Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct and click "FALSE" if the statement is incorrect. QUESTION: If a function is differentiable at a point, then it is continuous at that point.

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

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Q: 18. lim 19. lim 20. lim log, x

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Q: A particle moves along a straight line and its position at time t is given by s(t) = 2t – 21t + 36t ...

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Q: Given the position s(t) = 8t² – 7t + 12 of a - body moving in a line, with s in meters and t in sec....

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Q: Eliminate the arbitrary constants y = x2 + ax + be-*

A: We have to eliminate the arbitrary constants y = x2 + ax + be-x

Q: Consider the initial value problem and find the solution for y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)...

A: Solution: y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)=-1.

Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at a...

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Q: Determine whether the integral converges or diverges. Evaluate the integral if it con- verges. d.x x...

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x-1 x1 a. Find lim f(x) or state...

A: Function and table values are given, we have to find the limits at given points.

Q: = Homework: HW11--3.2 a. Find the derivative function f' for the function f. b. Find an equation of ...

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the f...

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Q: Integrate both sides = S sec²y dy = S dx

A: ∫sec2y dy=∫dx

Q: TC nts) Find the equation of the tangent line to the curve y= sin (3x) at r=-. Show all steps clearl...

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Q: Evaluate the value of the function at the given value of x. Show work. 15. y = (4x2 – 1)³ at x = 1 1...

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Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture t...

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Q: Answer the question below: Let h(x, y, z) = ze*y + x² cos(z) cot(y³). The student should find hyzx.

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Q: 3. What is the derivative of y = (f(g(f(g(x))))? Furthermore, if you are asked to evaluate the deriv...

A: The given function,     y=fgfgxg0=0, f0=1 and g1=f1=1

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: Given query is to find the solution using linear approximation.

Q: 4. Homogeneous Diffe rential Equation: (r+2ry-4y kdx-(x² -8.ry-4y kdy= 0 y Use the substitution y wx...

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Q: -6 9-

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) ((-- ) m;) - 3n lim x-37/2 l...

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Q: The height of a sand dune (in centimeters) is represented by f(t)=500−2t^2 cm, where tt is measured ...

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Q: Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3...

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Q: e - a) + ? = α a²

A: See the details solution in below

Q: Find the interval of convergence of Σ (-4)" (x+10)" n! (Use symbolic notation and fractions where ne...

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Q: 1. x + 6 dx 2 (x + 1)(3x – 2) dx - 3 4 - 3x2 + 5

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Q: dx 9. Evaluate f VI (1+x) dx Evaluate J J-x sin-1 x 10.

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Q: Given the graph of the function f(x) below, determine where the function is discontinuous. (-2, 2), ...

A: The objective is to determine where the function is discontinuous .

Q: 3 - 5x - 2.r, if a >1 4 lim f(x) if f(r) = -3 4.r, if r <1 r³ – 1 †;

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Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information. 

Q: 1. Elimination of Arbitrary Constant: y = Ar+ Bx+C, A and B are constant, C is a parameter 2. Famili...

A: Since you have posted multiple questions. As per guidelines we will solve only first question  If yo...

Q: Find the interval of convergence of (-1)"(x – 4)" Σ Vn2 + 10 n=0 (Use symbolic notation and fraction...

A: Here,          an=limn→∞-1n+1x-4n+1n+12+10-1nx-4nn2+10   =limn→∞ -x-4n2+10n2+2n+11   =limn→∞ x-4n2+1...

Q: Given that tan(0) - and 0 is in Quadrant II, what is cos(0)? Write your answer in exact form. Do not...

A: tan(θ)=-724 and θ is in quadrant II

Q: 5 Use Simpson's rule with n = 4 to approximate In(5) 1 dr. %3D %3D 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0...

A: We will find the required value by simpson 1/3 rule for n=4.

Q: find all of the critical points and local maximums and minimums of each function. (b) f(x) = Vx – 2,

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Q: (D3 + 6D? + 12D + 8) y = 0 when y (0) = 1, y (0) = -2 and y" (0) = 2

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Q: 4л — 6, 2 <г -

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Q: 15. The Voltage, v, of a simple electrical circuit slowly decreases as the battery wears out The res...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the volume, using the disk method, of the solid generated when the region bounded by f (x) = (x...

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Q: Find a vector that is orthogonal to both v = (1, –2,3) and w = (2, 1, –1).

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Q: 3. y'-5y=x²e* – xe*

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Q: A javalina rancher wants to enclose a rectangular area and then divide it into five pens with fencin...

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Q: Find the interval of convergence of E27" (x – 1)3n+2 n=0 (Use symbolic notation and fractions where ...

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Q: Without a table of values and without graphing f(x), give the values of the following limits. lim 3x...

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Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 5x³ + 3x² + 9x %3D f'(x) =D f"(x) =

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Q: 6) Evaluate each integral. 5x-3 x²-7x+10 | u Sun 7x-x² +11x-3 (x² +1)(x² +3)

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Q: dx 2. Evaluate f 7+x2

A: To evaluate: 2) I=∫dx7+x2...(1)  

Q: lim (32x-3 +5) 5) ,2r- x→4

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Q: equation

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Q: 5. Find by implicit differentiation for x + y = xy. dx

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