Use the formula for the cosine of the difference of two angl- COS COS T T 4 6 T T - = 4 6 (Type an exact answer, using radicals as needed. Use inte

Q: 4. -π/4 1 9cos² x-sin²x dx

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Q: Find the equation of the tangent line 7 to the graph of f at the given point. Use this linear…

A: The solution is given below

Q: 1. Find the exact value for: a) sin (377) 2 b) cot (210⁰) c) sec (-765°)

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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: 12. Determine the radius and interval of convergence of 8 k=1 (-1)kk²(x-4) k 3k

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Q: We are trying to prove a certain limit. One of the steps in the proof is to show that for every &> 0…

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Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

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Q: f(x)=√x² - 6x. Use interval notation to indicate the domain of f(x). Note: When entering interval…

A: We have to find the domain of f(x) = x2-6x4.

Q: Q.7 Find the eigen vectors of the matrix: 1-(1 2) Your answer Q.8 Find the maximum and minimum…

A: As per the request of the student , (7) The matrix is given as , A=5412

Q: Find dw/dt using the appropriate Chain Rule. w = x² + y² x = 3t, y = 8t (No Response) dw dt

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Q: (a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the…

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Q: 6. Find the value of -1 √2-x² =[+1/²/² (x² + y²) dy dx + ***** ++ [ ₁²2= ² ( 2² + 1²³) dy dx √2-1²…

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Q: In which quadrant does the terminal point determined by t lie? Input I, II, III, or IV. (a) If…

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Q: A plane flies horizontally at an altitude of 6km and passes directly over a tracking teles cope on…

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Q: Determine the convergence or divergence of the series. 2 n(n+3) Step 1 Decompose to partial…

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Q: Find the following derivatives. Express your answer in terms of the independent variables  ws and…

A: To find out ws, wt

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

A: To find out fxgx

Q: Q1. Shreya went to a fair in her village. She wanted to enjoy rides on the giant wheel and play…

A: In the first part we will use the given conditions to make a linear equation representing the…

Q: Graph the function by using transformations of the graph of y= points on each side. 1 S(x) = (x -…

A: This question is based on graphing a function from its parent function.

Q: n = 10, approximate the integral S Give the error of approximation for each r cos rd.r

A: We need to approximate the integral.

Q: 17 The waiting time for a bus has probability density (1/10)e/¹0, with = 10 minutes. What is the…

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Q: The derivative of a function of f at x is given by provided the limit exists. f'(x) = lim h→0…

A: We can use the given definition to find the derivative as below.

Q: An offshore oil well is 2 kilometers off the coast. The refinery is 3 kilometers down the coast (see…

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Q: III. Solve each of the following: 3. (x - y - 2)dx + (3x + y − 10) dx = 0

A: Solution is given below:

Q: Find the area of the shaded region

A: Given :Function :y=1y=cos2x

Q: What is the equation of the tangent line at 3x+1 0₁ = 1² of f(x) = ² 0, 2 X-2

A: The equation of tangent is :

Q: In Exercises 35-40, find the partial derivative of the function with respect to each variable. 35.…

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Q: Evaluate the integral: J 3 хе x³ e³x dx

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Q: A window has perimeter 10 m and is in the shape of a rectangle with the top edge replaced by a…

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Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: 6. Find the value of 2-x² 2-2 I = [₁ ²2² (2² +1²) dy dx + [ ²7 ( 2² + y²) dy dz √2J-√√2-1² by…

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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: Use polar coordinates to evaluate the double integral. 1 1 + x² + y² where R is the sector in the…

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Q: Find the differential dy of the given function. y = x arcsin 3x dy = Submit Answer intel DETAILS…

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Q: Find all solutions of the equation in the interval [0, 2?). (Enter your answers as a comma-separated…

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Q: Evaluate the following integration.

A: Let Sinx=t

Q: If f (x) = x² - x and g(x)=√x-2, what is (fog)(x) ? Simplify your answer. x²-x-2 /x² - 2 2-x-2 O…

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Q: Given the graph of f (x) above, find the following limits. (a) (b) lim f(x) = x418 -6 lim f(x) = -4…

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Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.)…

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Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: 3. Find the equation of the plane containing both the point (1, 2, 3) and the line r(t) = (t, 2t+1,…

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Q: Find the general solution of the differential equation. y (4) + 2y"+y=7+ cos(5t). NOTE: Use C₁, C2,…

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Q: what is the integration of x^2/(9-x^2)^3/2 using trigonometric substitution

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Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: Use the Quadratic Formula to find all solutions of the equation in the interval [0, 2?). (Enter your…

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Q: The profit P for a company is P = 100xe-x/650,where x is sales. Approximate, using differentials,…

A: The given problem is solved below in detail.

Q: The function s(t) = t³ - 12t² + 45t represents the position of a particle (in meters), at time t (in…

A: We have to find points of position where object is at the rest position.

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

A: The solution is given below