Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x

Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t = 0

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Q: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure  water is then…

Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

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Q: Find the derivative of fx Fx = sin x/cos x+1

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Q: 3 co ós co -6 -3 144 -4 Let y = ,V1= 5 Compute the distance d from y to the subspace of R4 spanned…

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Q: 1 The area of a sector of a circle with a central angle of rad is 28 ft². Find the radius of the…

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Q: 16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3…

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Q: 8. What rule should be used in deriving f(x) = x³? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x…

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Q: 2) The diagram shows two squares. Name a single vector equivalent to each expression. B M F E D a)…

A: Given

Q: * - 6x 7e لا 87 لحملاملا

A: We need to solve D.E.

Q: One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0…

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Q: 1. Let = =(3, 2, 1) and 5 = (-4,3₁-1) e) Evaluate (3a+46) (3a - 4b). f) Find the angle between a and…

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Q: Ho Find (dy/dx) for: tanh-¹(x y) + e(x+y) 5 cos(y)

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Q: Below is the graph of y=e*. Transform it to make the graph of y=-e* +5. Give the domain and range of…

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Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

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Q: True or False: 6. If the limit exists at x = a then the function is continuous at x = a. 7. A…

A: This question can be solved using the concept of limit, continuity and differentiability.

Q: 1. A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   kg . the spring…

Q: Find the value of the following derivation y = x ln x sin x

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Q: Use GEOMETRY to compute the value of the definite integrals. Report EXACT answers - not decimal…

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Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = dx -

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Q: Given an acute angle Cosx=2/7, find the exact value of cos(x/2). (Use a half-angle formula)

A: As we know from the half angle formula; cosx2=±1+cosx2   Given; cosx=27

Q: 1. If x=11, 23and |-= 30; calculate +

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Q: Find the intervals where the function 1 f(x) = 2cosx + sin2x, 0 ≤ x ≤ 2π is concave up.

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Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

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Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: Consider the following polynomial function. f(x) = (x+2)²(x-1) Answer the questions regarding the…

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Q: 14) The solid is generated by rotating R about y = -3. 15) The solid is generated by rotating R…

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Q: . Using the diagram below, fill in the blanks. B A D F G E Column A: a) AB+ BC b) FE+FG c) HG+FB H…

A: Follow the procedure given below.

Q: Which of the following describes the graph of g(x) = -In(4 — x)? 8 7 5 4 2 2 -30-9-8-4 -6 -10 6 8 9…

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Q: A function f(x) is continuous on the real numbers and has the following features about the point x =…

A: This question is related to Functions, we will solve it using given information.

Q: F of X equals 3 sin X + cos 4X;(pi,1) Find the derivative and find the slope of the tangent line to…

A: Given:FX=3 sin X+cos 4X ; the point π,1

Q: What happens to the period as the orbital radius increases?

A: Given : Tell us about the relation between orbital radius and periods?

Q: b) 42x + 4 = 6 (HINT: use substitution)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Daniel is to print texts on a piece of paper. The area of the printed text is 20 square inches. All…

A: Find out the dimensions of the page that will use the least amount of paper.

Q: = 8* can be obtained from the graph of g(x) = 8 by one of the following The graph of the function…

A: We have f(x)=-8x and g(x)=8x So, f(x)=-g(x)

Q: Determine whether the function defined is one-to-one. f(x)=√/32-x² -X www Is the function…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 7. A spring is stretched 200 mm by a 15-kg block. If the block is displaced 100 mm downward from its…

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Q: 1. a) Given the lines L₁ : 7 = (1,2,−4) + t(k+ 1,3k + 1, k − 3) and L₂: x=2-3s, y = 1-10s, z = 3-5s,…

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Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

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Q: Find an equation of the tangent line to the curve at the given point. y = 3/sinx+cosx,    P = (0,…

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

A: We know that the curve x=f(y) ,the Y axis and the line y=a and y=b is revolved about the Y axis…

Q: 8 ["#f(z)de = [", 1(2)dz + ["*1(2)\dx = [ 1(²)dx, *, f(x) ƒ(z)dz -3 If what are the bounds of…

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Q: Determine the Cartesian equation of the plane that contains the line = (7,2,-1)+ a(4,5,1) and…

A: Given problem:- Determine the Cartesian equation of the plane that contains the line = (7,2,-1) +…

Q: b) what is the foci

A: Let's solve.

Q: The median value of a home in a particular market is decreasing exponentially. If the value of a…

A: According to the bartleby guidelines I can only answer the first three subquestions .

Q: Let C be a nonempty subset of a bounded set D. Why does inf C and sup C exist? Show that (c) inf D ≤…

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Q: By using the differential operator D and it's inverse, solve this equation: y"" - y" - 6y' = ex ex…

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