13 Given Sine= - 12/23 and Cos0>0. Find the remaining trig. values of 0. From Sec 5.3

Q: 1. Condense 3 log, x + -log(x-1) - 4 log(x + 2) into one logarithmic expression. 2. Solve 7³t = 100.…

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Q: Find the interval of convergence of the series. (5x) n².4" n=1

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Q: Which of the following planes is normal to the line given as: x = 2t + 3, y = 5t - 7, z = t - 4 O a.…

A: This question is based on dot product.

Q: 2 0 The Integral ²₁ g(x, y) dydx can be 1-x written as: Select one: 2 O S-²₁ ₁²₁, g(x, y) dxdy 1-y 0…

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Q: Q4 (a) Calculate the surface integral: [] (² + (y² + 2yz) dS where o is the first octant of the…

A: To evaluate the surface integral Given plane 2x+y+2z=6

Q: For the differential equation y(n) + p₁(t)y(n-¹)+...+Pn(t)y = 0 with solutions y₁, ·, yn Abel's…

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Q: Consider the following. y 4 3 Find its foci. 2 1 -1 -2 Find an equation of the ellipse. smaller…

A: we need to find the equation for ellipse

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: What is the area of a single right trapezoid? Note: in the formulas below, • L₁ and L₂ represent the…

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Q: Perform Basic Vector Operations Given d = (-5, - 10) and b = ( − 3, 3), find ||ď – 6|| and ||ď || –…

A: This is a problem related to vector operation. Please follow the procedure given below.

Q: Use a graph to find approximate x-coordinates of the points of intersection of the given curves.…

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Q: The function below has at least one rational zero. Use this fact to find all zeros of the function.…

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Q: and the partial fraction decomposition. -2x-9 2 x -3x -2x - 9 2 X - 3x - SERT 0

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Q: y = x y 2 1 2 X

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Q: 8 26 Type your answer without fractional or negative exponents. Use sqrt(x) for √√T. Find the…

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Q: II. L' Hôpital's Rule. Evaluate the following limits using L' Hôpital's Rule. 3-x 1. lim 1-3 2-8

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Estimate the slope of the graph at the points (x₁, y₁) and (x2, Y₂). At (x₁, y₁), slope At (x, y₂),…

A: We know:- sllope of a line passing through two points =y2-y1x2-x1

Q: Determine the general solution of the given differential equation. y"" - y = 11 sint NOTE: Use C₁,…

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Q: The function h(t) = ... gives the height from the ground of a ball thrown upwards. The time t is in…

A: We have to find the height when the ball is thrown, initial velocity, the average rate of change at…

Q: (5) Use the first derivative test to classify the critical numbers of the function s(r) = 2¹-4r³+17.…

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Q: explian how to get the domain, vertical asymptote, and end behavior of  h(x)=-log(3x-4)+6

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Q: Find an equation for the graph above.

A: NOTE: Refresh your page if you can't see any equations. .

Q: If w=f(p, q, r), where p-z2-y², q=y²-22, and r = 22-2², show that 1 Ow x 8x + 1 8w у ду + 18w z Əz…

A: Given w=f(p,q,r)and p=x2-y2,   q=y2-z2 and r=z2-x2

Q: Find the centroid of the region bounded 1 y = 6 sin(x), y ==x, and x = The centroid is at (x, y)…

A: The solution is given below

Q: EX: Show that d² = 2πi where c is a unit § Z circle. C:1Z1 =1 Sol: ie Z= re io dzir e do 24 io ixe…

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Q: Evaluate the following Rational Fractions -(3 cos² 0 + 8 cose-12) sin 0 de cos³ 0+7cos² 0+ 12 cos 0…

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Q: The following chart shows student population in a certain elementary school over a 5 year period.…

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Q: A tank contains 40 gal brine for which the concentration is initially 3 lb/gal of salt. A brine…

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Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

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Q: Exercise (c) Use the results of part (b) to estimate the slope of the tangent line to the graph of…

A: Given.

Q: Find an equation of the line that passes through the points. (-2, 8), (1,5) Sketch the line. O No…

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Q: xy³ lim (x,y) (0,0) x²+2y6, O a. Does Not Exist O b. Infinity О с. 0 O d. 1/3 =?

A: limx, y→0, 0xy3x2+2y6

Q: Find a bound on the magnitude of the error if we approximate √2 using the Taylor approximation of…

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Q: Let f(x) be defined by f(x) = 3x² + 5x – 40. Let (a, b) be the point on the curve y = f(x) such that…

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Q: LILL Hours spent studying 2 Graph B 4 6 8 Hours spent in class d. What is the equation for Graph B?…

A: Here s denotes study hours and c denotes hours spent in class.

Q: etermine the Laplace Transfor f(t) = 3te-5t cos(2t) stands ca

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Q: Exercise (b) Find the slope of each secant line. Step 1 Recall that the slope of a non-vertical line…

A: Since the secant line is passing through another point Q(3,3) Therefore we will substitute x = 3 in…

Q: Express the number as a ratio of integers. 1.325 1.325325325.... -

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Q: 5. The sum of thrice a number and two equals 6 less than four times the number. Find the number.

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Q: Find the following limits (if they don't exist write DNE, ∞ or -∞ as appropriate): Answer: lim x-3 2…

A: We have given to find limit  Let ,  y=limx→3x2-2x-3x-3 y= limx→3x2-3x+x-3x-3 y= limx→3xx-3+1x-3x-3…

Q: calculate the following two indefinite integrals. (3x^(2)+3x)/(2x^(3)+3x^(2)-5) dx and

A: We will find the integral

Q: Suppose that the position (a) Find the velocity at tin v(t) = 17 S (b) Find the velocity at tin

A: topic:- application  of derivatives

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

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Q: Suppose 150 trout are seeded into a lake. Absent constraint, their population will grow by 35% a…

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Q: Find the volume of the solid when the region enclosed by the curves y=x², x=1, x=2, y=0 is revolved…

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Q: Find all values of c such that fis continuous on (-∞,). C= 7-2², a se - ذکر (smaller value) (larger…

A: Given query is to find the value of c so the function is continuous for the provided interval.

Q: 1 3. How many terms of the convergent p-series k=1² must be summed to obtain an approximation that…

A: We have to find no. of terms of the convergent p series.

Q: Use the equation Σ x" for [x] < n=0 (Express numbers in exact form. Use symbol 6 1 - x4 Σ 1 1-x Σ…

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Q: Sketch the graph of the equation by point plotting. ( y = x + 2 10 0

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Q: Evaluate the iterated integral. 2 √4-3²3-8²-12² SS S x dz dy dx 0 -S+x² + y²

A: Given, ∫02∫04-x2∫-5+x2+y23-x2-y2xdzdydx