Tell if the function is continuous at given interval f(x)=; 2x +4 |-2,2]

Q: Ek=1 (k+3)(k+4)

A: The objective is to solve the above series. 

Q: 6. CosX cot?x-cosx -0 cosA (cod 3x -)= coskcotX +D Crotă-) =0 cotx+l=0 cot x= -| tan=l-1 cotx-1=o co...

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Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C , A and B are constant, C is a parameter

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Q: If F(x) x2 - 1 find the following. (a) (b) F(20) (c) F(0.002) (d) Is F(0) defined? Yes ONo

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Q: 5. Exact Differe ntial Equation: x(3xy-4y' +6dx+(x' -6x'y' -1dy = 0

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Q: Note: If the f(a) and lim f(x) does not exist write DNE. 1. lim f(x) = a-2 2. f(-5) = 3. lim f(x) = ...

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Q: )-刈+3X-4-3 xy -2X+4y -8 %3D 8.

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Q: 9. Some weird shapes: For the following functions, use desmos to plot them dy for each of dx and com...

A: In 2nd and 3rd step I uploaded graph of (a) and (b) respectively. In 4th step I calculated the deriv...

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: For the cost function C(x)=40+x-1/2x^2 find the marginal average cost when x=2

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Q: You deposit $1200 in an account with 4% annual compound interest. Complete the following, assuming y...

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Q: e. Use your model to find P(8) and interpret this value in context. Show all work algebraically. Wri...

A: e.)  P(t) = 2(t) + 10 (for showing whole questions are required or you may see the solution from a t...

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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

A:

Q: Find the inverse of the given function. log,(r) f'(x) =

A: Given log3x=yWe know that logba=n and this can be written as a=bn

Q: Consider the polar equation r- 3+8 sin(8), whose graph is shown below. 10 8 2 -6 -4 4 6 Notice that ...

A: The given polar equation is  r=3+8sinθ. We have to find four angles θ where the tangents are vertica...

Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: 12. Let L = lim a>0. If L is finite, the (A) a=1 (B) a=2 (C)L- (D) L-

A: We are asked to find a value and L values.

Q: Describe which methods and how can be used to find an infinite limit. Please, provide a general stra...

A: Given that: To demonstrate the idea of infinite limitThat is, the idea of sequence of a real numbers...

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function do...

A: Given: There is a sharp point at x = 1. So, the function is not differentiable at x = 0.

Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r = cos...

A: Given, center=(12,12) radius=12

Q: A company that makes thing-a-ma-bobs has a start up cost of $49137. It costs the company $3.02 to ma...

A: the values are:-

Q: dx 3. Evaluate f x(1+In² x) sec? xdx 4. Evaluate f - V1-tan? x

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Q: A particle moves along the curve y= /1+x³. As it reaches the point (2, 3), the x-coordinate is decre...

A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3 an...

Q: owing is equivalent to sin (-0)cos Ocsc (-0)sec (-0) for all values of 0 for which c(-0)sec (-0) is ...

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Q: gie When the altitude is 10 cm and the area is 100 cm², the base of the triangle measures |cm and is...

A:

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: 3. Separation of Variables: x(y+1)dx+ dy = 0

A:

Q: lim ex+7 x-

A: As per the instruction, we will be answering only the first one. For (15),     limx→ -∞ e4x+7=e4(-∞)...

Q: If C+ L3 = e9C, compute dC/dL when C = 0. C'(0) =

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Q: Approximate dx using the midpoint rule with four subdivisions to four decimal places. J2 In(x) The a...

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Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(g) = - 3q + 2500q, what is the ma...

A: The cost function, C(q)=q3-11q2+51q+5000revenue function, R(q)=-3q2+2500q

Q: David opens a bank account with an initial balance of 500 dollars. Let b(t) be the balance in the ac...

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Q: Find the derivative of the function. F(e) = et sin(2t) F'(t) =

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Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx + xdy...

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Q: Shen can choose Plan A or Plan B for his long distance charges. For each plan, cost (in dollars) dep...

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Q: point 4 m above ground level with an initial velocity of 21.5 m/s is h = 4 + 21.5t – 4.9t2 after t s...

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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: oWE NING METHOD OF VNDETERMINED COE FFI CIENTS (o -4D+3) x = 2 cost + 4 vint

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Q: r(4)=DTsin(i+ 34 j+ t°K 2. POINT: (1,2,1)

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Q: 4x 3+3x²+1 What is the general solution to the differential equation dx 3y2 y = V x4 +x 3 +x +C B y ...

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Q: Find the derivative of the function. z - 8 z + 8 F(z) F'(z)

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Q: Suppose the function g statisfies - 32x – 2x2 - 120 < g(x) < r² + 16x + 72. We want to use the Squee...

A: Let f(x)=-32x-2x2-120 h(x)=x2+16x+72 And f(x)≤g(x)≤h(x) We to evaluate g(x) using f(x) and h(x)

Q: 8. A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co...

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Q: 40 -2 3 --10 Given the function f(x) shown above, f(x) > 0 over which intervals? Ox 2 -3 2 Ox 1

A: Given:-

Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(g) = - 39 + 2500q, what is the ma...

A: Given query is to find the marginal profit at production level of 50.

Q: Find an equation of the normal line to the curve at the given point. Express the answer in slope-int...

A:

Q: Your elderly neighbor places a bag of corn kernels on your doorstep each morning. The first day, the...

A: Given, number of a kernel of coin on                                  the first day = 11            ...

Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the i...

A:

Q: P(x) = 20x – 0.5x? – 240. (A) Find the exact profit from the sale of the 26th machine. Exact Profit ...

A: topic - functions and derivatives