g(x) = * (4 + sin(t)) dt

Q: 1 Consider the functions f(x) = 7x + 1 and g(x)= 7(x-1). (a) Find f(g(x)). (b) Find g(f(x)). (c)…

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Q: Find the derivative of the function. f(x) = (2x3)4(x² + x + 1)5 :- 3) ³ ( x² + x +: f'(x) = (2x-…

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Q: A. Use the Maclaurin Series with n=4 to approximate cos(2.1) to 4 decimal places. B. Using your…

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Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: Given:, where   is in 2nd quadrant.To find:To find the exact value of the following.Note: Since, the…

Q: Find the total differential U=-2t tan(7st)

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Q: Problem Let g(x) = f f(t) dt, where f is the function whose graph is shown below. Evaluate g(4). 2 1…

A: Consider the graph

Q: 9. Find and simplify the difference quotient for a. g(x) = 2²/12 X b. f(x) = √x

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Q: Find the limits of integration ly, uy, Ix, ux, lz, uz (some of which will involve variables x, y, z)…

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Q: Find a basis for the solution space of the given homogeneous linear system: a-3b+2c-4d=0…

A: Find a basis for the solution space of the given homogeneous linear system:a-3b+2c-4d=02a-5b+7c-3d=0

Q: How about the solution for #5?

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Q: Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. f(x)=x²-12x+4…

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Q: For the demand equation, express the total revenue R as a function of the price p per item q=-8p +…

A: Given that the demand equation is

Q: oving sidewalk in an airport moves people between gates. It takes Jason's 3-year-old daughter Josie…

A: moving sidewalk in an airport moves people between gates. It takes Jason's 5-year-old daughter Josie…

Q: Z Find the mass of the solid paraboloid D = {(r,0,z): 0 ≤z≤ 64 - 2, 0≤r≤ 8} with density p(r,9,z) =…

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Q: A sphere, centered at the origin, has radius 3. Find integrals that compute its volume, using…

A: We find the integral that compute the  volume of the sphere, centered at the origin, has radius 3 in…

Q: Find the volume V of the solid below the paraboloid z=4-x-y and above the following region.…

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Q: *The total revenue function for a blender is R(x)=36x -0.01x² where is the number of blenders sold.…

A: The given revenue function is The average rate of change of function f(x) over the interval  is

Q: Find the exact area of the finite region bounded by y = sin(x) and y = cos(x) from x = 0 to x =…

A: Area bounded by the curves y=f(x) and y=g(x) such that on [a,b] is given by

Q: items. C(x)=300+7x+0.05x² company has total cost function C(x) (in dollars), where is x is the…

A: We solve the given problem by using the concept of derivatives.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-9, 5) Radius:…

A: To find the standard equation of the sphere with the given characteristics.

Q: A volume is described as follows: 1. the base is the region bounded by y = 5 and y = 0 9 2. every…

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Q: Consider the following. f(t)= t + cos(t), -2π st≤ 2.T (a) Find the interval of increase. (Enter your…

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Q: Use the Mean Value Theorem to prove: If f(x) and g(x) are differentiable on an interval (a, b) and…

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Q: 15.Suppose a ball is thrown and the height of the ball is given by the function y(t) = -0.8t² + 50t…

A: Given that a ball is thrown and the height of the ball is given by the function, where t is the…

Q: Find the critical points of f(x)=x^3-12x-5 and identify the open intervals on which f is increasing…

A: To a. Find the critical points of f(x)=x^3-12x-5 and identify the open intervals on which f is…

Q: Verify Green's Theorem by evaluating both integrals an √ 7² dx + x² dy = √ √ √ (²x- ax for the given…

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Q: please provide the answer for part d)

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Q: Graph the polynomial P(r) = r (d) Determine the concavity (e) Sketch the graph of the fu points in…

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Q: Find the total area of the shaded regions enclosed by y = 3x³ – x² – 11x and y = − x² +> - X.

A: The intersection points are (-2,-6),(0,0),(2,-2)

Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C is the top…

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Q: 5. L 6. L S S+2 2 S² + 4s +3 S+2 (s² + 4s+6)² 2

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Q: (b) A cone-shaped ice is melting at the rate of 2 m³/s in a manner that maintains its original…

A: The initial radius is r=50 mThe initial height is h=100 mFind the ratio of height over a radiusThe…

Q: for 4. Sketch the graph of the function on the given interval. h. Calculate Ax and the grid points…

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Q: The sum + is between 8 (A) and 3 (B) and 1 (C) 1 and 1 14/ D) 1 and 1/2 E) 1 and 2

A: The given is  Sum of this can be calculated  as           =                         =…

Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: Velocity v (mi/h) 150 100 50 t = Acceleration = 4812 Time t (s) Round the answers to the nearest…

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Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: We have given thatsinθ = 3/5 and  lies in 2nd quadrant .

Q: x^1/3(x+3)^2/3 find critical points, increasing and decreasing, inflection points, local minimum and…

A: f(x)=

Q: Use the Mean Value Theorem to prove: If f(x) and g(x) are differentiable on an interval (a, b) and…

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

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Q: Evaluate the following integral in cylindrical coordinates. 379-x- 4 jjj 1 -3 0 01+x^+ 3√√9-x² 4 -dz…

A: The given integral is

Q: Given: (x is number of items) Demand function: d(x) = 300 -0.6x Supply function: s(x) 0.2x Find the…

A: As per guidelines we can answer only first question if multiple questions are posted.Please repost…

Q: Find all solutions of the equation cos(x) sin(x) — 2 cos(x) = 0. The answer is A + Bk where k is any…

A: We have given a trigonometric equation We have to find the values of A and B.

Q: standard y = mx + b form, the tangent line to the parametric curve( 1/(t^2 +1) , 1/t) at the

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Q: Find the divF given that F=∇f=∇ where f(x,y,z)=xy^3z^2 divF=

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder a2 + y2 = 25 and…

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Q: Graph the polynomial P(x) = ³ + ²-5r+3 using calculus by showing the given steps: (a) Find the 2-…

A: Note: As per our guidelines we are supposed to answer only 3 sub parts if there are multiple sub…

Q: Differentiate the following function. √√/2²2² +4√√/13³ u u'(t) = || X

A: u=5) +4 sqrt(t3)

Q: Finish solving the triangle: A ZA = ZB= ZC = 1. a a = C 7 b= 10 C = 9 Enter your answer as a decimal…

A: Consider the triangle

Q: 8. Let f(x) = x² - 3x + 1 and g(x) 2x² + 5x - 3. a. Find f(x) - g(x + 2). Simplify as much as…

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