Find an exponential function of the form P(t)= Pon that models the situation, and then find the equivalent exponential model of the form P(t)= Poet

Q: Given points A(1,3,-7) an B(0,2,-4), calculate AB AB 3 137 √11 3.3

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Q: Find the curvature of the curve (t) = (3-2 cost, -1, 4+2 sint) at the point t = -π. 3

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Q: F tly sunny Find the exact value of cos(255°) cos(105°). -√3-2 4 04/1 + 0 - 1/1/0 O -√3+2 4 5 Q…

A: To find the exact value of .

Q: a) Create the vector & parametric equations for the line, L₂ that passes through the L₁ x 3- 2t : =…

A: The solution is shown in step-2

Q: GUEN f(x) = 2x² -18 x²-4 FIND ANY CRITICAL VALUES. FIND SECOND DERIVATIVE. h) FIND ANY INFLECTION…

A: We need to solve function for 2nd derivative, critical points and inflection points.

Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

A: By using the power-reducing formulas to rewrite the expression in terms of first powers of the…

Q: f(x) +3 4+ -4 If lim 3e² 00 0-3 O-4 Oe-3 =e", then lim f(x) =

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Q: Question 6. Use the limit definition of the definite integral to compute [₁20 + Hint: Ax = ba = *; =…

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Q: Which of the following fundamental identities is a quotient identity? Ocot(e) = cos(6) sin(8) O…

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Q: Use logarithmic differentiation to find the derivative of y. y = (x^3 + 1)^3(x - 1)5x^3

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Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 5-x, x3.…

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Q: Find two positive numbers x and y such that xy = 162 and 6x + 3y is minimized. X = y =

A: Given:          xy=162         s=6x+3y

Q: Question 2. (a) If f is a function that is then there exists some number c such that a < c < b and…

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Q: Find the limit lim (A) 0 (C) ∞ 6x+1 -8x² - 4 (B) (D) 1 3 4

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Q: Find the angle between the vectors v = 5i - 3j and w = 2i - j. Round your answer to the nearest…

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Q: Find u (v x W). u = (3,3,3) (5,9, 0) V = w = (0, 0, 3)

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Q: 2x x/3 2 Evaluate the spherical coordinate integral 4p² sin & dp do do. 00 sec The value is (Type an…

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Q: 0 18. (sin x- — π 4 π 4 1)dx + f (cos x + 1)dx 0

A: we have given integration

Q: 2 2 7. f(sec¹x – tan^x)(tan x sec x)dx

A: Remember the identity : Remember the formula

Q: Find a parametric description r(t) for the following curve. The line segment from (7,1,8) to (4,5,4)…

A: We are required to find:

Q: Problem 15. Find the intervals on which the function is concave up and concave down and indicate the…

A: y= x7+7x3+1We have to find concavity and inflection point

Q: Solve the given differential equation by undetermined coefficients. y"8y' + 20y = 100x² - 65xex y(x)…

A: The solution is shown in step-2

Q: For q (x)= -5x+5x-4 x²+2 (a) Identify the horizontal asymptotes (if any). (b) If the graph of the…

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Q: -8 0.0001t dt

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Q: The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire…

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Q: Solve the given differential equation by variation of parameters. x²y" - xy + y = 10x y(x) = ,X>0

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Q: For the following function find (a) f(2), (b) f f(x) = 2x + 1 X-2 f(2)= 2 if x #2 if x = 2 (a) Find…

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Q: Write the system of linear equations in the form Ax = b. Then use Gaussian elimination to solve this…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: We have,     f(x) = - √(6x ) ln(2x)

Q: 6 a. Prove that if z = (ax + by)², then x² + y²y = 2z

A: To prove that if , then .Note: Since the student has posted multiple questions and does not mention…

Q: Write v as the sum of two vector components if v = i +3j and w = 2i+j. O v = (-2i+2j) + (i +j) Ov=…

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Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 4 sin(2x) y(x) =

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Q: Find the equation of the tangent plane to the graph of f(x, y) = ln (4x² - y²) at the point (1, 1).…

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Q: Consider F and C below. F(x, y, z) = yzex² i + eײj + xye×z k, C: r(t) = (t² + 5)i + (t². (a) Find a…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A: The given parametric equations of line using bracket notation and also using i, j, k notation

Q: Question 7. Express lim [sin² (3+3)+2 (3+³)] / as a definite integral of a function nxi=1 from x=3…

A: The solution is shown in step-2

Q: Draw the graphs of the following functions (show asymptotes if any) and also write down their end…

A: The given functions,(i) (ii) (iii) .We have to sketch the graph of the functions and write its end…

Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

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Q: 10. A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/s. Find:…

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Q: The exponential function f(x) = a + b whose graph passes through points (1, 1) and (2,3) is Oe +1…

A: We have,    f(x) = ax + b    Points : (1,1) and (2,3)

Q: Find the vector that is orthogonal to the projection vector that comprises the sum of two vector…

A: The projection vector p of vector v onto vector w is given by ..........(1)Now,

Q: Tim X90 χε -3x

A: given limit

Q: Use the Law of Sines to solve the following triangle for c. Approximate your answers to the nearest…

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Q: Use the Law of Cosines to find the specified missing value. Approximate your answer to the nearest…

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. A = 47°, b =…

A: Given , In a triangle ABC

Q: 59. On what interval is the curve 1² o ²² + 1 + 2 dr y = S₁² ₁ concave downward?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What does the equation y = 8 represent in R³? O a point a line a plane a circle What does z = 6…

A: we need to draw a sketch of the equation

Q: Find the point (s) on the graph of y= 4-x2 closest to the point (0,2). smetch is required.

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Q: Solve the given differential equation by undetermined coefficients. y" - y'= -6 y(x) =

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