# Do my Calculus Homework | Calculus Assignment Help

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## Calculus Homework Help- Ultimate Learning Experience With Expert Assistance

Students often face difficulties doing their calculus homework in graduation or advanced studies. The complexity of the subject, doubts, insufficient subject understanding, or the lack of guidance makes students feel "I need help with calculus." Although they know their problems, they feel confused about what to do and where to go for assistance. Noticing the needs of these students, TutorBin offers help with calculus to students for the betterment of their learning experience.

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## Access millions of Calculus solved questions with TutorBin Library

### Question 1

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\text { Let } \varphi: Z_{40} \rightarrow Z_{40} \text { be an isomorphism such that } \varphi(\overline{7})=\overline{23} \text {. } \text { Find } \varphi(15)

### Question 2

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(a) Let z= 2i(1 – i)(4 – 3i)-- \text { Find integers } m \text { and } n \text { such that } m z^{*}-z=14+n i \text {. } \text { (b) Let } w=\frac{3}{2}(\sqrt{3}+i) 18Use de Moivre's theorem to calculate ()t° and give your answer in the form a + bi where a and b are real numbers.(5 MARKS)

### Question 3

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y=\ln \left(\frac{x^{-2}}{\sqrt{\left(\cos \left(x^{2}-2 x\right)\right.}}\right) y=(\sec (2 x))^{e^{2 x}} y=\frac{e^{x} \sqrt{x+1}}{\left(x^{2}-1\right)^{2}} \cos (y)=\ln \left(\sin \left(e^{2 x}\right)\right) y=\ln ^{-3}(\cosh (-2 x))

### Question 4

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\text { Determine and classify the bocd extrema of } f(x)=2 x^{3}-3 x^{2}+

### Question 5

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4.) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. X =x = y', x+ y =2 about x=-1 axis.

### Question 6

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1. Given the following function g(x) = |16x³| Find the equation of the tangent and normal lines at x = -1/2 and x = 1/2. 2. Given the following function y x=\operatorname{artcg}\left(y^{2}-\frac{3}{x^{2}}\right) Find the tangent and normal lines at the point (1,0).

### Question 7

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2. Evaluate f(x+2¹)³dx

### Question 8

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10) Express the point r = 4,0 = T/4 in Cartesian coordinates.

### Question 9

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8. (1 point) Sometimes, however, things are simpler than they appear. Using the results of the preceding problem, simplify as much as possible: (1-\sin x)(1+\sin x)\left(1+\tan ^{2}(x)\right)= This is a little more tricky: Simplify as much as possible: \sin ^{4} x-\cos ^{4} x-\sin ^{2} x+\cos ^{2} x=

### Question 10

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The nose of a plane is pointing west with an airspeed of 350 km/h. The plane's resultant ground velocity is 315 km/h [S75°W]. Determine the speed and direction of the wind.Round your answer to the nearest tenth. Include a labeled diagram with your solution. . A box weight 415 N is hanging from two chains attached to an overhead beam at angles of 56° and 49º. Find the magnitude of tension in each chain algebraically.Round your answer to the nearest tenth.[5A] Fifi pulls a sled 135 m by exerting a constant force of 252 N at a constant angle of 56° to the level ground. Find the work done in pulling the sled. Round your answer to the nearest tenth.[3A]

### Question 11

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\text { Differentiate the function. } f(x)=\ln \sqrt[7]{x} f^{\prime}(x)=

### Question 12

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\text { Consider the differential equation } \frac{d y}{d x}=(3-y) \cos x \text {. Let } y=f(x) \text { be the particular solution } to the differential equation with the initial condition f(0) =1. The function f is defined forall real numbers. (a) A portion of the slope field of the differential equation is given below. Sketch the solution curve through the point (0,1). (b) Write an equation for the line tangent to the solution curve in part (a) at the point (0,1). Use theequation to appropriate f(0.2). (c) Find y = f(x), the particular solution to the differential equation with the initialcondition f(0) = 1.

### Question 13

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In 2D, a sphere can be described by x² + y² ≤r². In 3D, a sphere can be described by ²+²+² ≤². We can talk about a sphere in n -dimensions by defining it like x² + x² + ... + x² ≤r². Using what we know about multivariable calculus, believe it or not, it is relatively easy to calculate the volume of an n -dimensional sphere. It turns out that the volume of a 5th dimensional sphere of radius 1 will be a maximum, and then the volume of 6th, 7th, 8th, etc. dimensional spheres will be less. In fact, as the dimension increases, the volume gets closer and closer to 0. This is weird- seriously weird. Explore and expand upon this idea by calculating the surface area of spheres inn dimensions. When responding to your classmates, discuss their strategies in comparison to your own approach. What differences and similarities do you see?

### Question 14

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O Find and sketch the domain of the function f(x, y)=\frac{\ln \left(9-x^{2}-y^{2}\right)}{\cos \left(\frac{1}{x}\right) \sqrt{4-x^{2}}}

### Question 15

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\text { 2. } \int \sqrt{x} \ln x d x ; \quad u=\ln x, d v=\sqrt{x} d x

### Question 16

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If a polynomial function f(x) is divided by (2 x−5), then the reminder is:

### Question 17

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3. a) Draw a function, f(x) where each of the following-are true: \text { - } \lim _{x \rightarrow 2^{-}} f(x)=\lim _{x \rightarrow 2^{+}} f(x) \text { - } \lim _{x \rightarrow 2} f(x) \neq f(2) \text { - } \lim _{x \rightarrow-\infty} f(x)=-1 \text { (from above) } \text { - Domain }=\{x \in R / x \neq-4\} b) What type of discontinuity exists at x = -4 on your graph.

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