Find all values of the constants m and b for which the function S sin x, y : тx + b, х 2п is a. continuous at x = r. b. differentiable at x = .

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Solve the following

Q: Find dy/dx implicitly and find the largest interval of the form  −a < y < a  or  0 < y < a  such…

A: Given function is tany=x

Q: * Find (fzyx) for the function (f = sin(xy)* .cos(yz)* cot(xz) ) B) zycos(yz)-sin(yz) O A)…

A: Given: f=sinxycosyzcotxz To find: fzyx

Q: Suppose L is the tangent line of y 3 tan a 2 csc x at x = Where does L intersect the x-axis? 40 O At…

A: topic - equation of tangent line

Q: Find the average velocity of the function over the given interval. g(t) = 3+ tan t, |-14 %3D

A: Average value of any function is ratio of  difference in outputs and the difference between inputs.

Q: Find the local extrema of the function f(x, y) = e-(cos(r)+sin(y)) and test for which are max, min,…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: a² + y? – a*y³ f(r, y) x² + y?

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Q: If m s f(x) < M for a sx s b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: The domain of the function y tanh z is 1, +∞). Select one: a. False Ob. True

A: To find the domain of this function, we use the fact that for any one-to-one invertible function f…

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Given that

Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y…

A:

Q: Suppose that the radius r and surface area S = 4pai r2 of a sphere are differentiable functions of…

A: The relation between surface area and the radius of the sphere is as below.

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume that x and y are differentiable functions of t. For the following, find  dx/dt given that x =…

A: Differentiate both sides with respect to t. For xy use product rule, then cancel 2 from both sides.

Q: Find dy/dx implicitly and find the largest interval of the form −a &lt; y &lt; a or 0 &lt; y &lt; a…

A: tany=x Differentiating with respect to x, we get ⇒ddxtany=ddxx⇒sec2ydydx=1⇒dydx=1sec2y⇒dydx=11+tan2y…

Q: . Find all values of the constants m and b for which the function S sinx, y mx + b, x 2T is a.…

A: To find all values of m and b for which the function:   y=f(x)  =  sinx    x&lt;π…

Q: Obtain the derivative dh when the radius is 5 m. First, substitute 5 for rin the volume of cylinder.…

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Definition used-      Chain rule of derivative - For a composite function, we use the chain rule of…

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: SOLUTION-

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: (a) From the given the function is f(x, y) = xy = 2, dx/dt = 13 when  x=4.Differentiate the function…

Q: Find dy/dx implicitly and find the largest interval of the form -a <y <a or 0 < y <a such that y is…

A:

Q: Let x and y be differentiable functions of t, and let s = 4x² +6y² be a function of x and y. Answer…

A:

Q: Find aw/as and ôw/at using the approprilate Function Values sin(4x + 5y) X = s + t, y = s - t TT S =…

A: w=sin(4x+5y) x=s+t,y=s-t replace values w=sin(4(s+t)+5(s-t))=sin(4s+4t+5s-5t)=sin(9s-t) w=sin(9s-t)…

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: The given function is y=x and x and y are both differentiable functions of t.

Q: 3. Given a function z = x2 + xy°, and x = cost, y = sin t, evaluate when t = T. dt

A: Given,            A function z=x2+xy3 , and x=cost , y=sint

Q: 1 dx , by taking n=4. Inx A. Use Simpson's rule to evaluate B. Find the length of the curve y = x2…

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Q: 9. Find the antiderivative of the following functions: a) f (x) = sinx b) f (x) = sec?x of (x) = VT

A: Here we have to find the anti derivative of the given function  which can be calculated by…

Q: Let r and y be differentiable functions of t and suppose that they are related by the equation ry –1…

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Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We have y=√x

Q: Find the approximate value for f(z, y) = sin(x5zy+ ln(y)) at (0.03, 1.04). Taken = 3. 00,24 O 0,14 0…

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Q: At what points are the functions continuous?

A: The function can not have a negative value under a square root.  But x^4+1 &gt; 0 for all values of…

Q: Given f(x, y, z) = xe"y + sin(xyz), find fyzz

A: Derivatives of: Sin x is Cos x Cos x is -Sin x u

Q: The pdf of a continuous RV X is given by f(x) = cos(Ax)+ 10, where x E [0, -1. Find the value 2A of…

A: Given density function of the random variable X is, f(x)=cos(Ax)+10, x∈0,π2A The value of A is…

Q: Let f(x)= sec(x), find the linear approximation at x= pi/4 and use it to estimate sec(pi/5)

A: Given function: fx=secx At x=π4 fπ4=secπ4=2

Q: Find dy/dx implicitly and find the largest interval of the form −a &lt; y &lt; a or 0 &lt; y &lt; a…

A: tany=x Differentiating with respect to x, we get dtanydx=dxdx⇒sec2y·dydx=1⇒dydx=1sec2y⇒dydx=11+tan2y…

Q: A) Evaluate the following integral : S(sec X+ cot X) dx B) Find the derivative of: y = 4x Jx+ Vx *+…

A: A) Given ∫sec x + cot x2 dx                =∫sec2 x+2 cot x sec x+cot2 x dx                =∫sec2 x…

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: Assume that x and y are both differentiable functions oft and find the required values of dy/dt and…

A:

Q: 20. For the function z = f(x,y) = x? – y + 2, write a formula to calculate approximately the change…

A: Given z=f(x,y)=x^2 -y+2 We have to find a formula which gives the approximate change in z ,…

Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

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Q: Use the formula D„(sinh w) = -1 :Dw, where w is a differentiable function Vw2 + 1 du +C, where a >…

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Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 <y < a such that y…

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: For a differentiable function f(x,y)with x =rcos0 and y =r sin0; (i) Draw the Tree diagram. (ii)…

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Q: ssume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: For the smooth curve, find any points where the tangent line is either horizontal or vertical. x(t)…

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