23 dt de L²₁ (326 -t) dr

Q: (7 points) Consider the region bounded by the curves x = y²-3 and x = y +1 shown below. Set up an…

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A: The given graph is

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A: given two sides is   7 and 9 given  angle incresing rate is  0.09 radians per seconds when angle is…

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Q: The rate of growth of a fish population was modeled by the equation 60,000e-0.6t G(t)=- (1+5e-0.6¹)²…

A: According to question,Given equation,Gt = 60,000 e-0.6t1+5e-0.6t2

Q: (2x + 7) (z² + 7x + 7)*¹dx by making the substitution u = x² + 7x + 7. + C NOTE: Your answer should…

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Q: To test the series n=1 also a geometric series, so we could also investigate convergence using other…

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Q: Given the definitions of f(x) and g(x) below, find the value of (ƒ o g)(−1). f(x) = -x - 12 a(r) &…

A: The function is given as f(x) = -x -12 g(x) = x2-5x-5

Q: Evaluate the indefinite integral. f5e5⁰ sin(e5¹) dv = [

A: According to question,Given Integral,∫5e5v sin e5v dv

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Q: 5. Find the derivative of: A) y = 2* B) y = 4 x² +3

A: Solution ⇒    5(A) y=2x    We have formula of derivative that is,…

Q: (ii). Eliminate the arbitrary constant in the equation y = Ae2x + Bxe ²x Ans. y" - 4y' + 4y = 0

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Q: Question 8 Find 3 - 4 (6x5 + 2x²) dx <

A: Solution ⇒    8)  ∫−43(6x5+2x4)dx    We know  ∫(xn)dx=xn+1n+1    so first we will…

Q: Two sides of an oblique triangle are measured to be 6 and 4. If the angle between the two sides…

A: Ans= 0.0357  For detail...go through the solution...I have solved in detail

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A: Given: y'-3costy2-3t2y2=0     ; y0=1

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A: Product  rule of differentiation:

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Q: 2. The function f(x) is defined by the table shown below: Fill in the blanks: (a) f( I f(x) _)=0 -3…

A: The function fx is defined by the table shown below x -3 -2 -1 0 1 2 fx 0 1 2 3 4 5 To…

Q: 1 + i −1+i -2 -2 4 + 3% -4 + 2i (a) Find AT, the transpose of the matrix A. Consider the matrix A -…

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Q: The cuberoot of a number can be approximated by the recursive formula А 1 ==2sn-1 3 A₁J²) Sn 25₁-1 +…

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Q: 3. Find the equation of the tangent line and the normal line of parametric equa- tions for a curve x…

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Q: (xi + 4y + 2zk) 2) Find div (xi

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Q: f(x, y) = 4x² + 5y², P = (-9,2), u = 4i+5j (Duf)p m m

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Q: Consider the initial value problem for function y given by, y" — y' - 6 y = 0, y(0) = -4, ▾ Part 1:…

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Q: A: Solve d²y dx² + y = sinx a-

A: Let's solve given differential equation.

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Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line y=11x…

A: We have to find all points x, y on the graph of fx=2x2-5x with tangent lines parallel to the line…

Q: 1. 2 a) Rewrite the summation without using sigma notation. [+(2+4)*-32] b) Find the following:…

A: Please see the below pictures for detailed solution.

Q: 6 6 Suppose f(x) dx = 9 and f g(x) dx = −8. eff (2) d +¡¸g(= -5 -5 6 Evaluate (-2 f(x) + 2 g(x)) dr.…

A: Given:- ∫-56fxdx=9  and ∫-56gxdx=-8

Q: December 10, 2022 at 1:45 PM A formula for the relationship between weight and blood pressure in…

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Q: Express the repeating decimal as a fraction in lowest terms. 64 64 64 100 10,000 1,000,000 0.64 =…

A: use algebraic operations for finding the value.

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: 2. Eliminate the parameter in the following parametric equations: x = cos 2t, y = sin t Hint: Use…

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Q: Solve the exponential equation and simplify. Give an exact answer. No decimals. 32x-1 + 2 = 14

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Q: Find the slope of the parametric curve x = -3t² +8, y = 6t3, for-co<t<∞o, at the point corresponding…

A: slope is  =dydxand we know that  dydx=dydtdxdtdtndt=ntn-1,   and   dconstantdt=0

Q: Part I of the Fundamental Theorem of Calculus to find the derivative of the function y = √5√x er y'…

A: Given query is to find the derivative.

Q: 13. Find the line pass through two points (1, 2, 3) and (1,0, -1). You should list three different…

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Q: M: Solve b- - 2 ²2-d+ 2y = 3e*

A: We use techniques of higher order linear differential equations to solve the given differential…

Q: For what value of k will the function f(x)=x- k have a relative maximum at x = -8?

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