Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

Q: The general solution of y” + y = cos2 x

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Q: 10 = (+5x)dx 45x+9 -1 7/4 52 (+9) + 48 (x+g)' f(x+9) + 2

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Q: Convert each pair of polar coordinates to rectangular coordinates 1. (3, 225 degrees

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Which of the following statements about the graph of f(x) = (2.25) shown above are true? Select all…

A: Given graph of f(x)=(2.25)x

Q: Evaluate the integral. 34 1 8- dx

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Q: 1. Evaluate the given integral Q. √x²+1 (x - y² + 1) dy dx

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Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 −…

A: This question is based on Partial differentiation.

Q: Compute the average rate of change of f(x) = x2 − 2x on the interval [1, 3]. Find c ∈ (1, 3) which…

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Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: 1. Evaluate the given integral Q. J[(y - 2x) dA, R where is the region bounded by x = 0, y = x, x =…

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Q: 3t4 - 6t+ 3et Let f(t) = Then f'(t) =

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: (1, -2) (a) The curve with equation y2 = x³ + 3x² is called the Tschirnhausen cubic. Find an…

A: We have to find the tangent equation and draw the graph.

Q: 2 3/2 √₁² (4- x²) ³/² dx

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Q: 3. f(x)= x² + 3

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Q: Siven a = (1, 2, 1) and b - (k. 1, 2) and a × b = √35. X Determine the value(s) of k.

A: Follow the procedure given below.

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: 2. Find the following integrals: a. √3x²-x+5 b. S 3x² √x3-10

A: We can solve this as follows:

Q: [x³√₁-x² 2

A: ∫x31-x2dx=∫1-x2x3dx Let 1-x2=t⇒-2xdx=dt⇒xdx=-dt2                         =-∫(1-t)tdt2=-12∫(1-t)tdt…

Q: From a certain instant, a right circular cylinder has a radius of 10 cm and altitude of 15 cm.  At…

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

Q: f I. Evaluate tan 2x dx

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: 3√3 dx √3 x² √√x²+9

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Q: 9. f(x) = xe−2*, a = 0

A: According to bartleby guidelines I can only answer the first question of the two given.

Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 1 2 1 1 2,

A: Given

Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx…

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Q: Find the general equation of the circle of curvature of the parametric equation t+1 X: ; y = ±…

A: This is a problem of finding equation of the circle of curvature. Based on the general formula and…

Q: 1. Evaluate the given integral Q. ² = £ Q L² L² (²x - 3) (x - y) dx dy

A: Let I=∫01∫y2yx-ydxdyI=∫01I2dyHere we…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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Q: f(x)=xe*, a =0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Consider the initial-value problem y' = 8x³y, y (2) = 5 Solve the initial-value problem to find the…

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Q: x==2t X 1 1-y = Given: line ₁ = -8 and ₂ = = y = 2+2t. 3 2 z = 6 + 2t 1. If the given lines…

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Q: A. Evaluate the follow 1. S dy 3+√y+3

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Q: The function f(x) = 2x³ +4.98x² + 26.2416x +2.34 is increasing on the open interval ( It is…

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Q: 1. Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2 cos(3t)…

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Q: Physical Applications of First-Order Differential Equations A body of unknown temperature is placed…

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Q: 2. y = 1 (tanh~' 2x)3

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: Evaluate ³9x³y² dydz Select one: a. 3360 O b. 1280 OC 2245 O d. 652

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Q: 3x 4. Find the member of the curve whose slope at any point is and passes through the 4y

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Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

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Q: air resistance can be ignored, how high does it go?

A: Given query is to find the height of the ball.

Q: 6) A force, F, of 52 N is acting in the direction of a = [2,5] a) Find a unit vector in the…

A: We need to find unit vector and force.

Q: Given: f(x) = 10-X Find and simplity (fof)

A: We have to find the composite function.

Q: 1. f(t) = (t5+t) (t³ - 4t+1) 2. g(x) = (+1)(3x - 1) 3. h(x)=¹

A: Topic:- function

Q: A forest has a population of lynx and a population of rabbits. Let x represent the number of lynx…

A: Let's solve given diffrential equation.

Q: 1. The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: I have stated the used formulas in the solution

Q: (x-1) dy + (y-2) dx = 0

A: To solve the given differential equation