Find the constants a and b such that the function is continuous on the entire real line. 7₁ ax+b, x≤-2 -25 -7, a = b = =

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Q: Find the domain of the vector-valued function given below. r(t) = √√16-t²i+ 1 t+6 j+(t−4)k

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A: Area bounded by the polar curve Area=12∫ab r2 dθ

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Q: Find div F and curl F if F(x, y, z) = xz¹i+ 4ya²j+6z²yk. div F= curl F=

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Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

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Q: Ju ox Əv oy 으 0x1 10/24 0 어 xiye Ug xzty? zi @u + v = oxy UXO u ox + Ju ag - = U - (x+y? +c)2c +…

A: Differentiate partially with respect to x and y

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Q: Use the Laplace transform to solve the given initial-value problem. y"" + 2y" y' - 2y = sin(4t),…

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Q: If u = x-y and v=x+y, then find the Jacobian matrix. о о о 312112342

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Q: The partial sum-3+ (-12)+(-48) ++(-49152) equals > Next Question

A: Topic = Series

Q: 3x + 7 Consider the function f(x) = 4x + 1 and (A, ∞o) where the function is not defined at A. Find…

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Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=x. The…

A: Our Aim is to find the approximation for 27.13 using linear approximationgiven that f(x)=x3.

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Q: Find the area of the shaded region. r = sin(20) r = 4+3 cos (8)

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Q: valuate the integral 1₁ To xy”ddy. o 25 4 105 4 ) 15 4 D 135 4

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Q: Answer true or false. The function f(t) = (et)10 is not of exponential order. True O False

A: Let's solve.

Q: 8 1 3√x 1² O 0.5 O 6.5 O 4.5 O 0.5 dx

A: Given a definite integral ∫181x3dx We have to choose one of the given option solving the given…

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Q: If y = f(x), f'(x), (f(x+h)-f(x)) and slope of the tangent to the curve of f(x), h lim h→0 they all…

A: if y = f(x) Then,  By first principle of derivative

Q: 20 29t2 +42t represents the position function for a particle moving The function s(t) = along a line…

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A: Given :fx=7x10excotx

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Q: A triangle ABC has sides that is equal to 11m, 13m, 15m. find the length of median of the 11m-side.…

A: formula: ma = (1/2)2c2 + 2b2 - a2

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Q: Evaluate O 10 • 4 5 9 2z plny Մ » 0 -T ye dædy dz.

A: To evaluate the integral.

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Q: [xcsc (y/x) - y]dx + xdy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: The given differential equation is; [xcsc (y/x) - y]dx + xdy = 0

Q: Evaluate 02 3√2 0 1 3√2 0 1 |- √2 1|2 sino 4cos0 LLL rdzdrd0.

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Q: If y = f(x) + g(x), then y' = f'(x) g(x) + g'(x)f(x) True False

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

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Q: The minute hand of a clock is 9 inches long and moves from 12 to 1 o'clock. How far does the tip of…

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