Determine the angles made by the vector V-(-19)i + (-41) with the positive x- and y-axes. Write the unit vector n in the direction of V. Answers: ex- 0₂- no i i

Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

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Q: need

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Q: dy = 2e-2y, y(0)= 5. Solve the initial-value problem: dx 3 Write Answer In Simplest Form And Show…

A: We need to solve D.E.

Q: 7. Evaluate the volume generated by revolving the area bounded by the given curves using the hollow…

A: The given curves are x=4y-y2, y=x.   Now find the point of intersection between the curves…

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: Find the center and radius of the circle whose diameter has an endpoint at (3, -4) and the origin. 5…

A: Given that the endpoints of the diameter are 3,-4 and 0,0.

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 12.1435 B) 13.1435 12.7834…

A: The region bounded by y=ex, y=ln x, x=e, the x-axis and the y-axis.

Q: 1. Given function f, defined by the rule f (x) = a (c) bx + k Function fis represented in the…

A: Given that, the function f is defined by the rule     f(x)=acbx+k From the given graph , we can see…

Q: Points: A(2,1,-1), B(-3,0,1), and C(1,4,0) a.) find parametric equations of line that passes…

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Q: y = 2 sin 3x 1+3 cos2x

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Q: f(x) = , x -1 which the function is increasing, decreasing, or constant. x+2 7. The graph of the…

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Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

A: Topic = Geometry parabola

Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: 7. Find the Taylor series for f(x) = ln(9 – 3x) centered at 1. Write the final using sigma notation,…

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Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

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Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

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Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: The region in the first quadrant bounded by the graph of y-8-³, the x-axis, and the y-axis is…

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Q: 12) Consider the following exponential function f, Given that f(x) = -616, what is the value of x?…

A: exponential function

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: Use the theorems to evaluate the limit. lim x³ x → 2

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Q: Convert the Cartesian equation x² + y² + 3x = 0 to a polar equation. r² = = -3 cos 0 r= 3 cose r= -3…

A: Given x2+y2+3x=0To find polar equation:

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] fox)…

A: We have to solve and draw the graph.

Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

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Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

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Q: Find the lower sum for f(x) = +4 on the interval [-4, 0] using 2 rectangles. 10 "F Submit your…

A: Here we have to find the left sum of given function.

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: J udv = uv J to Explain why the substitutions below are inappropriate. Let U = eª and 1. Suppose we…

A: lets here we use integration by parts rule  ∫xexdx here lets u = x v = ex  is good to substitute…

Q: Solve the area bounded by the curve y=5-x^2 and the line y=2x. With graph.

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Q: 8. Determine whether the series (-1)" is absolutely convergent, conditionally 7n-5 n=1 convergent,…

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Q: 11. y = tan e³x + etan3x

A: We can find y' as below.

Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

A: As we know the standard form of first order linear differential equation. dydx+Py=Q Where P and Q is…

Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

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Q: A biochemist is testing the effect of a new antibiotic on a particular mould growing in a petri…

A: We need to find time and rate of area increase. As per Bartleby's guidelines we can only solve 3…

Q: 3. For the below ordinary differential equation with initial conditions, state the order and…

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Q: } L 1 (s? +1)(s? + 25)

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Q: A 60-m climbing rope is hanging over the side of a tall cliff. How much work is performed in pulling…

A: We have to find work done.

Q: HOME ASSIGNMENT #01 cosec cosec² x - 2009 A(X) 73. If -dx = - 2009 COS X (B(x)) 20 [0, 2лs (where…

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

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Q: A region is bounded by the y=x² and y=6x-x2, Which of the following integrals would approximate the…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: Given: c= 8, a = 5, C = 67° a A B Solve the triangle. (Do not round until the final answer. Round…

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Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: For the given function f(x,y)=x²y³+3x³y, find a flay

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Q: For the given function f(x,y)=x²y³+3x³y, find a flay (A) 2xy³+9x²y B) 2+18xy C) 6xy²+9x² D 3x²y²+3x³

A: Topic = Derivative

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: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

A: The objective is to find the rule of the inverse of the function.

Q: A given partial fraction B can be evaluated as: A) 7/35 B) 8/85 6/23 D) 13/85 2x (x-1)(x+4) (x²+1) A…

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