Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O upward O downward (b) Find the coordinates of the vertex. vertex: D (c) Find the intercept(s). For both the x- and y-intercept(s), make sur to do the following. If there is more than one, separate the with commas. • If there are none, select "None". X-interceptis):|

Q: Finding the work done in lifting a leaking bag of cement. A bag of cement originally weighing 143 lb…

A:

Q: The equation in slope-intercept form for a line passing through the point (- 3, 2) that is parallel…

A: Topic = Coordinate geometry Correct option = A

Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: Problem 11. Solve the following system and express your solutions (if any) as individual ordered…

A: 3x2-2y2=-5     2x2+4y2=18

Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

A:

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, ) = 4x + 2y +z subject to z +…

A:

Q: (п+1 c) Σ-1 3η2 b) En=1(-1)" (41) Inn a) En=3 (in (Inn).

A:

Q: NOTE: Enter your answer in terms of i, j, and k. r(11):

A:

Q: a. 0 =-45 → graph type = b. r= 8-8cos0 graph type = facing up/down/left/right? loop length = c. r=…

A: (a) θ=-45°Graph type straight linesymmetry along first and third quadrant     (b) r=8-8cosθgraph…

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A:

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A: topic- angle between vector and x axis

Q: Calculus The sales in thousands of a new type of product are given by S(t)= 260-90e-0.2t, where t…

A: Topic:- application of derivatives

Q: Find the length of segment AB. Round your answer to the nearest tenth. A 51° 26° 20 mi B 15 mi 16 mi…

A: ANSWER: 16 mi SEE ATTACHMENTS

Q: =

A: We will find the derivative.

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A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

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A:

Q: Using (sin x) = cos x and (cos x) = – sin r dr dr Show that # (cot x) = - csc² x dr

A: We need to show that ddx(cot x) = -csc2 x Given ddx(sin x) = cos x and ddx(cos x) = -sin x

Q: | 5f(x)dr c f(r)dx if c =

A: Given :∫725f(x)dx=c∫27f(x)dx

Q: 71 dt Find F (x) and F (-2). 14. Consider F(x) .Co 1+t5 EGO

A:

Q: Let f(x) = Vx? + 9. Then f'(x) is f'(1) is f"(x) is and f'"(1) is

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: Find the area of the shaded region. x = -y 2 x = 2 - -2 A B 10 3 2.

A: Given query is to find the area of the shaded region.

Q: Jack B. Nimble has a reputation for jumping over candle sticks. Just for kicks, do a new jump with…

A: Topic:- application of derivatives

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A: The given function is  z = f(x,y) =x cos(xy)

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A:

Q: Solve  x * (dy/dx) – x6ex = 4y

A: on solving this we will get :-

Q: Find div F and curl F if F(x, y, z) = 14y°z4i – 3x°z+j – 3xy'k. %3D div F= curl F=

A: Given that,Fx,y,z=14y6z4i-3x3z4j-3xy3k

Q: dy 1- y}

A: Given query is to find the value of the integral.

Q: 15. Find x² (2x³ + 4)5 dx

A:

Q: 6. The rate of growth of a particular population is given by dp 50t? - 100t3/2, where P is the…

A: Given problem:- The rate of growth of a particular population is given by (dp)/(dt) = 50t2 - 100t3/2…

Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

A:

Q: Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x² – 3x + 8…

A: Here We have to use the definition of the derivative.

Q: y 4 (2, 4) y = 2x y = x2 2 Using a vertical element of area, the area of the shaded region is given…

A: Solve the following

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A: Consider the graph

Q: 15. Evaluate the following double integral. Si (xy* + x)dydx

A:

Q: Find curl (4z i + 5x j+ 3y k).

A:

Q: Given f(x, y) = 5z² + 42°y° – 2y“, find fr(x, y) = fy(z, y) = fer(1, y) = fry(x, y) = %3D

A:

Q: Find the length of the curve. 8) The spiral = e20, 0 s 0 s Ti r

A:

Q: Find the divergence of the vector field F. F(x, y) 4xe*i 6x²y?j

A:

Q: Consider the system of differential equation x' = 5x – 3y - y' = 9x + 9y Write the system in matrix…

A: To find the matrix A.

Q: 8. Given the following information, sketch a continuous graph of r(x) as accurately as you can on…

A:

Q: pind tue indefinete integral S In(s-1) ds

A: ∫ slns-1dsLet u=s-1=∫u+1lnudu=lnuu22+u-∫12u+2du=lnuu22+u-u24+uSubstitute back…

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series for f(x) centered at x=a :     f(x) = ∑n=0∞ fn(a)n!(x-a)n

Q: A. (, 글) %3 ( B. (- , -) =(

A: We will find the coordinates in polar form.

Q: Use the Ratio Test to determine the convergence or divergence of the series. If th use co or -co,…

A: Given query is to find the series converges or diverges.

Q: Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

A:

Q: If we apply Rolle's Theorem to the function f(x) = 2x? – 4x – 7 on the interval [ – 1, 3], how many…

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Q: 3 (a) | (7)dx (c) dx (sin x + 1)dx (b) L (x° + 2x + 1)dx (d) 0,

A:

Q: Evaluate the definite Integral by the limit definition. Step 1 To find the deinite Integral by the…

A:

Q: Find the area of the shaded region. ¡y = x² + 1 ... 5 y = x 2 A B D

A: Area of a bounded region by curves is given by ∬dydx.