Find the equation for the line tangent to the parametric curve: at the points where t = 5 and t = -5. For t = 5, the tangent line (in form y = mx + b) is y = For t=5, the tangent line is y = X = Y = t³ - 25t 251²-14

Q: nd barely audible to the human ss the formula so that the expression in parentheses is written as a…

A: topic:- algebraa

Q: 9. Find the solution to satisfying y = dy dt = 7y || y(6)=9

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Q: The difference between a linear regression and a correlation is largely philosophical. Linear…

A: Option A  : The global mean temperature has gone up while the global pirate population has gone…

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Q: The graph below shows a transformation of y S 5 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 y = 1 D 3 4 5 2.…

A: topic- equation of a function

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A: Since you have posted multipart questions so I have solved first three subparts as per our company…

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Q: d the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 8x2 - 6x - 5…

A: Topic:- limits

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Q: Ind the one-sided limit (if it 1 Ilm *--5+X+5

A: topic:-  limits

Q: an the graph of f(x), determine the domain off-(x). [10,-) [2.-) - f(x)

A: Topic:- function and it's inverse

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Q: Given: f(x) = x³ − 6x² + 9x + 5. Find the ABSOLUTE MINIMUM value of f (x) on [−1,2]. A. -11 B. 7 C.…

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Q: Use the ratio test to determine the radius of convergence of the series. R = 00 n = 1 (2n)! -xn n2n

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Q: Question 2 ( by the curves y = ) Draw the enclosed regio /1 1- x, y = 0 and x =

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Q: Find all solutions of the equation 2 sin² z The answer is - COST- with < < *. 1 in the interval [0,…

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Q: Find the shaded region in the graph. 4 3- NO 2 1 X = y=2 y = cos x + 1 π/6 E|M 3 πV3 π: ….. The area…

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Q: Find the horizontal and vertical asymptotic for f(x)= x^3 / (4-x^2)

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Q: i) Find the exact length of the curve 1 + 15 4x3 y = y = ii) Find the exact area of the surface…

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Q: Find the average rate of change of the function f(x) = x² - 2x + 3 between x = -2 and 2 = 4. Type an…

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Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

A: The given sequence an=6n+7n1n

Q: 5 ['s (Use symbolic notation and fractions where needed.) Calculate the integral, assuming that 5…

A: The objective is to find the integral.

Q: 3).   Draw the directional field for the differential equation. y' = 3y + xy

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Check the convergence of the sequence  an= n2e-5n

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: A Sliding Ladder A 26 ft ladder leaning against a wall begins to slide. How fast is the top of the…

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Q: ASIC 0/0 Find p, q if f f(x) dx - f f(x) dx = f f(x) dx. (Give your answers as whole or exact…

A: Please refer to the image below

Q: Part A: If h(x) = f(x) + g(x), solve for h(x) in sin

A: topic:- calculus

Q: Expand f(x) = √3+x as a binomial series. 2 / 3 (¹ + $ 1 E 0 + (¹ + 5, (1 1 O O₁+ (-1)1-3. 5 . n=1…

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Q: Use polar coordinates to find the volume of the given solid. V = Inside both the cylinder x² + y² =…

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Q: Please help

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Q: Question Rewrite the following quadratic function in standard (vertex) form. Enter exact values and…

A: This is a problem related to application of algebra. Please follow the procedure given below.

Q: Use Stokes’ Theorem to evaluate the flux integral ∫∫(∇×F)·ndS, where F =〈2y, −z, x+y −z〉, S is the…

A: To evaluate the flux.

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: (X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, nd…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

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Q: Find the Tangent vector, the Normal vector, and the Binormal vector (T, N and B) for the curve r(t)…

A: This question can be solved using the concept of vectors and derivatives.

Q: 7. Use the Mean Value Theorem and find all points 0 <c<2 such that f (2)-f(0) = f'(c)(2 - 0). f(x) =…

A: topic:- function

Q: (f) If F(x, y) = 5y sin(xy)i + 5x sin(xy)j, f(x, y) =

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Q: 1. Determine the interval of convergence for the series: 27 3 9 3x + 3x² + 2. Find a general…

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Q: The integeral costat is used in the analysis of beam displacements (and in optics). Evaluate this…

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Q: Find the difference quotient, a) 5h²+2a+h+6 h Ob) 10a + 5h + 1 O c) 10a +1 Od) 5h + 1 f(a+h)-f(a) h…

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Q: Consider the following equation. f(x, y) = y³/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = u =…

A: As we know the expression for the gradient vector. ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y The given…

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Q: Find the Maclaurin series for f(x) = cos s (x³). (Use symbolic notation and fractions where needed.)…

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Q: Find the solution to the initial-value problem. dy dx = y2ex sin(6x), y(0) = 1 y =        [PLEASE…

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Q: An exponential function f(x) = ab passes through the points (0, 7000) and (2, 4480). What are the…

A: The objective is to find a and b.