The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

Q: a) Find the area of the region enclosed by the curve y=x²-2 and by the line y = 2. y=x²-2 y=2 Co

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.

Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: The total arm and blade of a windshield wiper is 15in. long and rotates back and forth through an…

A: Draw a schematic diagram of given figure.

Q: converges

A: We have to determine the given series is convergent or divergent using integral test

Q: Graph the solution of the system of inequalities. x + 2y ≤ 8 3x y ≥ 0 y ≥ 2 X - -

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Q: integral

A: We have to calculate the given indefinite integral according to the given information

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x +h)-f(x)] /h. 11…

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: 2. -4 (a) f(-1) (c) f(0) -3 -1 *** y 1 -1 -2 -3 (b) f(2) (d) f(-2.5) 1 3

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Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: Note:- since part f incomplete to find value of x we need equations of revenue function and cost…

Q: (19))2a² = -6 +8a

A: solve quadratic equation by completing square 2a2=-6+8a

Q: CONTINUATION OF QUETION     Find the values of x for which g(x) ≤ 0. -  [−1, 1.8] and 4 -…

A: Let's solve.

Q: 2. Use the graph in Fig. 11 to determine the following limits. lim f (x) lim f(x) lim f (x) (b) lim…

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Q: Obtain general solution xcos2ydx+tanydy=0

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Q: A sports franchise revenue can be modeled by the function R(t) = 317 + 10t. Their operating costs…

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Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

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Q: help

A: The main difference between simple and compound interest

Q: у 1 0 1 T 1 X

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Q: 59. Horizontal; containing the point (-3,2)

A: find an equation for the line with given properties.

Q: Solve: 2 cos² x = x+sin x - 1 = 0, over the interval 0 < x < 2π

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

Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

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Q: 24. What does the integral test tell us about the summation below? A. The integral test cannot be…

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Q: Graph the following system of equations. x - 4y= -1 4x-3y=6 Use the graphing tool to graph the…

A: To graph the given system of equations

Q: Find T centered at x = 0 for all n for the function f(x) 1+x* (Use symbolic notation and fractions…

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Q: 9. State the domain of [fogl(x) for f(x)=√x - 2 and g(x) = 3x.

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Q: Evaluate sin 3x cos 5x dx.

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Q: Is the function g(x) continuous at x = 5? g(x)= O No 1 5X+7, 5x-13, for x>5 Choose the correct…

A: Given query is to find function is continuous or not at x = 5.

Q: 3. f(x)=; X+5 X-4 4. f(x)= |x-1| Find (a) f(-3) Find (a) f(-1) (b) f(-3) + 4 (b) f(-1) + 2 (c)…

A: Given functions:- 3. fx=x+5x-4 4. fx=x-1

Q: Find a vector n normal to the plane with the equation x+6y + 4z = -10. n= 00> (1₂)

A: Concept: The equation of the plane is written as: ax-x0+b(y-y0)+c(z-z0)=0 or ax+by+cz=d Here the…

Q: Let f and g be functions defined as f(x)=x²- 2x + 4 and 25 4 DNE 1 g(x) = 3x² + ²3. If h(x) ≥ g(x)…

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Q: Find the equation of the plane in xyz-space through the point P = (4, 2, 4) and perpendicular to the…

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Q: Find the decomposition a = ªb + ªь with respect to b if a = (x, y, z), b = (-1,-1,-1). (Give your…

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Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: C] Write in interval notation -3 -2 -1 0 1 2 3 4 -1 0 1 2 3

A: We can write the answers in the following steps.

Q: e average rate of change of f(x) = 6x² - 2 on the interval [5, a]. (Your answer will be an ion…

A: Given query is to find the average rate of change for the function.

Q: K Researchers developed a function that can be used to accurately predict the weight of female cows,…

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Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

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Q: Suppose an arrow is shot upward on the moon with a velocity of 38 m/s, then its height in meters…

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Q: A] Are these functions? 1. {(2,3), (-3,4), (-3,5)} 2. ((-2,4), (-3,4), (-4,4)} 3. f(x) = 4x + 5 4. À…

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Q: 36. Approximate approximation A. 3.039 B. 6.078 C. 8.105 D. 4.053 E. 12.156 the integral egral; de…

A: Let's find integral by using trapezoidal method.

Q: Given the graph of f(x) shown, answer the following. f(x) 4 (a) What is f-1(−1)? -2 15 10 5 5 10 -15…

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Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

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Q: 13. The rate at which a garden uses water is measuued in thousands of gallons. If the usage rate is…

A: I am attaching image so that you understand each and every step. Given data:- The rate at which a…

Q: Evaluate the following Limits: 3 1. lim x418 2. lim 1 3+ 2x x-1 x-1 √4x+5-3 3√x6+8 3. lim x→∞0…

A: Here is the required solution:

Q: Sketch the vector field F(x, y) = xỉ + yj and calculate the line integral of F along the line…

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Q: Find the domain of the rational function.

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Q: The count in a bacteria culture was 200 after 20 minutes and 1900 after 40 minutes. Assuming the…

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Q: 4 9. 54 = a¹

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Q: For 0<t<, a particle moves along the y-axis. The velocity of the particle at time t is g v (t)-cot…

A: U