1. S-10 sin 5x dx

Q: r(x, y) = ln(x + y) w = x sin(y) + y sin(x) + xy

A: In partial derivative, while taking the derivative with respect to one variable consider other…

Q: Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

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Q: b. fx(x, y)

A: Find derivatives of f(x,y) with respect x

Q: how do I complete the square with problems like: 3y^2 - 4y + 4x = 0 Thank you for your help!

A: This is a problem related to quadric equation. Based on the general formula of quadric equation we…

Q: Which of the following is correct? 1. cosh²x + sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh…

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Q: 9x Area bounded by the curves y=e*, y=e³x, x=0 and x = ln2

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Q: Given sin(a)= -and a is in quadrant IV and sin(B) = and π/2 <B<T. Use sum and difference formulas to…

A: Given sin(α) = - 8/9 and α is in quadrant IV and sin(β) = 5/8 and π/2&lt;β&lt;π Use sum and…

Q: Select all of the following graphs which are one-to-one functions. 3- D 0 O eie 2 1 --5-4-3-2-1 -1…

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Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all work toward…

A: Given,  f(x,y)=7x3y2-2x+3y

Q: Given f(x)= (b) 4x+3x² - 6x. Find All critical points of f(x) The interval on which f(x) is…

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Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A: We have to estimate the error in computing the length of the hypotenuse.

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: domain of the function: A = 8 B = and C= 8 For each of the following intervals, tell whether f'(x)…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: 1) f(x,y)=y-x, (2.1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Fill in the blank so that the resulting statement is true. If log 6(x + 4) = 2, then ______ = x +4.…

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Q: owin - y" −4y' +4y=0 L".

A: 1)  y''-4y'+4y=0 Auxillary equation is m2-4m+4=0m2-2m-2m+4=0m(m-2)-2(m-2)=0(m-2)2=0 ⇒m=2,2

Q: Use the properties of natural logarithms to simplify the expression. In(e) П

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Q: 12. 13. 14. √2+6-√√6 Т lim I-0 LIMIT VALUE: lim 2-1 LIMIT VALUE: Т lim 3 2-8 V 11-2z LIMIT VALUE:…

A: limx→a f(x) =L if and only if limx→a+ f(x) =limx→a- f(x) .

Q: In 2 Use the formula t= that gives the time for a population, with a growth rate k, to double, to…

A: We need to find growth rate and time to double the population.

Q: ✓ Find the arc length of this portion of the curve. Round your answer to two decimal places. L =…

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Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: a) Graph the function f(x)=x² + 2x b) Draw the tangent lines to the graph at the points whose…

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Q: Admission to a baseball game is $⁢2.50 for general admission and $4.50 for reserved seats. The…

A: Given Admission to baseball game is $2.5 for general admission and $4.5 for reserved seatsThe…

Q: (4) When 2x³-px²+qx-1 is divided by (x-3) the remainder is 44. When it is divided by (x+2) the…

A: This is a problem related to division of polynomials. Based on the general formula and concept we…

Q: Caitlyn wants to enclose a rectangular field with two internal partitions as shown. If the area of…

A: Given problem:- Caitlyn wants to enclose a rectangular field with two internal partitions as shown.…

Q: Apply the first derivative test to indentify all relative extrema. (b) f(x)=x²-2+1 (c) f(x) = cos²…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the laplace transform of f(t) = 2t¹-3e³t+10 cos 2t

A: Given that,  f(t)=2t4-3e3t+10 cos2t

Q: Write the equation of the line tangent to the graph of y² = − ly + 1x + 4 at (-2,-2). The equation…

A: We have to find the equation of the tangent.

Q: Lemon and Pepper are going sailing on the ocean today. Lemon's sailboat is 50 miles north of…

A: We have to find the distance between their sailboats changing after 2 hours.

Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

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Q: 23. Choose the correct answer. A lemon is launched into the air, and its path is recorded by a…

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Q: Solve for the limit of the following limits functions. Write your answers in simplest forms. If the…

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Q: a) √ (³x²-²) dx S (3x2

A: In this question we have to find integration and after that We have to verify.

Q: Given the function f(z) = 82-3, find and simplify the following values: f(a)= f(a+h) = f(a+h)-f(a) h

A: Simplify the expression at different values.

Q: | 12 – 2 – 1 2x - (x − 1)²(x² + 1) dr

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

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Q: Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 (b) y=2

A: We can answer the questions as below to find derivatives

Q: The parents of a child wish to establish a trust fund for the child’s college education. If they…

A: Compound Interest Formula:  (compounded continuously) A = P·er·t where t is the time period in years…

Q: Gravel is being dumped from a conveyor belt at a rate of 34 ft3/min and its coarseness is such that…

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Q: Find each limit, if it exists. +1 (a) lim x→∞0 x4 5 (b) lim x00x³ +1 5 (c) x³ + 1 lim x→∞0 x2 - 5

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Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: Find the derivative of f(x) = tan(sin(2x))

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Q: 3 sin (29) 1. Consider the polar equation (a) Complete the tables for the given values of Round to…

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Q: 3) f(x, y, z)=x² + y² -2=²+ = ln(x). (1,1,1) -1/2 4) ƒ(x, y, z)=(x² + y² + =²)¯¹¹² +ln(xyz),…

A: 3)    fx,y,z=x2+y2-2z2+zlnx We have,       grad∅=∇f=i∂f∂x+j∂f∂y+k∂f∂z ∂f∂x=2x+zx ∂f∂y=2y…

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t)= -0.009t² +0.8t where…

A: Given

Q: Write the equation of a sine or cosine function to describe the graph. MA

A: This is a problem related to graph of the trigonometric function. Based on the general formula of…

Q: 5) 5) g(x, y) = x²y + cos(y) + y sin(x) r(x, y) = ln(x + y)

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