-1 (a) cos (b) log5 (25) -√√3 2

Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: Rewrite the Cartesian equation y = r(0) = = Enter theta for 0 if needed. 2x² as a polar equation.

A: In this question, we need to convert the given cartesian equation to polar equation.

Q: Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is…

A: Topic = Derivative

Q: dy dx + y = 2xy-ex

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Q: A man 5ft tall is walking along a straight line at a rate of 3ft/s towards a lamp post that is 15ft…

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Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: Question 16 The area bounded by y=1-x²₁x+y=1 and the x-axis is submerged vertically in the water…

A: We need to choose correct option.

Q: (e) 2a7/2.a¹/2 a-1 (f) √₂√b a 5 √ab

A: As we know the Rules of Exponent or Laws of Exponents . 1). ax·ay=ax+y 2). ax÷ay=ax-y 3). axy=axy…

Q: f' (æ) =Vx+, f(0)=2 f"(x) = 3x² 16x + 16, f'(0) = 1, ƒ(0)

A: Topic:- application of integration

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: Evaluate the following definite integral using substitution rule. 1. (2x - 1)² dx 2. fx √x² + 1 dx

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Q: Find the transition points. y = 2x6 =18x4 (Use symbolic notation and fractions where needed. Give…

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Q: Given Cost and Revenue functions C(q) =q³-8q² +54q+5000 and R(q) = -3q² + The costs are $ (Round to…

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Q: B. Find the general solution of the following 2nd order differential equation: y*+2y+2y=0

A: The given second order homogeneous differential equation is: y''+2y'+2y=0 Therefore, the auxiliary…

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: hestion B.) Does this CONVERGE or DIVERGE? 1 E 2 A=1 (lan)² √n

A: We have to find the convergence test

Q: Find in each of the following. dx sin x 1. y = 1+cosx

A: We have to find the derivative

Q: Evaluate (x²sin y-xcos(y)) dy A x²(1+ sin(1))-xcos (1) + C B x²(1-cos(1))-xsin (1) + C C 2sin…

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Q: y = x², y = 0, x = 1, and x = √5

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Q: Question Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 2), and (3,…

A: Given problem:- Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 2),…

Q: (-2xy) dx + (Sing-x)dy 3 7 dy + 3xy dx = x ēdx • (3x-2y + 2) dx + (3y-2x-2) dy zo (y + x² ) dx = xdy

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Q: T Use Wallis' formula: sinº (1) cos² (1) dx

A: Follow the procedure given below.

Q: B. Find the general solution of the following 2nd order differential equation: y +2y + 2y = 0

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations…

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Q: Q1:Discussion a continuity of the function f(x, y) at the point (0,0), where ey sinx f(x, y) = X (x,…

A: We want to check the continuity of the function at (0,0)

Q: Evaluate (x+2√Y) ds where C is given in the accompanying figure. (x+2√y) ds =D (Type an exact…

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Q: Find the integrals of the given in the picture

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Q: The graph of y = f(x) is given. 5 4 1 -4-3-2-1 123 -1 324 2 2 -5 -6+ State the value of each limit,…

A: Consider

Q: 4. 2x³y = y (g2 + 3z2)

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Q: y = tan (xxy) -1

A: We have to evaluate the following differential equation.

Q: The graph below is the function f(x) 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 Find lim Find lim Find lim Find…

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Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

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Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: We have to find the angle and speed of the plane.

Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

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Q: A landowner wishes to use 2 miles of fencing to enclose a rectangular region of maximum area. 1.…

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Q: Solve the differential equation dy = 1+x. dx Use the initial condition y(1) = 6. Express y in terms…

A: Given differential equation is of first order and first degree . We solve this equation using…

Q: 45. 2 (2-x)² √2+x I = (A) 2 √2=x dx = ²√ √/²³ (x) + (B) 1 +c, then f '(1) is equal to - c (C) 4

A: If, I=∫22-x22-x2+x3 dx=34f2x3+c, then to determine the value of f'1.

Q: Consider the function f(x) = 4xe-x². Identify the locations where f has transition points. (Give…

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Q: A force is specified by the vector F = (155i +80j - 200k) N. Calculate the angles made by F with the…

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Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: ind A or each of the following intervals, tell whether f(x) is increasing or decreasing. -∞o, A):…

A: Topic:- calculus

Q: Fill in the blanks in the following: 1. Ifa (3,-2, 6) and b=(4,-1,-6) the axb:

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Q: -3 4 For the matrices A = 2 1 -11 2 Determine whether the matrix 6 7 A The matrix is not a linear…

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Q: What integration technique can be used to integrate: (A) Integration Formulas (B) Integration By…

A: Option (d)

Q: (D² - 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: and

A: We have to find the solution of the given differential equation