A. arcsec(-2) B. arctan - الله ان

Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: The graph of  y =f(x) is concave up on those interval where f"(x)>0 . The graph of  y =f(x) is…

Q: I. Evaluate each of the following iterated integrals. /2 siny 1. f/dxdy inx 2. ² ye²dzdxdy

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: dz dw || Z-W z+w

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Q: Consider the following matrices: [2 3 id -1 27 - - A = B = 3 0 C = 1 0 b 4 1 Perform the following…

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Q: Consider the circular helix with equation R(t) = (12t, 5 cost, -5 sint). (a) Find the value of t…

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Q: Consider the following double integral - f By reversing the order of integration of I, we obtain:…

A: We have to reverse the order of given integral

Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

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Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

A: Given: curves y=x^2+10x , y=2x+9 We have to find the area between the curves

Q: 3) Evaluate for ln(x + 1)dr

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Q: Question 1 A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in…

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: Here we have given equations of two lines as  : y=x and y=x-2.

Q: in one polar plane, plot the following points a.) (4, "/3) b.) (-3,- SE) d.) (2₁-77) 4 e.) (-1.5,…

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Q: Find the cosine of the angle between the curves (cost, -sin(t)/5, sint) and (cos(nt/3), sin(nt/3),…

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Q: In x + C Verify that every member of the family of functions y = x Answer the following questions.…

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Q: dy dt y = (t tant) ¹ Find 11

A: y= (t tant)11 y= t11 tan11tUsing formula ( d(uv) = uv'+vu' )diff w.r.t "t"dydt=t11.11tan10(t) sec2t…

Q: 7 H W N r 1 9 na O 1 2 3 4 5 According to this graph, the function is discontinuous at x = 2. True…

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Q: Evaluate 1 tan |2x| dx 100

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Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

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Q: 5. 2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the…

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Q: 1 y dy Sza 3 (a²-y²)²

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Q: The equation N (t) = 500 = models the number of people in a town who have heard a rumor 1+49e-0.7t…

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Q: what is the basic concept of a derivative? How is this derivative calculated? What techniques/rules…

A: Use the definition of derivative

Q: Assume that the given figure is the graph of f'. An + 2 4 5 6 Identify the true statements. f(1) is…

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Q: Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0…

A: Topic = Geometry

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: b.) Inside r= 3 sin and outside r= 1 + sin &

A: This is a problem related to area calculation of the polar curve. Based on the general formula and…

Q: Compute the directional derivative and gradient of at (2,-1,0) in the direction of the unit vector…

A: Dot product of A.B is ad+be+cf where A=<a,b,c> and B=<d,e,f>.

Q: Directions: Using Fundamental Theorem of Calculus (FTOC), compute the following definite integrals.

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Q: Directions: Give the answer completely. Show the graph and the plane region in the Cartesian plane.…

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Q: A force of 40lbs acts on a body at an angle of 30°. Express the force vector in component form and…

A: Vector

Q: The equation N (t) 500 models the number of people in a town who have heard a rumor 1-49e 0.7t after…

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Q: 6. a) Find the critical value(s) of f(x) = x + 2sin(x) on the interval 0≤x≤ 2π 3 b) Classify each…

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Q: Find the 2nd and 3rd derivative of the function y'= 3x^2y^2 with respect to dy/dx

A: Find the 2nd and 3rd derivative of the function y'=3x2y2with respect to x

Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: cos²x sinx dy + (y cos³x − 2)dx = 0

A: Given problem:- cos2(x) sin(x) dy+(ycos3(x) -2) dx=0

Q: Find the average rate of change of the function over the given interval. f(t) = 13+ sint a. 0, 플] п…

A: As we know that; The average rate of change between the interval t1≤t≤t2 is given by: Average rate…

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) = x² + xy + y² - 9x…

A: Given :T(x,y)=x2+xy+y2-9x+3

Q: Q4) Find the largest eigen value for the matrix A= 54 with x (0)=(7/17 1)

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Q: Analyze and sketch the graph of the function. Label the lines and points indicated on the graphs.…

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Q: f(x) = 9x - 4 ln(x), x>0.

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Q: . Find the integral [cos (3x - 2)dx

A: A detailed solution is given below.

Q: If f is continuous on [a,b], and f(x) > 0 then (A) True B) False √√° √F(x) dx = ₁ √ [F(₂ a - f(x) dx

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Q: In Problems 1-4, find the Laplace transform of the given function. Determine a condition on s that…

A: To find the laplace transform of the given function.

Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(x) = (x + 1)100 2. f(x) =…

A: 1. fx=x+11002. fx=x2+x102x+13. gx=x31-x4 Note:    Multiple parts are given, we are answer only three…

Q: FIND THE FIRST PARTIAL DERIVATIVE fx , fy and fz  OF THE FOLLOWING FUNCTIONS. SIMPLIFY YOUR ANSWERS.…

A: Topic = Derivative

Q: Find the standard form of the equation of the circle whose diameter is the line segment joining (-2,…

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Q: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: Apply the second derivative test to find all relative extrema. (b) f(x) = -x + 4x³ +8x²

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t² +4t+4. Find the…

A: Given, s(t)=5t2+4t+4We know that v=dsdt