Find missing number in the series  3,12,26,45,8,22,41,65,13,32,__,85,18

Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture.

Q: Find the indefinite integral. | 15 7 19 – 14 d t8 - dt

A: We have to solve the integral

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: answer is in next step. please give a like!!

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: To give the solution with proper explanation for the given problem. To find the indefinite integral…

Q: -5 -4 -3 -2 -1 E у 6 5 4 3 2 I 1 H - -21 3 -4 -5 -6 1 2 3 4 5 X

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin(x) (cos(t²) + t)dt…

A: Given that , hx=∫-1sinxcost2+tdt h'x=?

Q: If 2x² + 3x + xy = 3 and y(3) = — 8, find y' (3) by implicit differentiatio

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Q: 2. What is the maximum value of the parabola shown? y = - 2(2x − 1)² - 5 a) x = -1/ b) y = -5 c) x =…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

Q: (a) √3x³ + 3x - 2 dx (b) √3x²+√x dx √x (c) főz (z ² − z− ¹) dz (d) 2² (3−u)(3u + 1) du

A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If…

Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: Suppose that a population grows according to the unlimited growth model described by the…

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Q: The area of the surface formed by revolving the curve x = 2√1-y in the interval 0 ≤ y ≤ 1 about the…

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Q: Consider the following function. f(x) = x² - 4x + 5 (a) Find the critical numbers of f. (Enter your…

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Q: x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your…

A: Topic:- application of derivatives

Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: (b) Find a particular solution for each of the given differential equations (i) y" - 6y +9y = e² - 5…

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Q: A lawn mower is pushed a distance of 250 ft along a horizontal path by a constant force of 45 lb.…

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Q: Evaluate the following integral using integration by parts. Sxe ³x d dx Use the integration by parts…

A: We have given to find integral  ∫xe3x dx Let,  I=∫x e3x dx Using integration by parts ∫u dv=uv-∫v du…

Q: S -6 √36-Lnx dx @ S₂ (6) x Secx dx Ln(secx+tanx

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Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

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Q: Finding the Domain and Range of a Function In Exercises 7-10, use the graph of the function to find…

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Q: For the linear function y = f(x) df dx a. Find at x = 8. ƒ'(8) = b. Find a formula for x = f-1(y).…

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Q: Write the expression in power form ax for numbers a and b. 3 8 8x²

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Q: 1. Express the following equation in vertex form: y coordinates of the vertex point. 2 = 3x² 12x +…

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Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

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Q: Express a = the limit lim Σ(4(x*)² – 3(x* )³) Aï; over [6, 7] as an integral. n→∞ i=1 Provide a, b…

A: The given limit limn→∞∑i=1∞4xi*2-3xi*3∆xi over the interval 6,7

Q: Find the equation of y, given the derivative and the indicated point on the curve. dy dx = 2x - 1 y…

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Q: -5x 5 dx

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Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: Which of the following is the correct limit definition for the derivative of g(x) = x² + x? O (x+h)²…

A: We have given function  gx=x2+x gx+h=x+h2+x+h Derivative of g(x) is given as  g'x=limh→0gx+h-gxh…

Q: Given the following function, find the values of f (5,2) x = 5 + xln(xy-9) f(x,y) O A. 25 OB. 10 OC.…

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Q: [2re™² dr a. 2xe*² + C b. x20x³ 3 @. ex² + C d. x²e² + C + C

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Q: 1.Use interval notation to determine f(x)

A: Concept: The graph of a function: The graph of a function is the set of all points (x,y) in the…

Q: A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given by x(t), whose…

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Q: 1 a 3 2 1 a 1 To find the blue shaded area above, we would calculate: b Where: f(x)dx = area 1 2 3 4…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given integral ∫2x2+4x-3x-7dx use the integral formulas, ∫udu=un+1n+1+C∫du=u+C∫duu=lnu+C

Q: A woman standing on a hill sees a flagpole that she knows is 70 ft tall. The angle of depression to…

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Q: Solve the separable differential equation dx 2 dt and find the particular solution satisfying the…

A: Please see the below picture for detailed solution.

Q: Find the area of the surface. The part of the plane 3x+2y+z=6 that lies inside the cylinder x² + y²…

A: Since, the equation of the cylinder is x2+y2=4 and  3x+2y+z=6⇒z=6-3x-2yParameterize the surface of…

Q: -10 -5 I(X) 10 5 10 5 10 X

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Q: 8. Simplify 2√80-7√20 a) — 6√5 b) 90 c) 5√22 d) 22√5

A: Concept: Square root: The symbol for a number's square root is n. The outcome of multiplying or…

Q: Solve the differential equation v(x) = dy dx 3y x > 0.

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Q: (a) The complex number 2=-1+/ in polar form is z = (b) The complex number z = 2( z = (c) The complex…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first question. If…

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors…

A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

Q: State the domain: -6 -4 -2 6 2- 0 -2 2 4 6

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Q: 1 1 X

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: 12. y= tanh(t2 +1)

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Q: valuate the following definite integral. 0 1 30 x² - - 25 Find the partial fraction decomposition of…

A: Solving the problem by finding the value of the definite integration.