Find equutiuns Ofthe followicy t. 9 tangent Aane b) The nomauf line

Q: Identify the equation associated with each graphed surface. (a) O z? – 1 = y? + 2? O 22 + y² = z O…

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Q: Find the derivative using the First Fundamental Theorem of Calculus. 13)음 V8t +7 dt dx

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Q: r = 4 cos 30

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Q: A box with a square base and open top must have a volume of 13,500 cm. Find the dimensions of the…

A: Given query is to find the sides of the box

Q: Maximize and minimize f(x, y, z) 3x + y + 2z subject to 2x + 3y2 + 4z² 210 %3D

A: We have to use lagrange multipliers.

Q: If the function /6- 830 is continuous at x=0, then a- 1+2acosx D a 1 6 -1

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Q: Use the integral test to determine whet 2n n2 + 4 n=1 O converges O diverges

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Q: ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A: Given query is to find the average velocity.

Q: r = 4 – 3 sin 0

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Q: 4- 2- 2 3. To find the blue shaded area above, we would calculate: f(z)dz = area Where:

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Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

A: Use trigonometric identity

Q: dy dx Assume x and y are functions of t. Evaluate for 4xy -3x + 5y° = - 210, with the conditions dt…

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Q: 21) Find tre fourth degree Taylor poly nomial Centned at C=4 for the function. m 7 (x)=In(x) Angues…

A: Pn(x) = f(c) +f'(c)x/1! +f"(c)x2/2! +.....+fn(c)xn/n! here we have to make upto 4 degree f'(x) = 1/x…

Q: (x³ +2x)" Find dy/dx, given the following: y = V2x-4 (2³ +2x)“ V(2r–4) 17 -36a²+10x-24 %3D (2x–4)²…

A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

Q: 7-x 17) dx

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Q: The value of the double integral // (2x²y + 9y') d A, D where D is the region bounded by x and y = 2…

A: Given problem:-

Q: a) How many 3-digit positive integers are there with odd digits?

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Q: Write the first five terms of a geometric sequence a} based on the given information about the…

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: Find the angle (in degrees) between the planes 4y + z = 4 and – 4x + 2z= - 3.

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Q: Calculate r' (t) and T(t) and evaluate T(1). r(t) = (6+ 71,1,5 – 1²) (Give your answers using…

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Q: Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal…

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Q: A tank contains 200 gal of fresh water. A solution containing 5 Ib/gal of soluble lawn fertilizer…

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Q: 3T/4 18) 3 sec 0 tan 0 de

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Q: Solve the system of linear equations and check any solution algebraically. 5x - 3y + 2z = 3 2x + 4y…

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Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000

Q: Exercise To Try 7 Let f(x) = V. Estimate the area A under the graph y = Va between a = 1 and b= 4…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

Q: MyCalStateLA x Activity 10.6 x O Exploring Dir x+ Ohttps://calstatela.instruct... Let f(x, y, z) at…

A: Given query is to find direction derivative.

Q: Finding a Limit In Exercises 81-88, find the limit, if it exists. 4x2 84. lim

A: I am attaching image so that you understand each and every step.

Q: Find the area of the parallelogram that has u = i – 2j+k and v = 3j +k as adjacent sides. NOTE:…

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Q: Let a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

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Q: 1. Budgeting for least cost. A manufacturing company pro- duces two models of an HDTV per week, xr…

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Q: 2. A small business owner creates and sells x bars of handmade soap per month. The monthly profit…

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Q: 3 Assume that sin (x) = and sin (y) = -, where < y < 2x. Calculate the indicated function value. <x…

A: We can find sin(x-y) as below.

Q: Find the length of the curve 1 13x52 16 2x2

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Q: Using the Principle of Inclusion-Exclusion, determine the number of binary strings of length…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and - 10x – 5y – 5z – 11 = 0. - NOTE:…

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Q: 25x at P(5,0) in the x + y Find the directional derivative of f(x, y) direction of Q(2, –2). NOTE:…

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Q: 10

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Q: Finding a Limit In Exercises 41–48, find the limit (if it exists). If it does not exist, explain…

A: Given problem:-

Q: 3. [For students with ID # ending in 4 or 5.] Through the point (4, 2, -5) and perpendicular to the…

A: Here, the given equation of the plane is 3x+y-6z=8 So, the coefficients of x,y and z will give us…

Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: Let a = (– 3, – 1, 2) and b = (- 4, – 3, 2). Find the projection of b onto a. proj, b =

A: Use the projection formula for the given vector .

Q: rational functions solve suppose it costs C dollars ( in billions) to build X miles of a wall…

A: A)C(x)=0.425 x1954-xwhere, x is the miles of the wall.cost to build 1000 miles of…

Q: /| J. Let J = xy dA where D is 2 %3D D the region bounded by the x-axis, .3 y = x' and x = 2

A: Intersection points:y=x3, x=2, y=00=x3(0, 0)y=23 =8(2, 8)

Q: 9-1 -dy

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (– 8,…

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Q: Find the derivative of the function. f(u) = u7e−u

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Q: 2x 2x Find the absolute maximum and absolute minimum of the function f(x) = - 1 over the interval…

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