x-9 lim x-9 √x-3 A. 00⁰ C. 6 B. O D. no limit

Q: Consider the parabola p(x): = O a. [0.7062,-0.7062] O b. [14.6916, 12.7084] O c. [0.28540, -1.69777]…

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Q: Max is saving money to buy a new scooter. He decides to save $10 per week and starts with $50 in his…

A:

Q: Evaluate the definite integral. 6.² sin (4t)dt

A: Let assume,

Q: Suppose that f(x) dx = -10.6, f² f(x)dx = -1, ₁ g(x)dx = -3.4, and g(x)dx = 18.7. Then what is O a.…

A: ∫ f(x) + g(x) dx = ∫ f(x) dx + ∫ g(x) dx∫2 4 f(x) dx = ∫0 4 f(x) dx - ∫0 2 f(x) dx

Q: Perform the integration indicated. '1 x dx x² + 1 I'v

A:

Q: Given f(x, y) = 4x6 – 6xy³ – 2y¹, find fz (x, y) = fy(x, y) =

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Q: Which of the following integrals gives the 1 to length of the curve y = In x from x = x = 2 f² √1+…

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Q: 8 zln(4z) Determine the most general antiderivative of h. 8 zln(4z) Let h(z) = = S -dz

A:

Q: -5 -4 3 2 4 3 2 1 -2 -3 -4 1 on Use the graph of f(x) above to estimate the value of f'(0) to one…

A: Given: A graph of a function is given as follows:To find: We have to estimate  from the given graph.…

Q: 10. Find the max/min of f(x, y) = x²y on R = {(x, y): x² + y² ≤9}- I

A: f(x,y)=x2y on R={(x,y):x2+y2≤9}f(x,y)=x2yg(x,y)=x2+y2−9Using the power Ruleddxxn=nxn−1

Q: Approximate the area under the curve graphed below from x = approximation with 5 subdivisions. w 2 7…

A: We are given a graph of function .We have to approximate the area from left endpoint of interval…

Q: Find the area of the region bounded by the graphs of ƒ(x) = x³ + 4x² − 12x and g(x) = −x² + 2x.…

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Q: Let C be the curve y = 4x³ for 0≤x≤ 1.2.

A: for

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √(x² + 1)2 dx

A:

Q: Find the closed formula for each of the following sequences (an)n>1 by relating them to a well known…

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Q: 31) What is the double angle formula for sin² (x)?

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Q: The figure shows the graph of f. If F' = f and F(0) = 2, find F(b) for b = 1, 2, 3, 4, 5, 6. F(1) =…

A: The given figure

Q: d'y If y = 3e-2, then dr³ A B C D -24e-2x - 6e 48e -2x -2x -216e-6x

A: y=3e-2x

Q: Using Ratio Test find whether the series is convergent or divergent: √√3 n=1 n 4" n!

A: By using Ratio Test to find whether the following series is convergent or divergent.

Q: Find the divergence of the field F. F= -7x⁶i-5xyj-5xzk

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: If exists for every  then,provided that limit exist and finite. Then it is convergent.Given…

Q: Write a non-recursive formula for the nth term of the geometric sequence. {48, 24, 12, 6, ...}

A: To write a non-recursive formula for the nth term of the following geometric sequence.

Q: fx = a(0-sin0) and y = a(1- cos 0), find d and d²y/dx².

A:

Q: 10 Find the derivative of: 4√ Type your answer without fractional or negative exponents. Use sqrt(x)…

A: Explaination of the answer is as follows

Q: 22) Evaluate the limit, if it exists. If it does not exist enter DNE. rẻ -5x+6 lim X-5 x-5

A: To find .

Q: . Sketch the curve with the polar equation=3-4 cos 0. Show your work by creating a table of val

A: We will make a table…

Q: Construct the formula for the derivative of the inverse cotangent function.

A:

Q: Please ssolve and show all steps. please explain why and how to use partial fraction decomposition…

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 10- 5x + 4y…

A: The given region is bounded by the curve in the interval .The aim is to find the volume of the…

Q: Using the substitution u = x³ – 1, ƒ±₁ x² (x³ — 1)5 dx is equal to which of the following? O O 63 -2…

A: Let, Put

Q: Find the derivative of f(x)=-5x42x8. f'(x) =

A:

Q: Find the equation for the tangent plane to the surface 9x² + 8y² - z = 0 at the point (2,1,44)

A: Consider the surface

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give…

A:

Q: 7x⁹ (x10 - 3) 5 a) This can be transformed into a basic integral by letting Consider the indefinite…

A:

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

A: f(x)=(x2+11x-12)

Q: Find Ax and the values to be evaluated for L4 on the interval [13, 33]. Ax = 5 L4 Endpoints: 13, 18,…

A:

Q: 21) Evaluate the limit, if it exists. If it does not exist enter DNE. x² - 6x + 5 lim x→5 x - 5 22)…

A:

Q: Please solve the integral: f sec(x)^2 tan(x) dx two different ways: By letting u=sec(x), and by…

A:

Q: 2x Find dz 8x + 4 + C

A: Evaluate

Q: We showed in class that Σ 1/n2 converges to some value A that is at most 2. Show that A is between…

A: The objective of this question is to prove that the sum of the series Σ 1/n^2, denoted as A, is…

Q: 15. If the complex number 2+3i is an eigenvalue of a matrix A = (ca) d 7 a, b, c, d are real…

A: If the complex number 2+3i is an eigen value of the matric , where a,b,c,d are real numbers, it…

Q: 21) Evaluate the limit, if it exists. If it does not exist enter DNE. x² - 6x + 5 lim- x→5 x - 5

A: The given function is .The aim is to find the value of the limit.

Q: 3- 2- 1 -4 -3 -2 -10 -1- -2- 1 2 3 4 5 Graph of g 6 7 8 3. The function g is defined on the closed…

A:

Q: ƒ(x) = x² + 8x + 16 2x + 8 Answer Attempt 1 out of 2 There is one x-intercept

A: Given that the function

Q: Evaluate the indefinite integrail. (Use C for the constant of integration.)

A: The given integral is sin(√x)/√x

Q: dy Use implicit differentiation to determine given the equation xy + x¹ = e. dx dy dx =

A:

Q: Evaluate 1dx using Simpson's rule with N = 4 1+x3

A:

Q: Use the given graph of y = f(x) to evaluate the following.

A: given graph of f(x)

Q: 27) Evaluate the limit, if it exists. If it does not exist enter DNE. lim(1+x)¹/x x→0 28) Evaluate…

A:

Q: Given f(x,y): fzx(x, y) = fry(x, y) = -5x5 + 6xy³ + y², find

A: Given,