Q2) Find the derivative of f(x)(Hint: use the fundamental theorem of calculus -part f(x)= | 1+2x t cost dt sinx

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Q: A long solenoid with 1.50 x 10³ turns per meter and radius 2.00 cm carries an oscillating current I…

A: a)E=0.01865cos(90πt)V/mb)clockwiseExplanation:Step 1:Step 2:Step 3:

Q: Evaluate the definite integral. 5 L³× √5x² - 4 dx X

A: Answer is  3266​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 3 In Exercises 5 and 6, let f(x) = x³ + 2x + 1, and assume that f-1 exists and has domain (-∞, ∞0).…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: Verify the Divergence Theorem for the vector field and region: F = (7x, 3z, 9y) and the region x² +…

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Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

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Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given…

A: An increase of $ 5600/191Explanation:

Q: For f(x)dx = lim f(x," )Ax,, determine the value of Axi. √²₁₂ max Ax, 0 Ola n 21˚ O O n 4-0 O O >18

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Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the nature of the given logical expression: (p AND q)…

Q: Suppose that  f(x) = 10x − 7 ln(x),      x > 0.  (If an answer does not exist, enter DNE.) (a)…

A: (a) Partition number of f′(x): x=7/10(b) Critical value of f(x): x=7/10(c) Interval where f(x) is…

Q: End Find the derivative from FIRST PRINCIPLES of A 3) 3 f(x) = 2x+1 nobonut gniwo

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Q: The graph of the derivative of a continuous function f is shown. (Assume continues to .) y 4 y-fix 2…

A: As per our guidelines we can answer only 3 subparts of a given question so kindly repost the…

Q: Consider the logarithmic function: g(x) = 3 log2 (1-x) - 6 d) Sketch the function using the method…

A: Check explanation Explanation:Problem:Consider the logarithmic function:g(x) = 3log₂(1 - x) - 6d)…

Q: (sin (sin x - - 6 cos x) dx

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Q: Find the 800th derivative of f(x) = xex. F (800) (x) =

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Q: A piece of cardboard measures 45 cm by 30 cm. Two equal squares are removed from the corners of a…

A: The objective of this question is to find the volume of a box that can be formed from a piece of…

Q: Given cot(y) = x, what is dy/dx?

A: dxdy​=−1+x21​Explanation:

Q: Let s(t)= v(t) == 6+3 + 45t² + 108t be the equation of motion for a particle. Find a function for…

A: We need to find velocity and acceleration.

Q: Find the area of the region inside the blue circle r = 2 cos 0 but outside the red circle r = 1…

A: To find the area of the region inside the blue circle  butoutside the red circle  shown below.

Q: 6 6 + 2+1 2+2 + 6 2 + 3 +.. + 6 2+1

A: The given sum

Q: Suppose that ƒ is a function given as f(x) = −x² + 5x − 3. Simplify the expression f(x + h). f(x+h)…

A: given function

Q: Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the…

A: (a) degree of the function=5(B) 4 distinct Zeroes = 0,25​,−i,i         In which two are real zeroes…

Q: ← The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

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Q: Find the maximum value of w=xyz on the line of intersection of the two planes x+y+z=40 and x+y-z=0.

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Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

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Q: Find the number of stationary points for the graph of y=1/2x^4−2x^3−4x^2+11.

A: The objective of this question is to find the number of stationary points for the given function y =…

Q: Differentiate the function. 이 y=(3x-2) (4-x)4 dy 口 dx

A: To differentiate the following function.

Q: Consider the following higher degree polynomial function f(x) = -2x2 (5-2x) (x² + 1). f) Sketch the…

A: Hence the required answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

Q: 1. Find an equation of the tangent plane to the given surface at the specific point. (a) z = x2…

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Q: Find SS, 20 JA, R = [0,2] x [3,3] x²+1 Round H answer 10 H

A: The answer is as follows: ∫∫R​x2+1xy2​dA=9ln5.Explanation:Steps and explanations are as follows…

Q: Evaluate fim x+

A: We will find the limit.

Q: Find the volume of the solid whose base is the equation x² + y² = 25 (a circle with radius = 5),…

A: The objective of this problem is to find the volume of a solid with a circular base and isosceles…

Q: Iff (0) = g(0) = 0 and f" and g" are continuous, show that [“ƒ (x)g"(x) dx = f(a)g'(a) – f'(a)g(a) +…

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Q: (x - Solve the following expression for x. What is (are) the value(s) of the positive root(s)?…

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Q: Consider the following function: Step 1 of 4: Determine f'(x) and f "(x). 16x) = -1x-4x-8 f(x)

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Q: Exercise: Solve the equation d³y dy dx3 +3d²y +3d+ y = 0 dx2 dx

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Q: [ (sec y) (tan y (sec y)(tan y - sec y) dy

A: (secsecse  se secCWhere , C is constant of integration.

Q: 2x²+2x+3 Consider the function y=4x-4x (a) To use a limit and find its horizontal asymptote what…

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Q: Animal feed is to be made from corn and mixed seeds. One pound of corn has 30 units of fat and 20…

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Q: Vector-valued functions (VVF) VVF Point P t value (for point 1 r(t) = ½ t²i + √4 − t j + √t + 1k (0,…

A: equation of tangent is as follows-2x​=−22​1​y−2​=23​1​z−1​Explanation:Step 1:Step 2:Step 3: Step 4:

Q: MY NOTES On what interval(s) is the function f(x)=x11-11x10 11x10 +24 both decreasing and concave…

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Q: Consider the vector whose initial point is P(3, 1) and terminal point is Q(4, -6). Find the position…

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Q: Demand According to economic theory, the demand x for a quantity in a free market decreases as the…

A: Given:the number x of DVD players people are willing to buy per week from a retail chain at a price…

Q: A graphing calculator is recommended. in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by…

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Q: Suppose that f is a function given as f(x) = x² + 2x + 3. Simplify the expression f(x + h). f(x + h)…

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Q: (b) Find parametric equations that represent the line segment from (-1, 7) to (1, 3) for 0 ≤t≤ 1.…

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Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

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Q: f(x, y, z) = √x + yz, P(1, 1, 3), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: A) "&gt;&lt;2x+yz​1​,2x+yz​z​,2x+yz​y​&gt;B) "&gt;&lt;41​,43​,41​&gt;C)2815​Explanation:

Q: Please help me with this, thanks!

A: The objective of this question is to find the dimensions of the garden that will maximize the…

Q: Solution to question 2 (a),(b),(c) please

A: (a)f(x)=arcsin(log2​(2x+1)+x)f′(x)=1−(log2​(2x+1)+x)2​3​⋅(2x+1)ln(2)+11​ (b)…