17. x = 1 - y², x = y² − 1

Q: A quantity P is an exponential function of time t, such that P = 60 when t = 4 and P = 90 when t =…

A: Given :P=60 when t=4P=90 when t=3P=P0ekt

Q: Let (-+b, if 1(and a b) (a) For what value(s) of b is f continuous at 1? f(x)= 3, Answer: b (b) For…

A:

Q: Find all values of x at which the function x-8 x² - 6x +8 f(x) is not continuous. =

A: f(x)=x-8x2-6x+8for function is not continuous put x2-6x+8=0

Q: The CEO of the very profitable Sun-4-You Solar Company plans to invest $50,000 per year for 12-years…

A: we need to find out the value of money when CEO retires.

Q: Question 4: A damped oscillator has displacement, s, given by s = e-kt cos(wt) where w is the…

A:

Q: Calculate the cross product assuming u x w = (8, 9, 3) (Use symbolic notation or fractions where…

A:

Q: Find an equation of the tangent line to the graph of the following function f at the specified…

A:

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: f( x ) = x4 + x - 7

Q: State the domain and find all critical numbers of the following function. Show all work. f(x) = x(6…

A: Cube roots have no restriction on the domains. Critical numbers are values at which the derivative…

Q: 76. f(x) = x², x ≥ 0

A:

Q: 9. Evaluate: lim x-0 X-00 I tan3x =

A:

Q: A runner sprints around a circular track of radius 130 m at a constant speed of 7 m/s. The runner's…

A: To find the distance.

Q: 10. Select the expression equivalent to In(7). O log(7) ○ In(21) + In(3) O In(21) In(3) In(21)-In(3)

A: We have given logarithmic expression  ln7 Checking options  log(7)≠ln7 ln21+ln3=ln21×3=ln63≠ln7…

Q: f(t) 2t − 4 + 3√t √t

A: Given function:- ft=2t-4+3tt

Q: Let R be the region bounded by the following curve. Use the shell method to find the volume of the…

A: Given: y=6-x2, x=0, and y=0, in the first quadrant about y-axis.

Q: Given w= In z dw θω 1. Suppose x = u², y = 4v+e5 and z = : v3 tan u. Evaluate and ди Əv

A: Given w = yx7lnzx = u2y = 4v + e5z = v3

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: If the motion of a particle is governed by the equation  s=f(t) , then the velocity of the object is…

Q: Find the length of the curve x = ۲۰|س 5+41/4 from y = 1 to y = 4. 4y 3

A: Given curve equation:- x=y33+14y

Q: 6 1 SON₂ 13 √2²-9 J3√2 dt

A:

Q: 11. (D³ — 5D² + 25D - 125)y = 504 cos 2x - 651 sin 2x

A: Given :D3-5D2+25D-125y=504cos2x-651sin2x

Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

A: Given,             limx→∞arctanexTo find : Find the limit.

Q: 1. Use the method of integrating factors to solve the following differential equation. dy y + da DIA…

A: Given differential equation is dydx+yx=ex2 where x>0

Q: Use continuity to evaluate the limit. lim x√13 - x² X→3

A: We are allow to solve one question at a time. So if you need rest of solution please upload them…

Q: The graph of g'(x), the derivative of a function g(x) is pictured below on the closed interval [-9,…

A: Let's find interval of function increasing.

Q: 2. Simplify log(x) + log₁|

A: log4(x) can be written as (log(x))/(log(4))   log4(x) = (log(x))/(log(4)) And log4y=(logy)/(log4)…

Q: Given f(x, y) = 5x¹ - 4x²y – 2y5, find fx(x, y) = fy(x, y) = fxx (x, y) = fxy(x, y) = fyy(x, y) =…

A:

Q: Name: -1 2. The graph of sin(x) is transformed to produce the function f(x) = f(x - 2) Sketch one…

A: We have to sketch the transformed function.

Q: Evaluate the integral. Stanhdx

A: We are required to find ∫tanhx4dx   The following formulas has been used to solve this…

Q: Evaluate the limit in terms of the constants involved: lim (9t - 4at +4a) = −27+16a −27+16a((−3))…

A:

Q: For which integer n, 0≤ n ≤ 3, does the IVT say that f(x) = x³9x+3 has a zero in the interval [n/4,…

A: Given that : f(x) = x5 - 9x +3  has a zero in interval [n/4,(n+1)/4].   Here i attached the solution…

Q: Evaluate the integral. S 5x/2 1 + cos 2t 2 dt

A:

Q: following limits: m lim_f(x) = -4 hits) 1,0 help

A: Here is the solution

Q: Write an equation that expresses the fact that a function f is continuous at the number 2. lim f(2)=…

A:

Q: 1. Find (a) A + B (b) A+C: (c) 6B: and (d) B+3C

A: We use simple addition of matrices.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x²yev lim (x, y)-(0, 0) x4 +…

A:

Q: f(x) = 523 -5x + b if r ≤ 9 if x > 9

A:

Q: Find the second derivative of the given function g(y) = sinycosy A) - sinycosy B) -2sin2y C) -4cos2y…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: n Show that if 0 < c < 1, then lim Vc = 1 N18

A: Given :limn→∞cn

Q: Find dy/dx if y A. C. 8x -8 8x √(x²-8) ³ B. D. -8 √√(x²+8)³ -8.x √√(x²+8)³

A: Given y=4x24+2 The objective is to find the derivative of y with respect to x.

Q: Identify the initial quantity in this exponential function. P(t) = 3.6(1.04) 25 Select one: O 0.25…

A: A detail solution is given below.

Q: Let R be the region bounded by the following curves. Use the method of your choice to find the…

A: Volume of the region obtained by rotating the region about y axis V = ∫abπ( y )2dx Given y = x y ==…

Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 5 sin²(t)) at t - 7…

A: Solution is given below:

Q: Interchange the order of integration of the following integral (DO NOT EVALUATE). So St e dr dy

A: Given integration is ∫01∫y1ex3dxdy

Q: Find the second derivative of y with respect to t in this given equation: 2t² 2y + 3t² 8 3 (A) 2t-3…

A: given  2y+3t2=2t33-8dtndt=ntn-1d (constant)dt=0

Q: For the given​ function, find ​(a) the equation of the secant line through the points where x has…

A: Given y=fx=x2+x x=-3 and x=-1

Q: Consider the points P(6, 7) and Q(7,-8). (a) Determine vectors OP and OQ. Express the answer by…

A:

Q: 35. (AP Study) The number of rabbits on an island during a measured five years period of t was found…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3x² + 11x - 4 lim X→-4…

A: let  A=limx→-43x2+11x-4x2-16if we put x=-4,  A=00 form there for use l'hopital rule ∂xn∂x=nxn-1∂…

Q: Given P(1,1,5), Q(3,4,3), R=(1,5,7) Find the area of triangle determined by vertices of P,Q, and R

A:

Q: K Graph the hyperbola x² - y² =9. Give the domain, range, center, vertices, foci, and equations of…

A: