A. Direction: In the given figure, draw tangent lines in each points A,B and C. y ==(x+4)3 + 4

Q: Use the formula for the binomial series: m(m–1)---(m-k+1),★ + k! m(m-1) 2! m(m-1)--(m-k+1) „k if k=1...

A: expansion through maclaurin series .

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y...

A: Slope = dy/dx

Q: Let d be the distance from a point on the plane x - 2y + 3z = 9 to the point (0, 2, 1). For f(x, y) ...

A:

Q: S S cos (y³) dæ dy 0 < x < y? and 0<y<1 4 decimals

A: The double integration of cos(y3); 0&lt;=x&lt;=y2; 0&lt;=y&lt;=1.

Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.

Q: The height of a cone is decreasing at a constant rate of 3 centimeters per minute. The volume remain...

A: V=13πr2hSubstitute V=52 and r=6 into the above equation52=13π(6)2h h=52×336πh=133π cm

Q: The "vertex" of the graph of a quadratic function is the point that corresponds to the minimum (or m...

A: a) f(x)=11x-63x-8b) gx=x2-92c) hx=3x2+12x+5

Q: Given the function f(x) = (x+3)²(x-1). Find the critical points of f(x) and its increasing and decre...

A: f(x)=x+32x-1f'x=x+32ddxx-1+x-1ddxx+32       =x+32+2x-1x+3       =x+3x+3+2x-1      =x+33x+1to find cr...

Q: Use the following function to answer the problems below. S(+) = f(r) = (x + 2)² (a) Find the vertica...

A: The point at which the graph of the function changes its direction that is from concave upward to co...

Q: solve 33,37&41

A: In this question we have to sketch the following curves.

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. S4) = 3x+6...

A: We have to use th remainder theorem to determine if the given number c is a zero of the polynomial  ...

Q: Given: В 2, 30° V3 A ZA = O 50° 40° 60°

A: We have to find out the angle

Q: Sketch the graph, indicate the focus, directrix, vertex, and axis of symmet Y^2 - 12x + 8y = -40 %3D

A: Topic:- geometry

Q: 3. Evaluate ". a, Inutc b. In u C. Inx+c

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) t° Vt9 - 23 dt

A:

Q: 6) What are the real and imaginary parts of (1+i)exp(-it/4)/v/2? 7) What are the real and imaginary ...

A: First we simplyfy then find real and imaginary parts. 

Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is ...

A: A function is undefined when the denominator is equal to zero  Here denominator of h(x) is -x³+11x N...

Q: c. Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's p...

A:

Q: wis Two Sides ofatkiangle have lengths a=4 m b=3 Cm but are inckeasing at the rate of 1 /se If the a...

A: A=12absinθDifferentiate w.r.t t0=12dadtbsinθ+adbdtsinθ+abcosθdθdtSubstitute dadt=1,dbdt=1, a=4, b=3 ...

Q: An+1 to determine if the sequence an is strictly increasing or strictly decreasing. Usethe ratio 6n ...

A: This is a series problem

Q: Find the derivative of y = arctan² (x³)

A: This is a problem of differentiation of the function. Based on general formula we will solve this pr...

Q: A polynomial f(x) and one or more of its zeros are given. f) =4x-43x²+134x-78 2. 5-i is a zero Part:...

A:

Q: Invesigte (-1)*+1 - for convergence or divergence. n=1

A:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A:

Q: Given cost function C(q) = q° - 130q + 2600q, what quantity minimizes average cost? A It would be L ...

A: Given that cq=q3-130q2+2600qTo minimize Average cost dcqdq=0

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Zk=1 (-1) k +1...

A:

Q: we. ON 11. =? - ду (a) 3y – 3ry? (b) у — Злу? (c) 3y+3ry? (d) y+3ry?

A:

Q: 3. t dx

A:

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series 00 Σ n = 0 8...

A: This is a problem of series calculation. By using direct comparison test we will define the nature o...

Q: Which of the following best represents the particular solution of the differential equation: y" – 6y...

A: The given differential equation is y''-6y'+9y = 6x2+2-12e3x ⇒ D2-6D+9 y = 6x2+2-12e3x ⇒ D2-2·D·3+32 ...

Q: The definition of a strictly decreasing function f is: A function f is said to be strictly decreasin...

A: A strictly decreasing function can have only one horizontal intercept. This is because when x1 and x...

Q: The demand functions for two products are given below. p1, p2, q1, and q2 are the prices (in dollars...

A:

Q: 1. Determine the order and degree of the differential equation d*y -2.x² 2 4 ´d²y + 4x dx2 -1 = 0. (...

A: Order of differential equation is the highest derivative in differential equation. Degree of differe...

Q: Find the length of the curve for the following parametric equations for 13 <t < 15. Find its exact l...

A: The parametric equations,xt=31+30t2yt=34+20t3from 13≤t≤15

Q: Decompose the function y = (2-2x*)³ in the form y = f(u) and u = g(x). (Use g(x) = 2 – 2r*.) Provide...

A: In this question we have to find the value of x and y.

Q: 21. The complementary solution, Ye, of the equation y" + 2y" + y = 10 is (a) ye = Cie-* + Cze- + C3 ...

A: The given equation is; y"'+2y"+y'=10.

Q: 21. The complementary solution, y., of the equation y" + 2y" + y = 10 is %3D (a) y. = Ce- + cze- + C...

A:

Q: Let M = y? + xy³ and N = 5y² – ry+ y³ sin y ƏM =? 9. dy (a) 2y+3ry? (b) 2у — Згу? (c) y²x+y³ (d) y²r...

A: Given:   To determine:

Q: c. Determine the average rate of change of the distance of the car from the stop sign with respect t...

A:

Q: dy

A:

Q: Determine the vertical asymptotes of the graph of the function. Give your answers as equations in ex...

A:

Q: Given revenue and cost functions R(q) = 70q - 0.3q and C(q) = 14q + 500, find the quantity that maxi...

A:

Q: 1. Suppose that ū, ī, and w are vectors in R³ such that ūxi= (2,7, 3) and ū xũ = (-5,4,0). Find: (a)...

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Q: Find the absolute maximum and minimum values of the function f(x) = xV4 – x² on the interval [-1,2].

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Q: Identify the vertex, focus, directerix and length of the latus rectum. y= 1/14x2

A:

Q: 3n an = 8n + 13 For the following answer blanks, decide whether the given sequence or series is conv...

A:

Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable f...

A:

Q: ALwnS1Fvvgk6KZ0gN2j83WNgOZp5p4CnlLGsL9a... 2 Determine if the graph can represent a polynomial funct...

A:

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

A: