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Q: Evaluate using Integration by PARTIAL FUNCTIONS only. please use A,B,C if needed.

A: Please go through the attached solution.  Thankyou . Best regards.

Q: Sky Diving A sky diver jumps from a reasonable height above the ground. The air resistance she exper...

A: (a) from the given downward velocity the sky diver at time is : v(t)=180(1-e -0.2t) To find the init...

Q: Consider x = h(y, z) as a parametrized surface in the natural way. Write the equation of the tangent...

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Q: please do answer this two questions and make sure it is right. I can't submit a question again :<...

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Q: 0. x+1 Show that

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Q: r(x)=f(g(h(x)))，h(1)=2, g(2)=3 h'(1)=4, g'(2)=5, f'(3)=6, r'(1)=?

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Q: The volume of a cube is expanding at a rate of 10ft^3/min. How fast are the sides of the cube changi...

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Q: Volume The radius of a right circular cylinder is given by √t + 2 and its height is 12√t,where t is ...

A: Given: Volume The radius of a right circular cylinder is given by √t + 2 and its height is 12√t,wher...

Q: 1) Solve the following integral 1 dx. xV4x4 – 1 - ii) Determine whether the following integrals conv...

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Q: Find the reduction formulas L Conmect for r Sinx Cox dx the integral cost-z adx with and the evaluat...

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Q: Let f(x,y,z)=x^3y^2+z^2 and x=s^2t,y=s^3t^2, and z=st^3. (a) Calculate the primary derivatives ∂f∂x=...

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Q: Find the equation of the tangent plane to z=e^y+x+x^4+6 at the point (4,0,267).

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Q: plss help

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Q: Given the function g(x) = 4x° + 6x² – 24x, find the first derivative, g'(x). = (x),6 Notice that g'’...

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Q: ‘The area of the region enclosed by the parabola y = x* ~ 6 and the ine y = x.

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Q: 2 For the given cost function C(x) 19600 + 800x + x, First, find the average cost function. Use it t...

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Q: Find the Definite Integral:

A: value=?

Q: If the 6th term of a GP is 9375 and it's 4th term is 375.find the 9th term.

A: General term of GP is ar/^n. Here a= 3 and r= 5

Q: Find the General and Particular solution of dy/dx = 4y ; y = 3, when x = 0

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Q: Calculus Question

A: To solve the following problem

Q: EXAMPLE 2 Find the mass and center of mass of a triangular lamina with vertices (0, 0), (1, 0), and ...

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Q: If the 6th term of GP is 9375 and it's 4th term is 375.find it's 9th term

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Q: Suppose f is a continuous positive decreasing function for x ≥ 1 and an = f(n). By drawing a picture...

A: To determine  Remainder Estimate for the Integral Test

Q: 15 sum of the series 3n-1X3nt 2)

A: We have to find sum

Q: Use Definition 2 to find an expression for the area under the graph of f as a limit. Do not evaluate...

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Q: Find dy /dx fors catx y-(tanx) +Ccata) (cotA) tanx

A: We use Logarithmic properties and differentiation

Q: Do NOT use differentiation. Do NOT use L'Hospital's Rule.

A: We use factorization method

Q: Suppose f(0) = 8 and 5 s f '(x)5 8 for all x in the interval [-5, 5]. Determine the greatest and lea...

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Q: Use the Chain Rule to find dz/dt or dw/dt. z=sin x cos y, x= √t, y=1/t

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It...

Q: 3. In Exercises below, find the are length parameter along the curve from the point where by evaluat...

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Q: I need help with this homework problem please provide steps and details on how you got the answer so...

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Q: Use the below table values to approximate f'(3) using the Three- point end point formula with h= -1 ...

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Q: Determine f the sarles 1 ヘ-3 diverges? converges or

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Q: 10.) At what point does the curve have maximum Curvature? y=In(x). K(x)= f"|

A: firstly find f, f' and f'' . And substitute all these values in given curvature formula.  After that...

Q: Q1/ The volume generated by rotating the region bounded by the given curves y = v-x + 1 + 2, y = 2x,...

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Q: Find an equation of the tangent plane to the surface z = -! -3x? + 3y – 2x + 2y + 2 at the point (2,...

A: We have to find tangent plane

Q: dx 21) Using half angle substitution, f. the new integral expression becomes 1-sin 2x-cos 2x 2da B. ...

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Q: (a) Write the first 5 terms of a power series approximation for f(x) = e centered atx 0. (b)Use the ...

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Q: h(x) as x -00 -> h(x)→

A: We have to find end behaviour

Q: Find the exact volume generated by revolving the region bounded by f(x) = 2x^2 + 10 and g(x) = 4x + ...

A: The volume generated by revolving the region by line y= 10

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

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Q: For a given double integral, what is a good indication you should change your calculation over to th...

A: For a given double integral, what is a good indication you should change your calculation over to th...

Q: Choose the Correct Answers. Please answer all :D Thankyou

A: In this question we have to find value of A, B and C. Note: As per our guidelines we are supposed to...

Q: 3. Find the first and second derivatives of f(x)= Tx +(T +(r*)x+ 4 Use exact values in your answers-...

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Q: Distance Between Two Ships A pilot measures the angles of depression to two ships to be 40° and 52° ...

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Q: If a curve has the property that the position vector r(t) is always perpendicular to the tangent vec...

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Q: q(x) = 5x² – 3x - 10 %3D Describe the behavior of the graph of q(x) as x ±∞.

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Q: Expressing One Trigonometric Function in Terms of Another Write the first trigonometric function in ...

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Q: Show that 0. x+1

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Q: evaluate the limit if it exists

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

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.