For each graph below, state whether it represents a function. Graph 1 y Function? Function? 4. Yes • -4 -2 OYes Graph 4 -2+ O No ONO Graph 2 O Yes -8 -6 O No Graph 5 O Yes 6 O No + -4 Graph 3 O Yes -1 Graph 6 2+ -2 O Yes No O NO

Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Given csc 0 = -3, sketch the angle in standard position and find cos 0 and tan 9, where e terminates…

A:

Q: Find the arc length of the curve y = (e²+ e) from x = 0 to z = 2 Length:

A: Given  its derivative

Q: Consider the curve defined by the equation y = 5x + 3x. Set up an integral that represents the…

A:

Q: The two-dimensional Laplace equation, f(x,y)= -9x-6y +4 2²f ax 2²f Find for the given function. 2²4…

A: The given function,  f(x,y)=-9x-6y+4

Q: 1. Evaluate the given double integral by first changing its order of integration ~1 •1-y2 ye(1-2)²…

A: Concept: Error function: The error function (also known as the Gauss error function) can be defined…

Q: Find the derivative. f(x) = eº · 3x f’(x) =

A: topic- derivative of a function

Q: Use the Fundamental Theorem of Calculus to find the derivative of y = cost dt %3D [NOTE: Enter a…

A: Topic = Derivative

Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

A:

Q: Find all the second order partial derivatives of g(x.y) = x°y +5 sin (y) + 4y cos (x).

A:

Q: NASTA 3 x cos 4x X

A: Let the given function f(x)=x3cos4x

Q: 1.find the derivative of In[In(Inx)] 2. find the derivative of e(2x+Inx

A: Using chain rule of differentiation.

Q: Find the area of the surface generated by revolving the given curve about the x- axis. y=6x, 0≤x≤ 3…

A:

Q: Evaluate the following integral, or state that it diverges. S8x² e-x³ dx Select the correct choice…

A: We have to find integral

Q: Evaluate 2* |cos(z) — 1| dr. -

A:

Q: 1. If f (x) = 5x – 6x2 + 4x - 2 find f'(x) and f'(2).

A:

Q: Given f(x) find f'(x) f'(x) = 2 ¹(√2 x² + 3 In =

A:

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - ... -(1-1)² T Submit…

A:

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

A: topic - equation of tangent line which is perpendicular to given line

Q: Find all the values of x such that the given series would converge. 00 (2x)" Σ n8 The series is…

A:

Q: ude 5. Find the area of the triangle created by the

A:

Q: 1. Find the area bounded by: x=y² and y=-x².

A:

Q: For each graph below, state whether it represents a function. Graph 1 4 2- Function? Function? -2 O…

A: We have to check the function

Q: Determine the general solution of the Differential Equations using coefficient linear in two…

A:

Q: Given cost and price (demand) functions C(q) = 130q+47,900 and p(q) = -2.7q+800, what price should…

A: Given, cost function: C(q)=130q+47900 Demand function:p(q)=-2.7q+800

Q: Question 8 What is the equation of the line tangent to the function y = x³ + 7x² + 5x - 2 atx=0? Oy…

A:

Q: 13. Given the triangle below, find the value of c to the nearest tenth. side c = units 33 b 3.4…

A: Explained below

Q: Evaluate the integral : dr A +C (r+6)(x-4)

A: We have to evaluate the integral                                            ∫dxx+6x-4

Q: 1. Find the second derivative of the parametric equations_x = a cost and y = b sin t

A:

Q: Which statement is true for the sequence defined as 1² + 2² + 3² + ... + (n + 2)² 2n² +11n + 15 an ?…

A:

Q: f sin x ln(cos x) dx

A:

Q: Use the geometric series f(x) = convergence of the new series. f(x) 8 1-x 1 Σx, for x<1, to find the…

A:

Q: Find the length of the curve defined by from = 9 to z = 10. 2 y-4lm (()²-1) =

A: find derivative

Q: Find a value c that verifies the conclusion of the Mean Value Theorem for the function f(x) = x² on…

A:

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A:

Q: Please answer this, both parts; thank you!!

A: Here ia am providing my handwritten solution

Q: 5. If fx) = ene0", find f"(0). a. e b. 1 C. 7 d. 0

A: Derivative

Q: Use the power series E(-1yx", IxI < 1 to find a power series for the function, centered at 0. f(x) =…

A:

Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: Find the area of the surface generated by e + e -y revolving the curve x = 2 0sys In 6 about the…

A: To find the surface area generated by revolving the curve x=ey+e-y2,0≤y≤ln6 about the x-axis. We…

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: Over the interval shown above, the associated marginal cost is... O Increasing, then decreasing O…

A: given

Q: Find dyldx* y= : dy dx x+ xy In(x) y dy dx x + xy In(x) O Option 2 Option 4 dy _ x – xy In(x) dy y…

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

Q: A triangle has variable sides x,y.z subject to the constraint such that the perimeter is fixed to 24…

A:

Q: . Find the value of angle A in the triangle where a = 8, b = 6, and c = 7 to the nearest degree.…

A:

Q: 2 2Y と xe didy ーy

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Let f(x) =x' - 7x² +2. Find (f")'(-4)

A: We know that  f-1'(a) = 1f'f-1(a)

Q: Sx³√4 - 2x² dx 3

A: We have to solve integration

Q: CROSS OUT the graphs that have a greater horizontal magnitude than a vertical magnitude. т Zヒzレ ビビ

A: We have to find the graph that have a greater horizontal magnitude than a vertical magnitude.