Find the area of the region enclosed by the curves y = 7sin x and y=sin (7x), 0≤x≤t.

Q: Question 1 a) [ the vectors U₁ = U₂ = Find the value(s) of y such that and are parallel. b) [ ]…

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Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: A) Find the value(s) of m so that the function y = ex is a solution of y" - 7y' +12y = 0. B) Find…

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Q: Ted's Machine Shop purchased a computer to use in tuning engines. To finance the purchase, the…

A: topic - compound interest

Q: Graph the function. y = 3 Plot five points on the graph of the function: one point with x = 0, two…

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Q: X-3 (x-2)(x+4) dx

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Q: Evaluate FR 1.³ 0 sin(2x + 3)dx None of them 0.9989 0.9899 = -0.9899 1.21 -0.9998 -0.9989

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

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

Q: True or False: We have Select one: O True O False 8 [√x dx √xdx = 12.

A: We have to find the given value of integration is true or false.

Q: Find all relative extrema of the function f(x) = x² - 4x² + 2 by using the Second Derivative Test…

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Q: 2 8. For the telescoping series find a formula for the nth term of the sequence of (2k-1)(2k + 1)'…

A: The telescoping series ∑k=1∞22k-12k+1

Q: can you please write it clearly for better un

A: see below the answer and calculation

Q: For any two nonparallel vectors a and b, it holds that Select one: |3a + b > 3|a| + |b| 13a + b <…

A: Use vector triangle inequality

Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.

Q: Find all solutions of the equation in the interval [0, 2π). cos2θcosθ-sin2θsinθ = -1 write all…

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Q: Solve the given dif fential by variations of parameters 2.y" + 2y + y = e Int

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Q: Sketch the figures and show step by step solutions. Find the area between the curve y = x3 – 6x2 +…

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Q: The value of the definite integral 2 [²4x 4x³ dx

A: Given integral ∫12  4x3  dx we use the formula ∫ xn dx=xn+1n+1+C    ; n≠-1

Q: Two functions fand g are defined in the figure below. (a) Domain of f (b) 3 Range of f 4 6 7 9…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find all solutions of the equation in the interval [0, 2π). 2sin6θcos2θ - 2cos6θsin2θ = - √2 Write…

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Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution

Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

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Q: H.W: Solve the differential equation y'-(1+x)(1+y²)=0

A: Let's solve given diffrential equation.

Q: Evaluate the infinite series by identifying it as the value of a derivative of a geometric series.…

A: Solution

Q: Find the radius of convergence for Σ (sin²n)x". n=1

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Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: Evaluate the following integral. Sx12xdx x12*dx = (Type an exact answer. Use parentheses to clearly…

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Q: The two vectors a = (-1,2,-2) and b = (2, -4,-5), are not parallel but are orthogonal. Select one:…

A: Using algebraic operation

Q: Question [ a) Show all your work. Evaluate 3 L(x-1 (x − 1)√√x + 1dx

A: As per the rules we can answer only the first question and rest can be reposted.

Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x − y)dx = 0 2. x²dy + (y² −…

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Q: Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take derivative

Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

Q: 17/3 cos (t)h(sinct)) dx

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: Find the value پر 2 2x+3+| dx

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Q: (a)[1 Show that the following equation represents a sphere, and find its center and radius. x² + y²…

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Q: 14. Given are two concentric circles with the outer circle having a radius of 10 cm. If the area of…

A: Let's find border between two circles.

Q: Evaluate the following improper integral if it is convergent. S 13 -dx x In x Select the correct…

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Q: Question 2: A) Verify that y = c₁e-x + c₂e5x is a solution of the DE: y" - 4y - 5y = 0. B) Find a…

A: Topic = Differential equation

Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y -2 (a) lim f(x) =…

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Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: Find dr/dtheta for theta^(-7/9) + r^(-7/9) = -5

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Q: Find the value So X (x²+1)= dx

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Q: Problem 2. Solve these integrals using integration by parts 2x - 3 -da, er (a) [ 27 (b) logą (r)da,…

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Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: s -2.5, the elasticity of demand for business computers is -.90, and the elasticity of supply for…

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