dx Determine x = f(t) for (t² +8t) - x = f(t) = dt = 8x+8, t>0; f(1) = 3.

Q: Let C be a plane curve given by the parametric equations x = f(t), y = g(t), a ≤t≤b. Suppose that C…

A: Let a curve C be parametrized by x= f(t) and y = g(t),

Q: Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic…

A: Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic…

Q: Letū= (-2,37₁ v = (-5,27 and W = (-2₁4) Find the vector X that statif statisfies in this X = 1…

A: See this solution in below.

Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. Ay…

A: Topic - Equation of tangent line to curve We are given, y=3+cot x -csc xand we know thatslope of…

Q: Calculate the derivative: (6t4 - 7t) dt =

A: To find the Derivative.

Q: A man 5.5 feet tall walks at a rate 3 ft/s directly away from a street light which is 22 feet above…

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Q: Find an equation of the tangent line to the curve at the given point. y =   1 + sin(x) cos(x),…

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Q: Write the expression as the logarithm of a single quantity. 5) ——— In(x³ + 3x) - 2 In(5)

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Q: Define as the region bounded by the functions u(y) = y² + 1 and v(y) = y between y = 1 and around…

A: Graph:-

Q: Exercise 8 Form the difference quotient lim h→0 Exercise 9 f(x+h)-f(x) h Evaluate the limit lim (x².…

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Q: By the "end behavior" of a function we mean the behavior of its values as →∞o and a to-∞o. Do P(x) =…

A: P(x)=4x⁵-5x³+2x End behavior is determined by the degree of the polynomial and the leading…

Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) |0 ≤ y ≤ x ≤ 5}. Then the double integral of…

A: NOTE: Refresh your page if you can't see any equations. . from the figure, we can write the limits…

Q: f(x) = x² - 11x + 30 g(x) = x - 5 (f+g)(x) = (f- g)(x)

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Q: Find a function r(t) that describes the line passing through P(9,7,2) and Q(3,2,9). r(t) = (-6t+9,,…

A: See this solution in below.

Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

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Q: x + 1 x-1 1. Given: f(x) a.) solve: (fog)(0) = and g(x) = x-3 x + 3 b.) Find the domain of f,domain…

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Q: Let P and Q be polynomials. P(x) 818 Q(x) if the degree of P is (a) less than the degree of Q, and…

A: Given query is to find the limit of the expression.

Q: Consider the function f(x) = x² x² + 4 You may use the facts that f'(x)= needed. = Answer the…

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Q: Find a vector function that represents the curve of intersection of the elliptic cylinder given by…

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Q: Define as the region bounded by the functions u(y) = yž +1 and v(y) around the y-axis, what is the…

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Q: Find volume by revolving the given area about the y-axis using the shell method. Answer in terms of…

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Q: finding the 4th derivative of f(x)=ln(3x+1

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Q: The price of a widget is given by p(x)=160−8x where x is the quantity demanded. The cost of a widget…

A: The price function is given by px = 160-8x Where x is the quantity demanded. The cost function is…

Q: Evaluate the limit, if it exists. 1 - 2x² - x4 5+x - 3x4 1 2 (i) lim x → ∞

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2r? If so,…

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Q: 1. Integrate each of the following. a. f 3x²e³x dx b. fxco. xcos(4x)dx

A: (a) Given that ∫3x2e3xdx

Q: Write an equation describing the relationship of the given variables. y varies inversely as the…

A: y varies inversely as the cube root of x and when x=125, y=3.

Q: Define as the region bounded by the function f(x): and the line x = 1 in the first quadrant between…

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Q: 1 Let g be the function defined by g(x) = -x² + 8x. Find g(a + h), g(-a), g(√ā), a + g(a), and g(a)…

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Q: If f(x) f'(x) = 4x² tan x sec x Find f'(2)- places) 7 find (round to 3 decimal

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Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be…

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Q: Given 7z - 8√✓-6x +9y- Provide your answer below: || -y-9z = 3, calculate dz dx

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Q: For f(x) = 3x² + 8x + 7, find the equation of the tangent line at the following values of x. (a) x =…

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Q: the above graph is the graph of f′(x), then f(x) has a local maximum at x=___, a local minimum at…

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Q: 17. Determine whether the following set is linearly dependent (LD) or linearly independent (LI). a.…

A: Let's find whether given set is linearly dependent or independent.

Q: Question Determine an upper bound for the error in estimating √3e² with 4 subintervals. Enter an…

A: Please see the below picture for detailed solution.

Q: Let S be the solid inside the sphere x2+y2+(z-3)2 = 9 and the below the cone x2+y2 = z2.   Setup…

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Q: A blach What is the probability that (a) the sum of the values is even? (b) the number on the red…

A: A black and red die is tossed than what is the probability of  a) the sum of the values is even? b)…

Q: ow If w = −6x + 2yª, x = 3s +7t, and y = −8s — 6t, find Ət Sorry, that's incorrect. Try again? Əw Ət…

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

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.

Q: ouncements dules cussions des norlock Find the equation of the tangent line to the given function at…

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Q: Differentiate the given function using the appropriate rule(s). Here is the inverse trig function…

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Q: 2 Suppose f(x) = -3x²-3x - 7. Compute the following: A.) f(-4) + f(2)= B.) f(-4)-f(2)=

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Q: 1. Evaluate the following definite integrals using the Fundamental The- orem of Calculus (b)+12+ dr

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and y4 of the…

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Q: How many critical points does f have? Which points are critical points?    At which points does f…

A: NOTE: Refresh your page if you can't see any equations. . Critical points are points where the…

Q: Coshz= ête 2 Evakate Cos(+21)

A: As we know that,cos(x+y)=cosxcosy-sinxsiny.and sin(ix)=isinhxand…

Q: A clothing business finds there is a linear relationship between the number of shirts,n, it can sell…

A:

Q: Question R is the region bounded above by the graph of f(x) = 6e-² and below by the x-axis over the…

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and…

Q: lim (1+1)* 148

A: Please see the below picture for detailed solution.