1 Ifh (r) = e*, then h' (r) =? 04 x O(z) = _ r2

Q: x2-8x-48 3) lim (2-22x+120. 5) =

A: Given Expression is as follows

Q: For every solution y(x) of the equation y''+ 2y'+ 5y = 0 it is true that limx→∞ y(x) = 0. ?

A: Consider the equation

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A: The given number .The aim is to write the number as a geometric series.

Q: y′′ − y′ = x The equation has a particular solution of the form y = Ax + B (for some constants A and…

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Q: Find f. f(x) = f"(x) = 8x³ + 5, f(1) = 6, f'(1) = 2

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Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. √20 maximum value…

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Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,

Q: 4. Consider the equation r = 3 4-8 cos 0 (a) Find the eccentricity. (b) Identify the conic. (c)…

A: Concept:Conic section:A curve obtained from cone's surface interacting in plane.

Q: Write the expression without absolute value symbols. (Simplify your answer completely.) |n² - 101…

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Q: Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the…

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Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the…

A: An employee's monthly productivity M, in number of units produced, is found to be  a function of…

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

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Q: 140 -x³ to answer the questions below. 3 3 747x4 tical numbers of f(x)? x = - l(s) is f(x)…

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√√y+3 (b) Evaluate the limit -8xy lim…

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Q: 4. COS V sin v = csc v sin v 5. cot(a) cos(-a) + sin(- α) - csc (α)

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Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) =…

A: Given:The position vector r(t) =

Q: The table below gives the velocity of a runner at half- second intervals during the first three…

A: Given the table below gives the velocity of a runner at half-second intervals during the first three…

Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

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Q: Let Compute dw (-5,-2)= -(-5,-2)= ow Ət w = xy + yz - 5xz, x = st, y = est, z = ²

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Q: 1. x dy dx – 4у = х6 ex 9x

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Q: For which value of t does the line given by the parametric equations x=t-1, y = 1+ 2t, z = 3-t pass…

A: x=t-1y=1+2tz=3-tPoint (-2,-1,4)

Q: Let f(x) = 2x³ + x²-x+3 on the interval [-1.5, 5]. Use calculus and algebra to justify all answers.…

A: The given polynomial function is  on the interval .

Q: 12. {yly = x² - 1, x = integers}

A: {y/y=x2−1,x∈integer}

Q: Let (a) (b) (√x + ²) dr + (y² + ln(2x)) dy=0, x>0. Check that this is an exact differential…

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Q: Find aw/as and aw/ât using the appropriate Chain Rule. Function Values w = y³ - 2x²y x = es, y = et…

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Q: For the functions f(x)=x^2-6x+10 and g(x)=5, determine the following information. Vertex of…

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: Find the inverse matrix where A = 1 -1 2 -3 -3 1 2 -3 -3

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Q: Write an equation for a line perpendicular to y y 4-4 and passing through the point (-8,7)

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Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

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Q: Consider the function f(x, y) = (4x-x²) (2y - y²). Find and classify all critical points of the…

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Q: Use spherical coordinates. Evaluate xex + y2 t2 + dV, where E is the portion of the unit ball x² +…

A: To find  E is the portion of the unit ball  that lies in the first octant

Q: Find the general solution for y-sy+2y=10 Sin x + 1

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: -4-3-2 VA 3 2 1-2 x = – 1 y = 1 3 4 5 x x = 2

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Q: 3 11 (1 + ³²) ² lim (1+

A: L=limx→∞(1+3x)x11

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: To find:-The given graph

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x²² In(x),…

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Q: Find the following using the table below. x g(x) 1 421 4 2 3 4 3 1 2 3 1 3 2 3 1 h' (2) if h(x) =…

A: The Product Rule:The Quotient Rule:

Q: To test this series for convergence ∞ n=1 n n6 + 7 You could use the Limit Comparison Test,…

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Q: (Order your answers so the x-coordinates are in order from least to greatest.) f has ---Select---…

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Q: - Consider the function ƒ(x) = x² − 4x + 2 on the interval [0, 4].

A: f(x)=x2−4x+2 on the interval [0,4]

Q: differentiate y(theta) = e^cot theta

A: given function

Q: (2x - y) + (2y - x)y' = 0, y(1) = 3

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Q: Solve the equation for x in terms of the other letters. (Enter your answers as a comma-separated…

A: Given data

Q: Step 3 Write the two binomial factors so that the first term of each factor is x and the second…

A: To write the complete factorization of

Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: An exponential function f with y=f(x) has a 1-unit growth factor for y of 4. What is the function's…

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Q: List the first five terms of the sequence. an 1 + an a1 a2 аз a4 a5 || = = = a₁ = 6₁ an+1 =

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Q: Differentiate the following: a) y=-x²+x-5 (b) y = 10 + 2 3 (c) y = 2√x - X

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…