Find equation of langent line y=-6-2x-3x² at (1,-11)

Q: d²y (x) dx² 6 dy (x) + By(x) = xe ²x xẻ dx / general solution ?

A: We have to find the solution of differential equation

Q: Find the absolute extreme values of each function on the interval. 1 F(x) = - 0.5 ≤ x ≤2 x2, =…

A: Topic:- application of derivatives

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: f(x) = 2 cos x - cos 2x.

A: Given function f(x) =2 cos x - cos 2 x    ; [0, 2π]

Q: 4. If f(x) ≥ 0 for all x € [a, b] and a. 0 b. A b [²² f = A, which of the following is the value of…

A: We can solve the given integral.

Q: 4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H…

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Q: Use the vertical line test to determine if y is a function of x in the graph. Oy is not a function…

A: Vertical line test: If a vertical line cuts the graph at only one point then the given graph is the…

Q: 8. (x - 1) dx √x lim

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Q: <Notes Let R be the region bounded by y=1/x, x=1, and the x axis on [1, infinity] and let S be the…

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Q: ANI (2k + 1)!

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Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

Q: Evaluate the following integrals: a) b) cos(x) sin²(x) + sin(x) S = √tln(t) dt. dx;

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Q: Q2) Evaluate the following integral (use Integration by Parts) Su². cos³ u+5 1-sin² u du

A: Concept: Integration by parts: To combine the end result of two or more functions, integration by…

Q: R is the region bounded by the functions f(x) = 3 − 2cos(x) and g(x) = sin(x). Find the area of the…

A: A detailed solution is given below.

Q: The Newton forward-difference formula is used to approximate f (0.3) given the following data. 0.0…

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Q: 11790 round of to nearest 10s And hundreds??

A: 11790 round of to nearest 10s And hundreds??

Q: Find the sum of the following: 1) Σ=3 2 i (i -2)]

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Q: INTEGRATION OF 1/1+TANX

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Q: 4. If f(x) > 0 for all x € [a, b] and a. 0 b. A (² f = A, which of the following is the value of c.…

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Q: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

A: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

Q: 7. A company sells two models of a product. Suppose the profit equation is P(91,92)=−16.0 +598.8q₁…

A: We have to find the profit.

Q: 3x2+4 х3их н dx

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Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

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Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: Let ( 3x² + 2, f(x) = { 2x - 3, be a piecewise function. Evaluate 5 Sof(x)dx= 3 if x < 3 if x ≥ 3

A: The given function:fx=3x2+2if x&lt;32x-3if x≥3.We need to find ∫35fxdx.

Q: Find the area of the region that is bounded above by the curve f(x) = sqrt(x−7) and the curve g(x) =…

A: The given curves: fx=x-7 and gx=19-x.The area is bounded by the above curves and x axis.

Q: If d is a positive and not perfect square integer in [6,8]. Assume that √d = [ao; a₁, a₂, 3, 1, a5]

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Q: 14. Form a quadratic polynomial whose one zero is 8and product of the zeros is -56 15. If the zeros…

A: We have to find out quadratic polynomial

Q: -0.1 0.9062cos (1-√√3x) d x 吧。 (1-√³x)]" [sin (1- sin (1-√√3a) - sin (1-√√3(-0.1)) sin (1-√3a) 1-√3a…

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Q: A triangle is placed in a semicircle with a radius of 6ft, as shown below. Find the area of the…

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Q: Use the rules for sums of powers of integers to compute the sum. 18 Σ; j=5

A: We can find the answer in the following steps.

Q: Exercise: Find the area 1. 2. of the region bounded y= y₁ q-x², x=0, x=2, X-axis. y=x²+₁, X=1, x= 3,…

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Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval.…

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Q: For any vector v and positive constant c, the vector is a vector in the same direction as v. Select…

A: This question is related to vectors, we will solve it using given information.

Q: Example 5-34: For each of the density functions of a continuous random variable X shown below, find…

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Q: Find the total area between the graph of ​f(x)=x^2−4 and the​ x-axis from x=0 to x=10.   The total…

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Q: Integrate the function So x² e ²x 2x both analytically and numerically. For the numerical…

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Q: y ′ + xe y = 0.

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Q: a. b. secx dx √In(secx + tan x) In x dx x√ln² x + 1 S

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Q: 3. Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B…

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Q: E. Find an equation of the plane passing through the point (6, 3, 5) and containing the line of…

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Q: Evaluate the integrals: 1. f2-* dx √x (ln 2-1) dx 2.

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Q: Part 1 of 7 (h+k) (1) is. Part 2 of 7 (k-h) (4) is. 00 00 X X Undefined Undefined S

A: To find out the following values.

Q: e. f. dx x log10 x [x²: x² sin x dx

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Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

Q: Let f be the function that contains the point (-1,8) and satisfies the dy 10 dx x²+1 (a) Write the…

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Q: 1 Use the identity sin²x = to obtain the Maclaurin series for sin² r. Then differentiate this series…

A: Here is the step by step solution of ques 4.