= Use the Riemann's Criterion for integrability to show that the function f(x) integrable on [0, b] for any b>0. +x

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

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Q: Use Figure 1 to evaluate each trigonometric function of angle AA. The side adjacent to angle AA has…

A: Given; The side adjacent to angle A has length 4 and the side opposite angle A has length 14.

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

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Q: Evaluate the following definite integral using substitution rule. 1. (2x - 1)² dx 2. fx √x² + 1 dx

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Q: (D² - 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

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Q: Solve what is asked in the following problems. Write your solutions and box your final answers 1.…

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Q: 90 y 2 1980

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t…

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Q: Q5: Derive the formula for trapezoidal Rule to evaluate f(x) dx a

A: SOLUTION-

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: 1. (ex + lny + 7) dx + ( 85 + In x + siny) dy = 0

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Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: Find the exact solution for e2x−4ex−32=0.   If there is no solution, enter NA.   Enclose…

A: Please follow the next step.

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Find the integrals of the given in the picture

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Q: A tight headed northeast from P-City to Q-on was sent 10 degrees off course by high winds. The plane…

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Q: 5. fe²x sin x dx 2x

A: Given ∫e2x sinx dxTo evaluate the integral:

Q: can you provide another clearer solution please

A: Explanation of the answer is as follows

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: (-2xy) dx + (Sing-x)dy 3 7 dy + 3xy dx = x ēdx • (3x-2y + 2) dx + (3y-2x-2) dy zo (y + x² ) dx = xdy

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Q: a. Solve 2 cos(2x) = √2 for x

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: To find the absolute maximum and minimum values of the given function: fθ=sin θ; -11π6≤θ≤-π2 Here,…

Q: Given Cost and Revenue functions C(q) =q³-8q² +54q+5000 and R(q) = -3q² + The costs are $ (Round to…

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Q: Q:2. Use the first derivative test to find the intervals on which the function is f(x) = x4. which…

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Q: A fifth degree polynomial with constant coefficients may have (1) 5 distinct real roots. (II) 3…

A: This question can be solved by using the concept of nature of roots of n degree polynomial.

Q: Q1: Find the for the following functions: dy dx 1- y = e(x+In 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh…

A: 1)y=ex+ln(5x) 2)y=cosh-1sin2x 3)y=xsinhx

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: Find the general solution to differential equations 2 #) (-2xy) dx + (Siny-x²) dy +³

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Q: What integration technique can be used to integrate: A Trigonometric Substitution B Integration…

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Q: Find the transition points. y = 2x6 =18x4 (Use symbolic notation and fractions where needed. Give…

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Q: Let s(t) = 8t³ - 12t² - 144t be the equation of motion for a particle. Find a function for the…

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Q: Find the indefinite integral: A X+X+C B x³ + x² + c с x5/5 + x²/2+c D 5x5+2x²+c Sx(x³ + 1)dx

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Q: Write the equation of the line. == (0, 2) is on the line. Select one: O a. -3x + 5y = -10 O b. 5x -…

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Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: y = sin² (3x)

A: Topic = Derivative

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

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Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 3), and (2, 0).…

A: SOLUTION-

Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one…

A: We need to find dimension of rectangle.

Q: -1 (a) cos (b) log5 (25) -√√3 2

A: Solved below.

Q: (b) Find the area of the region that lies inside the first curve and outside the second curve. r = 1…

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Q: Rewrite the Cartesian equation r(0) = Enter theta for if needed. = 3 as a polar equation.

A: Topic = Geometry

Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: e. Find the second derivaitve. f''(x) = = f. Use parts b through e to identify maximums as points.…

A: e.fx=2x3+3x2-36x-54f'x=6x2+6x-36f''x=12x+6f. for maximum point f'x is +ve to…

Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: Consider the function f(x) exact values. f'(x) = f''(x) = f'''(x) = = Compute each of the following.…

A: Topic:- derivatives

Q: f(x)= log (x-2) f(2.1)= log(2.1-2)= log 0.1 = -1 X 2.1 5 8 10 15 15)- 20 25 (20) 164 13 (x, f(x))…

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Q: : Evaluate the following integrate: 1- S x²dx √9-x² 2-√(2 + 5x) e dx

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