- Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

Q: Use the information to evaluate and compare Ay and dy. (Round your answers to four decimal places.)…

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Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

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Q: 1. The point (-2, 5) lies on the circle whose center is at (-1,-3). Write the standard form of the…

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Q: Expand/Write out (but do NOT calculate) the Riemann sum, Rs, for the function f(x) = 1 - |x| on the…

A: The function is given as , fx=1-x on -1,14 Write the Riemann sum R5.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: Given:    f''(x) = 4    f'(2) = 11    f(2) = 16

Q: (b) ^ / dx a² I

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Q: Evaluate

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Q: 1.3 domain: What is the domain of y = ln (x² - x - 6)? help (inequalities)

A: The function is  y=ln(x2-x-6)

Q: ¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope…

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Q: 11. A ball is thrown downward with a speed of 8 ft/s from the top of a 64-foot-tall building. After…

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Q: Suppose f(z) represents the total number of children that have a symptom, and z is the number of…

A: We can answer both the question as below.

Q: Write an expression in factored form for the polynomial of least poss 5+ 3 W 1 2 3 4 5 -2+ -3 -5 -4…

A: We have to write the polynomial in factor form from the given graph of polynomial

Q: Find the exact length of the curve. x = 1 + 12t², y = 1 + 8t³, 0≤t≤4

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Q: Use the comparison theorem with f(x) = = 1 √x to show that [₂²= 1 √x-1 is divergent.

A: See this solution in below

Q: e differentiation to find a power series re f(x) = Σ( n = 0 1 (4 + x)² s the radius of convergence,…

A: We have to find the power series of the given function and radius of convergence according to the…

Q: in open rectangular box (no top) with volume 8 cubic meters has a square base. Express the surface…

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Q: . Use the definition of Taylor series to find the first four nonzero terms of the Taylor series for…

A: Taylor series ;             In the more compact sigma notation, this can be written as…

Q: A company wants to start a new clothing line. The cost to se up production is 35, 000 dollars and…

A: The solution is given below

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: Let the transformation in and the appropriate order of how to make a graph of y= -4F(1/5(x-1))-3…

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Q: Consider the graph of f'(x) shown below in blue. Submit your answer to this question by completing…

A: for local maxima f'(x)=0f''(x)>0

Q: Complete the following steps for the given​ function, interval, and value of n.   a. Sketch the…

A: Let's solve.

Q: (b) x-2º dr

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Q: g(x) 8. Assume that f(x) and table. Use the following table to calculate the following derivative. 1…

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Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: Given:    z = x2 + y2  Point: ( 5, 0, 0 )

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5 4…

A: Here we have to find the function.

Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: Give some examples atleast three where basic comparison test fails . Also investigate convergence of…

A: Given : we will given the three example where the basic camparison test fails.

Q: (e) [ 4z. 4x · cos(2-3x)da

A: Topic:- application of integration

Q: Graph the function. Plot all necessary asymptotes. Plot at least 4 points. For vertical asymptotes,…

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Q: (c) I 1²-7 dr

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Q: Use the comparison theorem with f(x) = = 1 √x r∞ 1 •√₂ √I-1 to show that is divergent.

A: Solution is given below:

Q: A rectangular page is to contain 89 square inches of print. The margins on each side are 1 inch.…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Find a power series representation for the function. f(x) = F(x) = 2 ( [ n = 0 X (1 + 3x)² R= ()…

A: Given data ÷ f(x)=x1+3x2 We need to find power series representation of f(x).   Using formula…

Q: 6. Find y" give y = 7³x a) 21³x In(7) b) 63³x In(3) c) 3(7³x)ln(3) d) 9(7³x)(ln7)

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Q: - Save & Exit Certify Lesson: 1.6b Operations with Functions Question 1 of 10, Step 1 of 1 If f(x) =…

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Q: nd the solution of the given initial value problem: ) = || y(4) + 2y"" + y″ + 8y′ − 12y = 12 sin(t)…

A: The solution is given below

Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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Q: If f(x)=√x + 10 and g(x) = 6 f(x) find g(x) F

A: To find out fxgx

Q: Evaluate the integral: -2 y√2y-y²dy

A: A detailed solution is given below

Q: K If f(x) = x² + 7x and g(x) Answer = 51 find g(f(n)). g(f(n)) IL

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Q: Prove that if A is an invertible matrix and B is row equiva- to A, then B is also invertible. ation

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Q: Solve: f b. Od In(Ink) dk 2k (Ink) In[In (Ink) - 1] Ink [In (Ink)-1] In(Ink)-1 k In (Ink) - 1

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Q: Find the general solution of the differential equation. y (4) + 2y"+y 3+ cos(4t). NOTE: Use C₁, C2,…

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Q: The circle given by the equation x²+y²+ax+by+c=0 passes through the points (2.0), (-1,7) and (5,-1).…

A: Put given points into given equation

Q: Find the area of the surface generated when the indicated arc is revolved about the y -axis. 6. y =…

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Q: f(g(x)).

A: f(g(x)) = 25/x2  provided the answer in step2 with solution

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. -2t y"…

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Q: If f(x)=√10- x and g(x) 3x² 10 - 3 x²√10 x - O 3√10-x x² X Ox²√10-2 3 O None of these. 3 g(x) find…

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