Find the slope of the line tangent to the graph of f(x) = -x-1 at x = -3. Provide your answer below: m = tan

Q: Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x x≤1…

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Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (3.-1.1)…

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Q: Evaluate the definite integral given below. 2 [ ²³ ( -5x ² + 2x² ) dx

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Q: Calculate S3, S4 and S5 and then find the sum of the following telescoping series. S = - Σ( 41-4₂)…

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Q: try again, answer is incorrect

A: Let's find minimum distance between point and plane.

Q: The result of the integral 4 / (x - 1)(x + 1) is equal to -dx Select one: O none of these. ○ In…

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Q: The position of a particle at time t is s(t) = t³ + 4t. Compute the average velocity over the time…

A: We need to find velocity.

Q: If f(x) = x¹ +4, g(x) = x − 2, h(x) = √√√x, then fogoh(x)=

A: This question is based on function.

Q: 2 [ 2e sin de

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Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

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Q: Use the graph to match the integral for the volume with the axis of rotation. (a) V R O (i) (ii) (b)…

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Q: To evaluate the integral 3 100+ x² dx, which of the following substitution be used? Select one: Ox=…

A: Topic:- application of integration

Q: Find a formula for the nth term of the sequence. 1, 4, 9, 16, 25,... Determine the sequence's…

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Q: A function F(x) has a given value F(0) = -3. A graph of the derivative F'(x) is given below. What is…

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Q: Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the…

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Q: f(x)=(1+ 4x)1/5; (0.94)1/5

A: We have to find the value of function at point x =.94

Q: 6. Find the limit (if it exists) of the sequence (x_n) where x_n = (2+3n-4n^2)/(1-2n+3n^2).

A: We have to find the limit of the sequence.

Q: A particle moves along a line with a velocity v(t) = 2 - 2t², measured in meters per second. Find…

A: A particle moves along a line with a  velocity vt=2-2t2, measured in meters per second. To find the…

Q: A particle moves along a line with a velocity v(t) = 1² + 2t - 8, measured in meters per second.…

A: Given thatvelocity vt=t2+2t-8To find : The total distance the partical travels from t=0 to t=3…

Q: 7. Find function q(z) = x³ − 3xy² + iv(x, y) is analytic, find v(x,y).

A: if a function is analytic then C-R equations satisfy.

Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: 2 ver portion cut from the sphere x² + y² + z² = 4 by the cone z = 0 and v= and use spherical…

A: We are asked to find the surface area of the portion.

Q: Find a function whose graph is the given curve. the bottom half of the circle x2 + y2 = 4 f(x) =

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Q: Hannah can paint a room in 8 hours. Destiny can paint the same room in 10 hours. How long does it…

A: Given that Hannah can paint a room in 8 hours.and Destiny can paint the room in 10 hours.Our Aim is…

Q: Evaluate (for x>0) 3√x dt d dx A 2 1+t²

A: Given :ddx∫0x3dt1+t2

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: Cost of membership plan = $40 Let No.of driving hours = x

Q: Evaluate the indefinite integral. Select the correct answer. X 64 64 cos(8x) + 64 cos (8 x) + cos(8…

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Q: For f(x,y) = Inx+y³, find f( e 5,6). f( e 5,6) = [

A: We have to find f( e5 , 6)

Q: lim 1-26 2 (2 + 3n-4n²) (1-2n + 3n²)

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Q: A tank has the shape of an inverted circular cone with height 15 m and base radius 2 m. The tank is…

A: We are asked to find work required to pull than water to the top of the tank.

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 8 Σ n=1 n!…

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Q: Use logarithmic differentiation to find dy dx y=x√x² +1 note x > 0

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Q: Find lim h→0 lim h→0 f(6+h)-f(6) h f(6+h)-f(6) h = if f(x) = -9x-8. (Simplify your answer.) ***

A: We need to find limit.

Q: Find the indicated quantities for f(x) = 2x². (A) The slope of the secant line through the points…

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Q: f(x)=1/(1-4x); 1.07-1

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Q: Find the area of the surface obtained by rotating the curve about the y-axis. = (y² - Iny), 1 ≤ y ≤…

A: surface area  about  y axis  bounded by  x=g(y)Area=∫ab 2π g(y)1+g'(y)2  dy

Q: In the graph to the right, the equation of the parabola is x = the area of the shaded region in the…

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Q: A function F(x) has a given value F(0) = 2. A graph of the derivative F'(x) is given below. What is…

A: A function F(x) has a given F(0)=2 A graph of derivatives F'(x) is given here .we find the value of…

Q: To evaluate the integral 1 3 √100+ x² -dx. which of the following substitution should be used?…

A: Consider the integral  ∫3100+x2dx

Q: Given parametric equations and parameter intervals for the motion of a particle in the xy-plane…

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Q: Find the average value of f(x) = √√√x + 6x over the interval [0, 2]. Submit an exact answer using…

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

A: The total cost of manufacturing x auto body frames is Cx=50,000+700x

Q: Write the first three terms of the sequence. an = 5n-4 2 n² +4 a3 The first three terms are a₁ = ₁a₂…

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Q: Suppose that y varies inversely with x, and y = 4 when .x = 3. (a) Write an inverse variation…

A: Solution of given question is written in below steps.

Q: Given the integral below, find the best lower and upper bounds for F that the comparison theorem can…

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Q: Use the rational zeros theorem to list all possible rational zeros of the following f(x)=-3x² -…

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Q: Use substitution to find the Taylor series at x = 0 of the function In (1+5x²). What is the general…

A: Taylor series

Q: Express your final answer at least three (3)decimal places. A particle moves with a velocity of…

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Q: 4. Consider the region bounded by y=x² and y=x in the first quadrant. What is the volume of the…

A: Disclaimer: According to the guidelines, the handwritten solutions are not provided at the moment,…

Q: Use the Root Test to determine if the following series converges absolutely or diverges. n² 00 n=1…

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