Find any intercepts. y=x√ 16x² y-intercept: x-intercepts: (x, y) = (x, y) = = (x, y) (x, y) || (smallest x-value) (largest x-value)

Q: Find the equation of the tangent line to the graph of the function f(2)=sin(7√) at the point (²,0).…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  so we can take

Q: Example 13 Les A-[³3] and [3] A= B= Find AB and BA if they exist.

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

Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

A: f(x)=x^2, (0,9)

Q: Divide. (8x³-4x²-12x+15) + (2x-2) Your answer should give the quotient and the remainder. Quotient:…

A: Please see the below picture for detailed solution.

Q: S D

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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: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: The linear operator that annihilates anxn+an-1xn-1+....a0 is Dn+1 The linear operator that…

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: Sketch the solid region whose volume is given by the iterated integral. (Select the correct graph.)…

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Q: Use Simpson's 1/3 rule with (n₁ = 2), and Simpson's 3/8 rule with (n₂ = 3) to estimate tan-¹(2).…

A: We have to estimate the given function.

Q: Differentiate the following function: f'(x) = f(x) = e" + ce 니

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Q: Use Green's Theorem to evaluate the line integral (y - x)dx + (2x - y)dy

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Q: eley y³ dx + (27x-x³) dy, where C₁ is the unit circle given by r(t) = cos(t)i + sin(t)j, 0 ≤t≤ 2m.…

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Q: 9 (4) Giver Sifon dx = 37 g(x) dx = 16 So Find S (2 f5r1 + 3 ger)) f(x) dx and

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Q: (3x²-33x+90) 5x²-10x-120

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Q: Evaluate the integral, which has irreducible quadratic factors. (Use C for the constant of…

A: We will find the integral.

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

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

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Q: Given the function of two variables ƒ(x, y) = 4x³ − 60x² + 12xy² − 24y² +3. - - Find and classify…

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Q: We have verified that x² and x are linearly independent solutions of the following second-order,…

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Q: 10. lim 20-0 X In(x + 1) 3 f(x) -0.1 -0.01 -0.001 0 ? +

A: Please see the below picture for detailed solution.

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: A company's revenue from selling x units of an item is given as R = 1000x - x² dollars. If sales are…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: ep 2 We have found that the roots of the auxiliary equation are m₁ = -1 and m₂ = -2. In the case…

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Q: Choose the value of the area of the region enclosed by the curves y = 6x³, and y = 6x. O 3 O mla 316…

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Q: Determine whether the integral is convergent or divergent. el/x x³ O convergent O divergent If it is…

A: We need to find that given integral is convergent or divergent.

Q: y² = 8x,x=2, AOR = Y AXIS

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Q: A large snowball is melting so that its radius is decreasing at the rate of 4 inches per hour. How…

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Q: Find the derivative of f (y) = 9 tan (y) V 2 12 y³√√

A: To find the derivative of the below expression. fy=9tany−y2−12y3y

Q: 0 T 2 T 2 f² sin(x - y) dxdy is eg elect one: True False

A: Topic:- application of integration  Yes given statement is true .

Q: -1 O -5 -10 -4 2, IP 2 IP 3 4 10 5 X X -1 y 10 -1⁰ IP 2 3 4 X -5 -4 -3 IP -2 -1

A: Topic:- application of derivatives

Q: Find the divergence of the vector field F. F(x, y) = 3xe*i - 9x²y²j

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Q: If F = Pi+Qj+ Rk, prove that div (curl F) = 0

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: You want to buy a $243,000 home. You plan to pay 10% as a down payment, and take out a loan with a…

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Q: A farmer wants to enclose a rectangular area with 400 feet of fence. In order to maximize the area…

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Q: Find the absolute extreme values of the function on the given interval. g(x) = x(10-x) on [0, 10]…

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Q: (4x²y² - x² + 4xy² - x) dx + (2xy + x + 2y + 1)dy = 0

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: 2. S (5x-12) dx x³-6x²+8x

A: Given, ∫5x-12x3-6x2+8xdx

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = 8x-4xy+3y,…

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Q: 2 + y²

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Q: Write a polar equation of a conic with the focus at the origin and the given data. parabola,…

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Q: y 42², x², y y = 0, x = 4

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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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: The area of the region inside the circle r = 6 cos 0 and outside the cardioid r = 2(1 + cos), a > 0…

A: Given: the circle r =6 cos θ and the cardioid r=2(1+cosθ )

Q: Describe a plane vector u 9 Vector Match the vectors p, q, r, s, and t with one of the combinations…

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Q: EX: Show that circle.it 10 Sol: Z= re io dzir e do 24 & dz = 2πi where c is a unit § C:1Z1 =1 10 ire…

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