1. Find the length of the given curve: 3π x = 3 cos 0, y = 3sin 0,0 ≤ 0 < 2 L = So √ dx dᎾ . 2 + 2 dy (dv)² do

Q: Evaluate the limit: 1x + 9 lim x 9 x² + 2x - 63

A:

Q: a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write…

A: Given that f(x)=lnx. In order to find the expressioncn =fn(x) Differentiate the given function with…

Q: If f(x) is a continuous function and if C (2) is an antiderivative of f(x) for all real numbers a [²…

A:

Q: Suppose that f'(x) = Answer: 8 + x² and F(x) = f(√). Find F'(1).

A:

Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

A:

Q: 4 n=1 What is the expansion of the series 4+1?

A:

Q: Question 21 Compute the given integral. 1 36x² +1 -da Submit Question A Jump to Answer +C

A: Please see the below picture for detailed solution.

Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: The graphs of two functions are shown with the areas of the regions between the curves indicated. y…

A: We have to find the required area by using the graph

Q: answer number three here please. I just need help with c

A: We have to find the upperbound.

Q: 9) Solve: (x + y)dy-(z-y)dx=0 a) x² + y² = C b) z² + 2xy + y² = C c) z²-2ry+y²=C d) z²-2ry-y²=C

A: We need to solve D.E.

Q: Find the critical point of the function f(x, y) = -2 - 7x - 8x² + 4y + y² This critical point is a:…

A:

Q: If G(x) is an antiderivative of f(x) = 2 + sinx and G(0) = -1-2, what is G(T)? O None of these. -3 3…

A: Given that Gx is an antiderivative of fx=2+sin x and G0=-1-2π. We have to find the value of Gπ.

Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: Given the tables for f & g below, f(x) g(x) 8 5 0 X 0 1 2 3 4 5 6 7 8 9 7 6 5 3 1 9 2 4 c) f(g(7)) =…

A:

Q: ppose that x = f(y) is determined from the equation y = x + sin(3x) on a neighborhood of O. Find…

A: Given query is to find indicated derivative.

Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Solve the following

Q: The Laplace Transform of is Select one: O None of these. O F(s) = O F(s): O = F(s) = f(t) =…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 6x F(x) = cos(t¹) dt. […

A: To use the fundamental theorem and find derivative

Q: Given f(1) = 7, f'(1) = 5, if g(x) = ef(x) then g′(1) = (Give an exact answer)

A:

Q: Inverse Laplace transform of 2S-5 2 + is s²+16 F(s) = f(t) = 2cos(4t)-5sin(4t)+t² دی Select one: O…

A:

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DN 2x sec X lim…

A:

Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 70 bushels of fruit. She…

A:

Q: logo(-4x) - log6 5 = 1

A: Given,            log6-4x-log65=1

Q: 2) Consider the function: f(t) = 0, e-kt, 0 ≤ t < 1 1 ≤t. A) Use the definition to find F(s) =…

A:

Q: 8 W n=1 Determine whether the following series converge absolutely, converge conditionally, or…

A:

Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

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

Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

A:

Q: If ? what is f(x) = ex -1 f-¹ (x)

A: We  are asked to find inverse of the function

Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

A:

Q: Let* (t) = (-5t² +4,t³-14, 21³). Find the line (L) tangent to (t) at the point (-1,0,2) L:(x, y, z)=…

A:

Q: Graph the hyperbola given below using the transverse axis, the center, the vertices, and the…

A:

Q: Evaluate the integral f(2x + by making the substitution u = x² + 3x + 8. 2x + 3) (x² + 3x + 8) ¹dx +…

A: Evaluate the integral. By making the substitution u= x2 + 3x + 8

Q: Assume 0<x< Use logarithmic differentiation to find O (sin z)(zcot 2 + ]n(sin z)) O (sin x) (x cos x…

A: To find the differentiation of given function.

Q: A salmon swims in the direction of N30°W at 6 mi/h. The ocean current flows due east. at 6mi/h. (a)…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

A:

Q: Inverse Laplace transform of 2 s-5 2 + is s²+16 s³ f(t) = 2cos(4t)-5sin(4t)+t² F(s) = Select one: O…

A: We are required to find if the inverse Laplace transform of F(s) is True or False

Q: The table below shows values for f(x, y). x values are down the side, and y values are across the…

A:

Q: What is the standard form equation of an ellipse that has vertices (-2, -18) and (-2, 8) and foci…

A: Here is the solution

Q: On which of the following intervals can the domain of y = cos x be restricted so that an inverse…

A: Given    y =cos x The value of cos x can vary from -1 to 1

Q: x = The position of an object at time t is given by the parametric equations y = 5t² + 1 Find the…

A:

Q: Textbook Sketch the region enclosed by y = e³, y = e, and a = 1. Find the area of the region.…

A:

Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: Consider the A. Using derivative analysis, find the coordinates of any local extrema. B. Using…

A: Given function is f(x)=Inx/x To find critical points we use f'(x)=0 To find inflection point we use…

Q: fa² - √x² +7 dx: This can be transformed into a basic integral by letting Consider the indefinite…

A: Let's solve given integral.

Q: Use implicit differentiation to find the slope of the tangent line to the curve 3x³y + 7xy² = = 198…

A:

Q: Find the area of the region bounded by the given curves. (6,12) Sh D

A:

Q: Find all real numbers k, if any, for which no real solution for k -2 and 2 -4 and 4 2 [₁2³ dz r³ dx…

A:

Q: 6) For the following, find the x=2 and give the first Taylor Series, write the in f(x) = ln (x)

A: