QUESTION 2 Write an inequality of the form |x-a k so that the inequality has the given solution set. (-5,5) Ox<5 Olx|>5 Olx-51>0 Ox+51>0

Q: J Suppose you are given an integral of the shape: cosxsinmxdx, and you know that n is odd.

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Q: I need help with this problem: The problem is described in the image below. Its topic is from a…

A: a]Moving right in the interval (0,1), (4,6)b]Moving left in the interval (2,3)c]Standing still in…

Q: dy Solve the separable differential equation dz and find the particular solution satisfying the…

A: The given differential equation is: dydx=0.9y  Solve the given differential equation.

Q: The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate [²0 f(x) dx,…

A: We need to find the value of left, right, trapezoid and midpoint rule value

Q: (a) Find the slope m of the tangent to the curve y = 4 + 5x² - 2x³ at the point where x = a. m = (b)…

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Q: 2) lim x → 0 cosx−1 sin x

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Q: Evaluate the limit (if it exists). Use L'Hospital's rule (if appropriate). 3 Inx lim X→0 X 3 Inx - 1…

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Q: Find the directional derivative of f(x, y) = x²y³ + 2x¹y at the point (-4, -4) in the direction The…

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Q: K Use the product rule to find the derivative of the following. -1 p(y) = (y¹+y 2) (4y 3-6y 4) p'(y)…

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Q: intergrate the following and explain the complete solution.

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Q: Consider the piecewise defined function Find the values of a and b that make the following function…

A: Please see the below picture for detailed solution.

Q: Find the derivative of the given function. y = 9sin (3x4 - 7) dy dx 11

A: The given function is;  y=9sin(3x4-7).

Q: Graph the level curves for z = 2x - 3y for z = 0, 1,2 on the same ry plane, and label them.

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Q: Given Solution: 5 dy/dx + 2y = 83 Questions: What is the largest integral? Are there transient…

A: The given differential equation is: 5dydx+2y=83

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A: As per the instruction, we will be answering the first question. Given: For (a),

Q: Q3 8²% If z = xe", where x = r² + s² + t² and y = 2rst, find atas

A: Partial derivatives

Q: Compute the path integral of f(x, y) = y² over the graph y = ex, 0 ≤ x ≤ 1.

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Q: f(x) = 8x2x3, find f'(2) and use it to find an equation of the tangent line to the curve y = 8x2x3…

A: Let's find equation of tangent line.

Q: Let lim g(x) = -10 and lim h(x) = 6 x →4 x→4 Determine the value of the limit lim [9+√√xh(x) x→4…

A: Given:

Q: List the first five terms of the sequence. 2₁ = 6, an+1 = 2a + 3

A: Explanation of the answer is as follows

Q: Find the reference angle for the given angle. 101° 0000 21° 89° 79⁰ 11° QUESTION 9 Find the…

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Q: Find the limit. (If an answer does not exist, enter DNE.) X+1 Ilm X-2+ X+2

A: To find the limit. limx→-2+ x+1x+2

Q: Evaluate the integral. 2 √(x - 5)²(x - 6)² (Use symbolic notation and fractions where needed. Use C…

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

Q: Suppose you are given an integral of the shape: cosxsinxdx, and you know that n is odd.

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Q: A ball is shot into the air from a bridge, and its height, yy, in feet, above the ground tt seconds…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: The series is given as ∑n=4∞37n+4.

Q: 5. Using limits, find an equation of the line tangent to the function f(x) = 5x - 3x² at 2x+ x = 2.…

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Q: Consider the Initial Value Problem: " + 5y-6y=0, y(0)=2, (0)=-1, Which one of the following is the…

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Q: Consider the parabola y = 5x - x². (a) Find the slope of the tangent line to the parabola at the…

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Q: Let lim g(x) = 8 and lim h(x) x →4 x→4 = 4 Determine the value of the limit X lim x→4 g(x) + h(x)

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Q: The point P(5, 37) lies on the curve y = x² + x + 7. If Q is the point (x, x² + x + 7), find the…

A: To find the slope of the secant line

Q: 3. The average rate if change of the function y=x²-x-1 from x = -1 to x = 4 is a. b. 2 c.2.2 d.11…

A: Given function is y=x2-x-1

Q: Evaluate the integral. (Use C for the constant (arcsin(x))² dx

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Q: Find the maximum and minimum values of f(x, y) = 7x + y on the ellipse x² + 16y² = 1 maximum value:…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Given query is to apply integral test.

Q: Find the critical point of the function f(x, y) = 5eª - 3xe¹. C= Use the Second Derivative Test to…

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Q: Oz ду If cos(xyz) = 1 + x²y2 + z², find and Ox Әх

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Q: First use the formula A-1 = A = Find A-1 76 98 ; b = ad-bc d -b -C a for the general 2 x 2 matrix A…

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Q: *cos(√x) dx Socos (√x) dx= -3 n=0 -05 x (-1)" (1-(0.5)"+1) (n+1) 2 05 0.5 1 1.5

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Q: Find the slope of the tangent line to the parametric curve -4√2 X X = = 4 cos(t) y = 2 sin(t) at the…

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Q: Consider the following relation. f(x) ====2²² -x f(-2) = 1 Step 3 of 3: Determine the implied domain…

A: we can solve this as follows:

Q: 6. Determine the limits obtained by approaching (0,0) along both the x and y What does this say…

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Q: Given the integral √64-x2dx Determine what substitution to use in order to solve this problem O Let…

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Q: In a local election, a group hired a public relations firm to promote its candidate in three ways:…

A: Let consider two matrices  M and N. The order of matrix M isM:-&gt;P x Q The order of matrix N…

Q: Suppose that f is a function such that limx→∞ [ƒ(x) — 2x²] = π. Determine, if possible, f(x) lim x→∞…

A: Given; limx-infinity [f(x)-2x2]=pi

Q: Find three positive real numbers whose sum is 75 and whose product is a maximum. Enter the three…

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Q: Let P be a point not on the plane that passes through the points Q, R and S. Show that the distance…

A: Use the concept of dot product to find the projection and the use the concept of vector triple…

Q: Find a formula for the nth partial sum of the series 7 - - + 6 series' sum if the series converges.…

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Q: Find the equation of the line normal to the curve of y = 3 cos 3x, where x = *. y = (Type an…

A: Given;  y=3cos(x/3),x=pi.

Q: Consider the vector function r(t) = (e³t — 6)i + (3t cos(t) + 4)j + (ln(4t + 1) +5)k. dr (a) Compute…

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