26) Suppose that f and g are continuous and that Ś [4f(x)+ g(x)] dx. Find f(x) dx = -2 and ľ g(x) dx = 10.

Q: Find a power series representation for the function. (Give your power series representation centered…

A: Given fx=ln11-x We need to determine the radius of convergence.

Q: 翻转 替换图片 透明度。 删除 Solve for ax: 退出编辑 9 8 n=1 4x117 = 16

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Q: Determine an equation for the level surface of g that would pass through the pointa: (-7, -2, 5).…

A: We need to find level surface.

Q: Inverse laplace 1/(2s^2+4s+20)

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Q: how long would it take 20,000 to double if it earned 6.25 percent interest and was compounded…

A: Topic:- application of algebra

Q: Find an equation of the plane. The plane through the point (1, 8, 2) and with normal vector 5i + j -…

A: we have to find the plane equation which ,    passing through point P( 1, 8 ,2 )  and with normal…

Q: equation, find  dy/dx  evaluated at the given values. x2y + y2x = 0  at  x = −4, y =

A: Given query is to find derivative.

Q: A car dealership has 6 red, 11 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A: Given red cars - 6 silver cars - 11 black cars - 5 total cars - 22

Q: Given the vectors x = (1, 2) and y = (3, -1) find the linear combination vector z = 2x + 3y

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Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

A: We need to find area under the curve.

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ COS (2) n = 1 n!…

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Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. y -4 A Find the…

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Q: 4 Y 3 10 37° X

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Q: A curve is given S₁73 dx = ...? xy parametrically by = 3t + 1, y = 4t².

A: Given,            A curve is given parametrically by x=3t+1 , y=4t2.To find : ∫47xyt3dx

Q: Question 23 Find the area between the curve f(x) = x^2+15 and the x-axis from x = 2 to x = 6. the…

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Q: дх 5 + 2¹(1² 1 -)dt

A: To find the derivative

Q: For the equation given below, evaluate y' at the point (2, –1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: To find derivative of the given function.

Q: 2 24 1 A = (3) · B-15). C- ]-D-[2 B: = с = 1 3 20 Evaluate the following operations, A+B CB DE C-1…

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Q: Use implicit differentiation to find d2y/dx2 in terms of x and y.  3x2+2y2 = 5

A: The given differential equation is  3x2+2y2=5 We have to find the d2ydx2.

Q: Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere…

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Q: B) 롭 A) 5x tanx O 45 A) 46 11) y = x². Tanx > dy = ? Ta ン de 2 secxx D) 5x4 tanx D) Z B) X5 sec X 5…

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Q: ²4 cos 20; (0, ± ; (0, 4)

A: We have to find the value of the slope of the tangent of the above polar equation.

Q: (a) Use differentiation to find a power series representation for f(x) = f(x) = n = 0 What is the…

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Q: Find 5e³zy Ə ?х Question Help: Video

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Q: 8). Hy is a a differentiable function of X, then the slope of the curve of; 3 ³ = 6 at point where…

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Q: Find T, N and B for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t) at the point t = 0 Give your answers…

A: We need to find tangent, normal, binormal vectors.

Q: A lottery game has players selecting 5 numbers at random from the numbers 1-65. The state picks 20…

A: Please see the below picture for detailed solution.

Q: Determine which of the following is the particular solution for the differential equation (D² - 3D +…

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Q: Find the numbers b such that the average value of f(x) = 3 + 8x − 6x2 on the interval [0, b] is…

A: formula for average value is  favg=1b-a∫abf(x)dx∫xndx=xn+1n+1+c

Q: Solve for x in In(x+3)=5. Give an exact answer only. Write "no solution" if necessary. As always, be…

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Q: Find the limit. Enter DNE if the limit does not exist. x²y lim (z,y) → (0,0) x² + 7y²

A: It is required to find the limit limx,y→0,0x2yx2+7y2. First plug in the point and simplify.…

Q: (-15 ) 20 dx 备

A: Given indefinite integral ∫( 5x - 54x ) dx

Q: Although the process of identifying the absolute max/min of a function is different depending on…

A: When we have to identify the absolute max/min depending on whether the domain open/close, we need to…

Q: 4 Given the vectors ² = -37+√3 and V = √31-3³, find (a) the dot product = (b) |u²|= ? |V | = ? (c)…

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Q: Find the inverse of the given matrix. A = 1 -1 -1 0 2 1 0 = -6-7 Select the correct choice below…

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Q: (a) find vectors 30 and +2 (b) find lu + 2√1

A: The answers are given below:

Q: Given the following vectors, calculate −8u+7v U=(-8,5),V=(8,3)

A: Given query is to find indicated vector.

Q: If P 2 3 []-[1 Q = a b = PQ = QP then find the values of a and b.

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Q: 7. The distance in feet a ball has rolled after t seconds is given by the function f(t) = √t (a)…

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Q: Write the equation x=y^2 in polar coordinates and state the vaules of theta that produce the entire…

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Q: = Find the area of the region enclosed by y x = 3.5 - y². 1 1 2 3 and 3.5x and Use horizontal strips…

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Q: (14) y = Tan¹ (3); dy =? ax A) 15) 4+x² E) y= B) - 2√4-X² x²+4 Sec²(X); dy = ? Jx Tanx √4x² D) +…

A: To solve the problem we use derivatives properties and trigonometric properties.

Q: Evaluate the integral. [cx (2 + # ) co(2+) dz 0-csc (2 + 7) -CSC O + C -cot (z + = + z+ + C O cxc…

A: use the substitution method to solve the integral.

Q: Find the area of the region of r= √2 + sin(theta) and r= 3sin(theta)

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Q: Express the limit as a definite integral. IP-O Σ (32-6ck+7) Axk, where P is a partition of [-9, 2] {…

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Q: Determine the area of the region bounded by y = Area = || 3x x3 and y=- on the interval [1,10].

A: We know on [1,3] 3/x >= x/3 and on [3,10] x/3>=3/x

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A: To develop the equation of parabola.

Q: Find the area of the region bounded by the given curve: r = 3eº 2 on the intervalπ ≤ 0 ≤ 2π. 3″

A: Concept let r = f( θ ) θ1 ≤ θ ≤ θ2then area bounded by the curve A = 12∫r dθ

Q: Find

A: