Find a function y = ax? + ba + c whose graph has an x-intercept of 1, a y-intercept of –5, and a tangent line with a slope of –1 at the y-intercept.

Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Please refer to the image below

Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y g f(x, y, z) 3D…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph off…

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Q: 1. Prove using vectors that the points (-1, 3, 3), (0, 1, 2), (2, 2, 2), and (3, 0, 1) are the…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Use synthetic division to divide. (Simplify your answer completely.) (3x3 – 27x2 + 50x – 56) ÷ (x –…

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Q: 6x

A: How can i find the intercepts of this Equation F(x)= x^3- 6x^2 write down the co - ordinates of…

Q: Hazel is 24 and wants to retire at age 62. She deposits $1,100 at the end of every 6 months into a…

A: We have to find how much money does she have in the fund when she retires, size of the monthly…

Q: Find all values of k for which the function y = sin(kt) satisfies the differential equation y" + 8y…

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Q: Find the values of xER for which the function given below is both defined and continuous. f(x) = In…

A: f(x)=ln(x-9)Since f(x) is log functionIt is defined for all( x-9)>0⇒x>9

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

Q: 5. Mark each statement as true (T) or false (F). No justification is needed. Assume that converges…

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Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

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Q: Find the moment of inertia of the solid formed with respect to the axis of revolution: region…

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Q: Calculate the cross product. (Use symbolic notation and fractions where needed.) (i + j) × k =

A: (i+j)×k

Q: Evaluate (2х — у) dx + (х + 3у) dy. Jc C: arc on y = x>1² from (0, 0) to (4, 8)

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Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) 2- 2 4…

A: As per the instruction, we will be answering only the first three subparts. Given the graph of f:…

Q: Find det A by expanding about the first column. State whether A -1 exists. - 1 -1 -4 A = det A =…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y²,…

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Q: Use the limit laws to evaluate the limit. lim + - 2 7. X-7 Select the correct choice below and, if…

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Q: 1 0 0 A = -1 2 0 1 0

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Q: Problem #6: Consider the following function. H(x, y) = 7 In(3x² +y³) %3D (a) Find f(2,3). (b) Find…

A: a. fxx(2,3)  = 42(-3×22+32)(3×22+32)2fxx(2,3)  = -0.2857

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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Q: 4. Let f, g be the functions R → R given by 5- 3r if r 1, { if z 5 f(z) = { g(1) = For each of these…

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Q: 31. n! it n n =D1 n = 1

A: The given power series,   ∑n=1∞n!nnxn

Q: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

Q: has 1100 ft of fencing to fence in a rectangular horse corral. 550- x (a) Find a function that…

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Q: Find all points of intersection of the given curves. (Assume 0 ≤ ? ≤ 2? and r ≥ 0. Order your…

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Q: The distance that a free falling object falls is directly proportional to the square of the time it…

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Q: dy (t2 – 26t + 120) = y dt

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Q: 3. Given y = (1- V2x); Find dy/dx %3D du

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Q: In an oblique triangle, a=25, b=16, angle C-94'06. Find the measure of angle A.

A: We have given,a=25, b=16, B=94°06'=94.1°;∴ cos94.1°=−0.072

Q: x*+1 dx = 0 y

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Q: Suppose the clean water of a stream flows into Lake Alpha, then into Lake Beta, and then further…

A: Note: - According to our guideline i didn't solved more than three subparts . So please again repost…

Q: Solve the initial value problem. dy 2xy = 8x, у(0) — 0 dx y =

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Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: Calculus III is A. Multi-operational Calculus O B. Momentum Calculus O C. Multi-dimensional Calculus…

A: The course included parametric equation,polar coordinates, vectors ,sequences, Taylor expansion, and…

Q: 5/3 1x² /100 – x² – y² + 10 75 - Let J= z dz dy dx - 5/3 13 (x? +y?) (i) Express the integral J in…

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Q: Solve the following equations over the given interval. 1) 4 cos? x-3 = 0 over [0°, 360°) 2) sin?x +…

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Q: 5. Use 1 mile = 5280 feet to solve the problem below. * %3D Two people are looking up at a…

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Q: Directions: Identify the following. Use the figure at the right. 1. On Circle O, a. name each…

A: Since this is a multiple subpart question according to the Bartleby answering rule, only first three…

Q: The rate of proliferation (that is, reproduction) for the cells in a tumor varies depending on the…

A: Here,             We have given  the rate of proliferation for the cells in a tumor varies depending…

Q: The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was…

A: The population A in thousands of Atlantic City in 2014 was 39,521. In 2018, the population was…

Q: in a certain state, each standard automobile license plate number consist of two letters followed by…

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Q: =[cosh" (xe- coshza-X 4. Cosh 20- X 2.

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Q: Find the equation of the line parallel to 7x + 2y - 4 = 0 and passing through (-3, -5).

A: We know that the equation of line is  y=mx+c where m is the slope and c is the y-intercept of the…

Q: In Exercises 19-26, find the center of mass of the lamina de- scribed by the region R in the plane…

A: Let's find.