to give the product AB?A23 matrixA3 x 2 matrixA2 x 2 matrixA 2x1 matrix
- Q 23. Given = [1, 7, 9] and,a) Find the angle between and w. 13 Marks]-[-2, 5, -3] and w=[4, -6, 8].b) Are the vectors i and i and w coplanar?...
- Q Vector component of Vand W are asfollows. Find the direction of theresultant vector.V= (13.5, -21.07)W = (-0.9, -14.6)W=[?]Round to the nearest hundredth.
- Q A bicyclist rides 11.2 kilometerseast and then 5.3 kilometers south.What is the magnitude of thebicyclist's resultant vector?Hint: Draw a vector diagram.[?] kilometersRound your answer to the nearest tenth.
- Q A car travels 87 miles north andthen 114 miles west.What is the angle of the car'sresultant vector?Hint: Draw a vector diagram.[?]
- Q Find an equation of the tangenty = 2x - 10x + 1,line to the curve at the given point.(6,13)
- Q Find the six trigonometric functions of the angle. (If an answer is undefined, enter UNDEFINED.)1176sin(-11) -cos(-11) -6tan(-11) -csc(-11) -sec(-11) -cot(-11) -H
- Q A person swims 6.4 meters persecond north while beingpushed by a current movingwest at 2.1 meters per second.What is the magnitude of theswimmer's resultant vector?Hint: Draw a vector diagram.[?] m/sRound...
- Q Simplify cos(tan-()).|x|OA.?x +1?x-1OB.OC. ??1-x1VI--xOD.X??x-1OE ??x.
- Q Find the horizontal and verticalcomponents of this vector.([?],[])|f|=17
- Q A vector has a magnitude of8 in the 95 direction. What arethe horizontal and verticalcomponents?([? ], [ ])Round to the nearest tenth.
- Q Problem 14.(-1, -1/3) be the point on the unit circle thatcorresponds to t. Find the values of cost and tan t, and then evaluate 2 cost + tant.b) Find the...
- Q Use the following graph of a function f to determine y to the nearest integer for y = f(-2).Af(x)
- Q Let F= cos(5t)i + tj + 5t'k and G = t cos(5t) i + t'j+5ekFind the cross productFXG=
- Q Describe the toolkit function and it's transformation. The function is f(x) = log(-x-2)-5Multiple answers: Multiple answers are accepted for this questionSelect one or more answers and submit. For keyboard navigation......
- Q Solve for x. Write your answers, separated by a comma.(a) x - 11 = 13x = -2,24(b) 11- x - 2| = - 8x= -17,21(c) | 3 - 2 =6x...
- Q Finance. A person wishes to have $27,500 cash for a new car 3 years from now. How much should be placed in an account now, if the account pays 5.3%...
- Q Sketch the trace (in the plane z = 2) of the function f(x, y) = 1/2.
- Q (a) Find expressions for each side of the right triangle that uses x, 8, or both given that 0 = tan-().A =B =C =6CAB
- Q Let be an angle in standard position where 0 ? 0 ? 2? with:cos(0) = -and cot(0) < 0Answer the following questions. Express your answer using exact values.(a) In what...
- Q A surveyor measures the sides of a triangular lot to be a = 145 feet, b = 70 feet, and c= 91 feet.a. Draw a diagram accurately labeling the information.b....
- Q Solve the initial value problein x Axt) foct 0, with x(0) 2.1) Classify the nature of the origin as an attractor, repeller, or saddie point of the dynamical system described...
- Q 3) Given the following information for an ellipse; foci at (1, 2), and (-3, 2); vertex at (-4,2)5 ptsState: a) the center point and the values for a, b, c,...
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