plane.

Q: Apply logarithmic differentiation given

A: Given query is to find derivative using logarithm.

Q: Find the equation of the line through (-10, 5) and parallel to the line 2x-5y = -9

A: Using slope point form.

Q: Solve the system of linear equations. 2x – 4y = -2 2y +x = 0 %3D

A: Explanation of the answer is as follows

Q: 21 - over the interval [ – 1, 1]. Find the area under the curve y = (x + 2)? area i

A:

Q: Let f (2) = - 6æ?. %3D a) Identify the interval(s) wheref is increasing. b) Identify the interval(s)...

A:

Q: Find the sum of the series: x3n – 1 n! n=0

A:

Q: It / 2 pcos x T-X sin(x + y)dy dz dx Jr/6 JO

A: Let's find. 

Q: Problem 4 Find dw/dt at t = 1 if w = re + ysinz- cosz, r 2vt, y =t -1 and z = nt.

A:

Q: Which of the following statements are true? * 1. The lines 2x + 3y = 5 and y = -x+ are parallel. %3D...

A:

Q: (a) Tell whether the given set of ordered pairs, table of values, arrow diagram graph is a function ...

A: The solution is given below in the next step:

Q: x*y" +x*y' – 4²y=1.

A: differential equation

Q: function

A:

Q: Convert the Cartesian coordinate (4,-4) to polar coordinates, 0<0 < 2T Enter answers as a decimal ro...

A:

Q: A rectangular box with a square base and of top must have a volume of 32 cm°. Fiind the smalles poSs...

A: Given that: A rectangular box with square base has volume of 32 cm3.

Q: 3 dy + 3² = 2x*y* dx 4

A:

Q: dx 6. Evaluate the improper integral. x² +3x+ 2

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Q: 11 – 2 log x dx 6 log x – log? x

A:

Q: Evaluate the integral: */64 – a°dz .3 2 -

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Q: Find the length of the parametric curve defined by x=r°, y=t- for 0st<1 7.

A:

Q: A researcher wanted to check the hypotheses that female students at the college spend more time at W...

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Q: Determine a formula for a polynomial f of degree 8 whose zeros are x = −8 (multiplicity 1), x = −2 (...

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Q: Find the exact value of dyd.r.

A:

Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the sampl...

A:

Q: Differentiate y= x² cos x tan x

A: To determine:

Q: III. Find the volume generated by revolving the area bounded by y=ex , x =1, x = 0 and y = 0, about ...

A:

Q: A small cake store estimates that the demand function for its signature cake is given by : p(x) = -2...

A:

Q: 4 xdx J(x+1)(х +4) 2

A: Here we have to apply integration by partial fraction method. We have the formula,                ∫1...

Q: 1. Given 2-x? 06 а) Do the following limits exists at lim f(x) and lim f (x). x6 b) Does function f ...

A:

Q: Let f be a differentiable function defined on [-6,-21. If f satisfies the conditions below, . = -5 i...

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Q: The market research department of a company recommends that the company manufacture and market a new...

A:

Q: Determine the volume of the solid formed by revolving the area bounded by x2 = 4y - 4, x= - 2, x=3 a...

A:

Q: y-f(x) 1-axis 12 The graph of f is given above. At which interval(s) is f"(2) negative? MCQ5.pdf 0(-...

A: We have given graph of function f(x), we need to discuss where f''(x) is negative.

Q: Sketch the region enclosed by the curves and find its area. 3 x = 0, y = 1, y= e³ Y x = -, NOTE: Ent...

A: From the given curves the bounded region is as shown below; Now use the double integration method t...

Q: Let f be some continuous function that is increasing on (-1,3). Which statement is an impossible con...

A: Given query is to find the impossible conclusion.

Q: A bakery sells chocolate cakes that cost $12 to produce. The overhead cost to run the bakery is $200...

A: Given  Cost price of cake C=$12 Overhead cost V=$200 Number of chocolates sold x=100

Q: 1. Given. a) Sketch the region of integration. b) Evaluate the integral by reversing the order of in...

A: find integration and area under the curve

Q: Rewrite the Cartesian equation y 3x2 as a polar equation.

A:

Q: 2 Find the derivative of the algebraic function f(v)= v2- v+8 O 112+6v+2v² (v+8)2 O 112- 32v-2v² (v+...

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Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C

A:

Q: = x. Suppose that R is the finite region bounded by f(x) = 4/a and g(x) = Find the exact value of th...

A:

Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral ...

A: Definite integral

Q: R 3. Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the sol...

A:

Q: Please help!!

A: Using application of derivative

Q: Determine whether 6B is defined. If it is defined, express the result as a single matrix; if it is n...

A: Given that: B=510-32-3

Q: (a)Deduce the 1$, 20d and 3rd derivatives of y = cos²x.

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Using the Fundamental Theorem of Line Integrals, evaluate F. dr, where f(x, y, z) = cos(xx) + sin(xy...

A:

Q: Find the value of a. -3t = a Vs +3

A: We know that if L(f(t))=F(s)thenL(ebtf(t))=F(s-b)We know thatL(1t)=πsSo,L(e-3tt)=πs+3

Q: Let E be the solid bounded by the xy-plane and paraboloid z = 4 - x2 - y2 so that S is the surface o...

A: According to question, Paraboloid z =4-x2-y2,Fx, y, z = xz sinyz + x3 i + cosyz j + 3zy2-ex2 +y2 k

Q: Problem 1 Let f(x, y) = r? – xy + y? - y. Find the directions u and the values of Duf(1, –1) for whi...

A:

Q: Given : (-) =3 - 207. (-) - -7. (-) f'( x f"(x 18 12 – х 1. Find domain of f(x) 2. Find V. A and H.A...

A: