Find the slope of the line tangent to the curve y = sin x at the point where x = 3

Q: A tubular metal 3.9 meters long leans against a vertical wall and the other foot of the metal is on ...

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Q: State whether the sequence, whose nth terms are indicated, is bounded and whether it is eventually m...

A: let  an=n9n

Q: Qu 1 Using the separation of variable method, solve the following differential equations in a). and ...

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Q: Score Grade/Section: Date 13. What is the solution of the inequality? A. x > -1 or x 1 or x -2

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Q: A rectangular plot of farmland will be bounded on one side by dimensions? river and on the other thr...

A:  We need to find area and dimensions.

Q: Verify that the indicated function is an explicit solution of the given differential equation. Assum...

A: Given:     y''-6y'+25y=0     y=e3xcos4x      y'=ddxe3xcos4x  Apply the product rule: ux·vx'=u'x·vx+u...

Q: Calculate arc length between s=0 and s=a

A: We need to find arc length.

Q: is

A: We will find the derivative using quotient rule. 

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y1/2 dy + y3/2 = 1, y(0) = 16...

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Q: 8. 27 n=3

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Q: 2+1 Consider f (x) = 2-2 A. Explain why the Mean Value Theorem cannot be applied to f (r) on the int...

A: Given that the function is            f(x) = (x+1)/(x-2)      

Q: A ball is launched vertically upward with a velocity of 128 ft/s, so its position function can be mo...

A: Given that - A ball is launched vertically upward with a velocity of 128ft / s so its position funct...

Q: If you are doing least to greatest and you have 0.750 and 0.3 do you add two zeros or keep 0.3 the s...

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Q: (0) E sin ) sin 2(n+ 1) - n=1

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: In the rectangular prism shown below, OA=a, OC=b and oD =c. Express each of the following vectors in...

A: We have to express sides of rectangular I  prism in terms of vector a, b, and c

Q: Find the derivative of the function. 7. x3 + 2 y = e

A: Given:         y = e x3+27

Q: Find Ay and f'(x)Ax. For y = f(x) = X = - 1.6, and Ax = 0.1

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pe...

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Q: For the sequence {an}, with lim an = 9, this means the terms in the sequence approach 9 as n becomes...

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Q: Given the following system of differential equations dx = 4x + Oy – 9z dt dy = Or dt Тy + 31z dz = -...

A: When -R term introduce to the diagnonal entries.

Q: The half-life of cesium-137 is 30 years. Suppose we have a 190 mg sample. (a) Find the mass (in mg) ...

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Q: Problem 5: Solve the following differential equation for y(t) for the initial value problem using th...

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Q: Sec2x Q1) A) Evaluate the following integral: JI-tan?X dx B) Find the slope of the line tangent to t...

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Q: 11. Consider the following rational functions: 2x 1 x + 27 x -- 9x x² + x - 6 x + 6x² + 9x r(x) s(x)...

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Q: Which of the following sets are equal? A = {x e R|-2sxs2} B = {x e Z|-2sx< 2} C= {x e Z*|-2 < xS 2} ...

A: So set C and D are equal. 

Q: Operations Find the derivative of the function. Functions y = x?V25 - x2 Symbols Relations Sets Va o...

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x² dy 2xy %3D 4y*, У(1) - dx ...

A: Topic:- differential equations

Q: Caitlin leased a car for 4 years at a rate of 5.80% compounded monthly. It required her to make paym...

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Q: ) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the finit...

A: Area under the curve =∫ab(upper curve -lower curve)dx  

Q: Show that the sequence too n! 217 is eventually strictly increasing or eventually strictly decreasin...

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Q: 4. f(x) = e-x³/2 %3D

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Q: Look for the volume of the solid generated by the Solid of Revolution revolving region bounded by th...

A: Let's find. 

Q: Use the formula for the binomial series: m(m-1).(m-k+1),k + ... m(m-1). 2! (1+ x)" = 1+ mx + = 1+ E=...

A: Put m=-3 in binomial series. And follow step 2nd . 

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Write the first five terms of the sequence, give the exact answer: +o0 n n+ 19 J. n=1 Determine whet...

A: nn+19n=1∞  

Q: For eccn of the functions below, calculate the in verse function : h-dre=(ワナ 2)9u)%3D33%-1 +5 る) hx)...

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Q: 5 5 -2 6 det -1 0 10 = 47 -3 5 5 -2 6 det-1 0 10 = - 165 7 -3 5 5 -2 6 O det -1 0 10 = 0 7 -3 5

A: Given query is to find the determinant of the matrix.

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Consider the differencial equation given by: 1にY01/sa) de a) This equation have Three equillibrium p...

A: (a)To find the equilibrium point. (b) Classify each equilibrium point as asymptotically stable or un...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: An infinite series  a+ar+ar2+ar3+.....∞=∑k=1∞ark-1 converges if r&lt;1 and its sum is S∞=a1-r 

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost fu...

A: topic - functions and  derivatives

Q: Write the first five terms of the sequence, give the exact answer: +oo n+23 n=1 Determine whether th...

A: To write the first five terms of the sequence and to give the exact answer.nn+23n=1+∞To determine wh...

Q: 10 (100*+1) dx

A: I have stated the used formulas in the solution 

Q: Water is pouring from a hole at the rate of 25 cu. m per minute and is forming a conical pile on the...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: suppose a baby food company has determined that its total revenue R for its food is given by R = -x...

A: Given:       R = - x3 + 36x2 + 540x 

Q: Find the derivative of the function. 4r y'(x) = Need Help? Read It

A: