in Describe the geometric series E 9 n=0

Q: Use a graphing utility to graph the given function. Use a [-5, 5, 1] by [-5, 5, 1] viewing rectangle...

A: Given that, g(x)=4-x2

Q: The initial and terminal points of a vector v are. (0.12, 0.60) (0.84, 1.25) . (a) Sketch the given ...

A: Since you have posted multiple questions, we will solve only first three question for you. To getrem...

Q: Find the domains of f and f−1 , (a) find the ranges of f and f−1 , (b) graph f and f−1 , and (c) sho...

A: Given that, f(x)=41+x2, x≥0f-1x=4-xx

Q: Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for val...

A: It is known by linear approximation that 1+xk=1+kx for the values of x near 0. The given function is...

Q: PROBLEM [ B6 (a) ]: Obtain the differential equation whose general solution is y = a sin 7x – b cos ...

A:

Q: Solve the logarithmic equation log4(2x + 1) = log4(x - 3) + log4(x + 5).

A: log42x+1=log4x-3+log4x+5

Q: Find the lengths of the curves. If you have graphingsoftware, you may want to graph these curves to ...

A: Given information: x=y3/23-y1/2  Distance from y=1 to y=9.

Q: Every polynomial equation of degree n has n distinct solutions.Determine whether the statement is tr...

A: Statement : Every polynomial equation of degree n has n distinct solutions. The above statement is f...

Q: When parallelograms are rectangles Prove that a parallelogram is a rectangle if and only if its diag...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: please answer quickly.

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Q: find all possible functions with the givenderivative. y' = -1/x2

A: Given: y'=1x2

Q: Q:57)

A: Given: y''-8y'+25y=0

Q: Evaluate the integrals.

A: To evaluate: ∫015re3r2+2dr. Let substitute t=3r2+2 dtdr=6r+0dtdr=6rdt6=r dr Limit will also change a...

Q: If f(x.y)= x?+2xy+5y² then дудх

A:

Q: True or false: The minimum value of the function y = 2 sin x + 1 is -1._______

A: True or false: The minimum value of the function y=2 sin x+1 is -1.

Q: Calculus Question

A: Note: As per our guidelines we are supposed to answer?️ only one question. Kindly repost the other q...

Q: Use l’Hôpital’s rule to find the limits

A: To evaluate the given limits lim x→0sin3x-3x+x2sinxsin2x Solution: Since we know that, lim α→0sinαα=...

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. 2z ...

A:

Q: The graph of a logarithmic function is given.Select the function for the graph from the following op...

A: The graph of a logarithmic function is given                                                        ...

Q: Use a polar coordinate system to plot each point with the given polar coordinates (-3, -π) .

A: r, θ=-3, -π

Q: Use the definition of the derivativeand the trigonometric identity

A: Given function is fx=cosx

Q: Write the sums without sigma notation. Then evaluatethem.

A: Sum of sequence: ∑k=13 (-1)k+1sinπk We need to put the k values in the above sequence as k=1,2,3 con...

Q: Solve triangle ABC if a = 6, b = 9, and c = 4. Round angle measures to thenearest degree.

A: From the given data, it is clear that the longest side of the triangle is b. Draw a rough diagram fr...

Q: Solve quadratic equation. 5x2 = 6 - 13x

A: Given- 5x2=6-13x To solve- The above quadratic equation. Concept Used- The above equation can be sol...

Q: Finding intersection points Find the points at which the curvesy = cos x and y = x intersect.

A: Here given curves as y= cos x , y = x  

Q: EXAMPLE 2 Solving trigonometric equations Solve the following equations. a. V2 sin x + 1 = 0 b. cos ...

A: Given:a. 2 sinx+1=0b. cos 2x=sin 2x

Q: Continuity at a point Use the continuity checklist to determine whether the following functions are ...

A: Given function is: gx=x2-16x-4if x≠49if x=4 To check whether function is continuous or not at a=4. W...

Q: Two vertical poles of length 6 feet and 8 feet, respectively, stand 10 feet apart. A cable reaches f...

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Q: PROBLEM [ B2 ]: Find the volume of the solid of reolution bounded by the circle z +y = 16, and the l...

A: We have to find  The volume of the Solid of revolution bounded by the Circle x2+y2=16 and the lines ...

Q: A rectangular box was designed to be built for a length of 30 cm and breadth of 20 cm. What is the a...

A: The length of the box l = 30 cm The width of the box b = 20 cm  

Q: Vector-valued functions Find a function r(t) that describes the following curve.

A: An ellipse in the plane x=2 satisfying the equation y29+z216=1. We have to find a function r(t) that...

Q: Local Extrema Graph the polynomial in the given viewing rectangle. Find the coordinates of all local...

A: Maxima or minima (Local extrema): Let y = f(x) then 1) Evaluate y' = 0 and find critical point. 2) E...

Q: Use the graph of g to solve: For what value of x is  g(x) = 1?

A: The graph of function is given.

Q: Consider the function f(x) = log10 x. (a) What is the domain of f ? (b) Find f −1 . (c) Let x be a r...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...