Find the slope of the tangent line to the given polar curve at the point specified by the value of 0. r = 6 cos(8), 0 = π 3

Q: y-values 8 7 6 3 2 1 If f(x) f'(2) = - g(x) h(x) ' g(x) 2 3 x-values then Ou y-values 5 4 1 h(x) 2 3…

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Q: Solve the differential equation. dy √xy dx = dx = 2, x, y> 0

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Q: Add the following complex numbers. (−5+19i)+(3−3i) Give your answer in complex standard form a+bi

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Q: 7. Given F(x)=√√√x+3 A. Find (fo (fog)(x) B. Find (9°F) (2) gof) → g (x) X -2 report domain and…

A: f(x)=sqrt(x+3)g(x)=x2-2.

Q: You will find the directional derivative of z(x, y) = 5 sin (4 x y), in the direction (3,-3) at the…

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Q: 1 · f(t) == t³-a¹t 5

A: f(t)=15t5−a4t

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: To find:-The given graph

Q: y = x ln x - x y = e ln x

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Q: K An apple farm yields an average of 43 bushels of apples per tree when 23 trees are planted on an…

A: We solve the given problem by using the concept of derivative.

Q: 1 8 Q1. Let f(x, y) = 3xy + / - 1. Т

A: f(x,y)=3xy+1x−8y

Q: The function f(x) = -3√x - 15 +14 x > 15 has an inverse f-¹(x) defined on the domain x < 14. Find…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A: Given equation is : x=-8Concept : To convert an equation into polar form, we substitute x = r cos…

Q: Use a graph to estimate the coordinates of the lowest point and the leftmost point on the curve x =…

A: In this question we will find the lowest and left most point.

Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,

Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

Q: Why/How did you know to use the 2n when multiplying the power?

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Q: If a 4th order linear differential equation is such that the corresponding characteristic equation…

A: If a 4th-order linear differential equation is such that the corresponding characteristic equation…

Q: (3) Redo Question (2) of Homework 1 using the Exact approach 2xydx + x²dy = 0

A: Given Differential Equation is as follows

Q: Find when 6x² + 3x³y - 2y = 40. dy dx dy dx The slope of the tangent line to this curve at the point…

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Q: intercept (x, y) =

A: we have given function

Q: Does the sequence {an} converge or diverge? Find the limit if the sequer In (n + 5) an = 3 Use…

A: A sequence  converges if  where L is a finite number.

Q: (1) (2 cos y + 4x²)dx = xsin ydy

A: given differential equation

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

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Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

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Q: Let F = (z, xy, x² + y²). Compute the work done by the force when moving a particle located at the…

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Q: Help determine the difference quotient and for f(x)=x^2+4

A: Given,. Difference quotient=

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

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Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

A: Here we will find limit of the given functions, we will find it on putting the x= infinity and -…

Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. 7 Insee( arctan…

A: Consider the integral

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: For the given double integral, to sketch the region of integration and to wrire an equivalent double…

Q: Find the slope of the line tangent to the graph of the function at the given value of x. == -√x; x =…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Consider the function f(x) = x¹ — 32x² +6, −3≤ x ≤ 9. This function has an absolute minimum value…

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Q: Consider the following parametric curve. Find dy dx dy dx dy dx = Find the value of X = sin (6t) +…

A: Equation of the line : (y-y1) .

Q: 2t - e -2t Let h(t) Find the horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) N ? 7 6 a

A: The given graph

Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

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Q: y = ln(5t³ - 6) y = ln(4- 3x²)

A: y=ln⁡(5t3−6)

Q: Determine the function f satisfying the given conditions. f ''' (x) = 12 f '' (0) = 1 f ' (0) = 2 f…

A: Given that Let

Q: Determine the function f satisfying the given conditions. f ' (x) = ex/3 f (0) = 10 f (x) = A eBx…

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Q: Find the differential dy. y = ex/5 1_5x dy || Evaluate dy for x = 0 and dx = 0.01 dy = 0.002

A: Consider the function

Q: Find equations of the tangents to the curve x = 6t² + 4, y = 4t³ + 4 that pass through the point…

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Q: 1.Find all critical points, extreme values ​​of the following function. f(x) = x^2 + x with I = [−2,…

A: To find all critical points, extreme values ​​of the following function.

Q: etermine the interval(s) for which the function shown below is decreasing. 8 7 6 5 4 3 2 1 Y A…

A: Determine the values of  for which the values of  are decreasing.

Q: Find the critical numbers of the function f(x) = 12x5 + 45x¹20x³ +4 and classify them. Round your…

A: To find the critical numbers of the function  and to classify them.

Q: Let f(x) = (6-x-x² 2x - 9 Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: 0 1 3 2 X f(x) f'(x) -2 -1 2 N 2 133 When x = 0 then D 1 255 324 X 0 3 g(x) 1 2 g'(x) 2 3 -2 0 g(x)…

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Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: f(x) = 2x-7

Q: A student solves an optimization problem as in Model 1, except that in the problem Mini and Max are…

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Q: Find the derivative of: Type your answer without negative exponents. Simplify completely. 25x 3…

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