¹In(1+x) -dx X

Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

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Q: x² +11x+30 4x+20 For items 37-38: Given the function f(x) = [Select] 37. What is f' (6)? [Select]…

A: Given  f(x) = x2 +11x+304x +20    ------(1)

Q: Directions: Find the area of the region bounded by the curves. Use a clean sheet of paper for your…

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Q: Find a potential function f for the field F. F = (3y + 5z)i + (3x + 4z)j + (5x + 4y)k A general…

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Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: A normal line is a line that is perpendicular to the tangent line which touches a curve at one poin…

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Q: 33x хе x³e³x dx S

A: This question is based on integral by parts.

Q: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Calculate the centroid coordinates of quarter circle (x² + y² = a*) in the quadrant, use Cartesian…

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Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Decay and half life

Q: y = (b) -8 -2 ere to search - 6 y 2 -4 -6 -8 1 -4 2 4 1 y 2 61 -4 6 8 O 6 2 8 DELL X X 3. A

A: We have to find the equation of graph

Q: 4. y = 4x², x = 0, y = 16; about y = 16

A: Volume = ∫ πy2dx here y = 16 -4x2 and limit from x 0 to 2

Q: A payment of $2,170 was due three years ago, and a payment of $1,850 is due today. What single…

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Q: Find the absolute maximum and minimum values of the function f(x) = cos²x-3sinx on the interval…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: 5 dx Evaluate: (x-3)² 1 A B C D E -1 ∞o (does not exist) 1 0 None

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Q: Determine the derivative of the function g(x) = ex^2 - e(2x-5). Do not simplify your answer.

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Q: If f(x) = 5x (sin x + cos x), what is f'(x)? ○ 5 (sin(x) + cos(x)) + 5x (cos(x) = sin(x)) O No…

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Q: Which expression is the derivative of the function y = 9e-8 O No correct answer O9e-8 -8t O 72e-8…

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Q: Question Define R as the region bounded by the functions f(x) = around the x-axis, what is the…

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Q: S³ 3 sinh (4x - In 5) dx

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Q: What is the second derivative of the function y = -7 sin x cos x where x is ? Round your answer to…

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Q: [Select] the derivative of y? y = x⁹e²x+1 18. Which rule is applicable when solving for A.…

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Q: 2 2 the equation of the tangent plane to the surface x² + y² + y² +2²= -1 at the point (2, -3, 4)

A: I am attaching image so that you understand each and every step.

Q: Find the slope of the tangent line to the polar curve r = 1 + cos(0) at the point specified by 0 =…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ (In(x))²6 dx X

A: topic- indefinite integral

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

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Q: dx 1+x-2

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Q: Consider the curve, x² - y² + sin (TX) In(x) + x = 0. =

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Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 114 ft/sec Not…

A: Given problem:- A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat.…

Q: S (x - 8)dx x (x + 5)²

A: see below the answer and calculation

Q: dx (16+x)³3/²

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Q: ind the equations of the tangent line to the ellipse x² + 4y² + z² = 9, x = 2 at the point (2, -1,…

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Q: Solve for x in the triangle. Round your answer to the nearest tenth. 13 65° x = 0

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Q: Q1/B) Find the length of the cardioid curve: r = 1+ cose

A: A detailed solution is given below.

Q: Given cost and price (demand) functions and C(q) = 117q+31000 and p(q) = -2.3q+900, what price…

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Q: 50 [" (ax³ + bx² + cx) dx=2b -50 A) True B) False 50 x²dx

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Q: The derivative of f(x) with respect to x is the function f'(x) and is defined as f'(x) = lim 0…

A: The given equation of the curve y=x2+6x+2

Q: 2x²+x-2 (x+1)(x²+1) None 5 2 2 5 4 if f If A (B) C D E 1 5 | + 4 -MA+ x+1 -dx = А B (2x) + C x²+1…

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Q: 16. dx x√√16+x²

A: To find out the integration.

Q: Evaluate Sc (4x+3√7) ds ds where C is given in the accompanying figure. Sc (4x + 3√/y) ds = (Type an…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We can solve this as follows:

Q: A curve is given by the equation x4 + y = 82. Find the equation of the line tangent the curve at…

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Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. 16-y²…

A: Q=∫-44∫016-y2∫0y+6y2z dxdzdyS is the solid of integration of the integral Q.Sketch S and label its…

Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. 9-r2…

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Q: Suppose that f is a function given by f(x) = -2x + 7. Which is TRUE about the function? O lim/→0…

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Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. y = √√√√x² + z², y =…

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Q: Change the order of integration of the iterated double integral: -8 r2 To for Y dx dy. 1/3 x7 +1…

A: Let's change the order of given integration.

Q: A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…