Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r'(t)||³ 10t: r(t) = e¹⁰ti + e¯tj е to find к(t).

Q: Consider the equation 22-15 = (1/4). Enter the number of solutions of the above equation. Determine…

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Q: Find the area under the graph of f over the interval [-1,5]. ²+3 x≤3 4x x>3 f(x) =

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Q: Use the intermediate value theorem to show that the polynomial function has a real zero between the…

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Q: Use the intermediate value theorem to show that the polynomial function has a real zero between the…

A: Using intermediate value theorem, we can show that f(x) has a real root in given interval.

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: Integrate the function H(x,y,z)=x²√√37-12z over the parabolic dome z=3-3x²-3y², z≥0.

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Q: Let g(x, y) = x² In(x + y).

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Q: this is wrong, I already told you it is. Why would you keep submitting the incorrect answer wtf

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Q: z =tan(u/v), u = 3s + 7t, v = 7s - 3t

A: using chain rule

Q: Write a polar equation of a conic with the focus at the origin and the given data. hyperbola,…

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Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

A: Height To findaverage velocity

Q: The plane x + y + 2z = 30 intersects the paraboloid z = x2 + y2 in an ellipse. Find the points on…

A: The plane x + y +2z= 30 intersects the paraboloid z =   x2  + y2   in an ellipse. Find the points…

Q: The derivative of a function of f at x is given by f'(x) = provided the limit exists. Use the…

A: Givenf(x) = 5x2 + 2x + 4

Q: Example 0.3. Find the volume of the solid obtained by rotating about the y-axis the region bounded…

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Q: The graph of the function y = A. increasing and concave up on what interval? 3x³ + 9x² - 72x - 160…

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Q: FI x4 NYI 0₁ F5 F₁ | 7₂ | F₂ |fu|t₂ 00.jo. 40 35 20 50'70 50' 10'30

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Q: Find the area of the shaded region below. Area = (-3, 3)- YA x=y² - 4y x=2y-y² X

A: To find the area of the shaded region below.

Q: 2. Use implicit differentiation to find y'. (Assume y is a function of x.) y y) = ²/ = ly +1| +…

A: By using implicit differentiation to find .(Assume  is a function of )Note: Since the student has…

Q: c) lim x ln (x) x→0+

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Q: Use analytic methods for the following function. f(x) = 6000x 4950 - 2x (a) Find any points of…

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Q: √x + 1 - 1 X

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Q: Consider the region R bounded by the line y = 47 - 9x and the parabola y = 27 — x². - To find the…

A: By the answering guidelines of Bartleby, We can answer only question from multiple questions, please…

Q: Q1.8 b If f* f (2) dx = [*9(2) de a True False g(x) dx = 5, then S* (f(x) + g( a (f(x) + g(x)) dx =…

A: (Given)"Note that as per the rules, we are supposed to answer the first question as these are the…

Q: 1- Consider the equation x³ – 10x² + 12x − 1 = 0, a) Show that if we apply Newton's method to, to…

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Q: The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising…

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Q: f(x) = |x| Complete the following when f(x) = 3 f(x)=x+6 a. Draw a graph of f. b. Explain why f is…

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Q: Solve the problem. Round your answer, if appropriate. 20. A ladder is slipping down a vertical wall.…

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Q: Suppose that the weekly sales volume (in thousands of units) for a product is given by 33 (p+7)2/5…

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Q: Evaluate the derivative F'(x) of the function F(x) defined by: 1 F(x) = =S₁₂ VITES √1+t³ dt

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (0, 0), focus…

A: Given:We are required to find:

Q: Find the direction cosines and angles of u and show that cos² a + cos² B + cos2 y = 1. (Round your…

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Q: Pictured below are a contour map of f and a curve with equation g(x, y) = 8. Estimate the maximum…

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Q: Find the length x to the nearest whole number. X 410 (Do not round until the final answer. Then…

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Q: Given that 3 is a zero of the polynomial function f(x), find the remaining zeros. (x)=x³-5x² +23x-51…

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Q: Find all values x = a where the function is discontinuous. 6. f(x) = -3/(6x - 8)(8 - 2x)

A: A function is said to be discontinuous at a point where it is not defined.

Q: Solve the given initial-value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0) = −6, y'(0) = 1

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Q: Find the flux of the field F(x,y,z) = zª i+xj - 6z k outward through the surface cut from the…

A: To find the flux of given field.

Q: Determine the interest rate r needed for an investment of $3,000 to grow to $24,000 in 9 years if…

A: The amount formula when the money is compounded.Note that here A means amount, p means principal…

Q: Find the area of the shaded region. -4 x = y² -3 -2 y 2 -2 -3 y = 1 X = e) 2 y = -1

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Q: If f(x) < g(x) for all x # c then limit of f(x) at c is less than the limit of g(x) at c.

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Q: Let f(x) = 8x sin ¹(x). Find f'(x). f'(x) = Find f'(0.4). f' (0.4) =

A: Let To find .To find .

Q: If f(x) is a polynomial function, then its graph has no vertical asymptotes. [

A: Polynomial Functions:Polynomial functions are defined analytically with polynomials of the…

Q: If 4* = 29, solve for x. Write your answer using the natural logarithm function. X =

A: We have, 4x = 29.Remember that, ln(ab) = b(ln a)

Q: People were polled on how many books they read the previous year. Initial survey results indicate…

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Q: Determine whether the vector field is conservative. F(x, y) = xex²3y(2y + xj) conservative O not…

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Q: ind the area of the region enclosed by the curves x=y²-4y and x=2y-y² Area =

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Q: Find the second derivative d²y/dx² of the function defined implicitly by the equatio x1/3 + y¹/3 =…

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly…

Q: The gas law for an ideal gas at absolute temperature 7 (in kelvins), pressure P (in atmospheres),…

A: Given the following data,P = 8V = 12n = 10R = 0.0821