Find the sope to the tangent Iine of the equation ,-y +ear (0,3) Hirt perform impl cit differentation cy dx

Q: licıt difterentiation to find an Usx imp equation of the tangent line to the curve 5xy° +xy=48 at…

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Q: find the domine of the function y(t)=sin 4t

A: Consider the given function: The domain of a function is the set of input or argument values for…

Q: What is the range of the tangent function y=tan(x)? A R B [- 1, 1 [0, + ) D (- 00, 1]U[1,+ ∞)

A: Tanx is the ratio of sinx and Cosx

Q: nd an equation of the tangent inction: 2 + 4xy + y² = 13 at (2,1)

A: We have to solve one question as per guidelines

Q: dy given the equation a + y° = 4. dx Use implicit differentiation to determine

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Q: Given the xーxy+y? %3D 9 2. Curve 6. Find the coordinates of the POTnts on the Curve where the…

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Q: Find where the slopes of the tangent to the curve r=e^(theta/2+1) are horizontal 0 less or = theta…

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Q: Find dy/dx and d²y/dx2. x = et, y = te-t dy dx d?y dx2 For which values of t is the curve concave…

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Q: Use a computer algebra system to plot y2 = x 3 - 4x for x and y between -4 and 4. Show that if dx /…

A: y2=x3-4x

Q: ind dy/dx by implicit differentiation. Vxy = 4 + x²y %3D xp

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Q: Find the tangent line to the cycloid (x(t), y(t))= (t – sint, 1– cost) at t = to.

A: Given xt=t-sint, y(t)=1-cost we have to find the tangent line cycloid at t=t0

Q: Determine the equation of the tangent to fr) = x + x at the point (1, 2). %3D O a) y = 3x - 1 %3D b)…

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Q: Find dy/dx and dy/dx2. = t? + 9, y = t? + 7t dy dx 9. 1+2 %3D 9. dx2 43 For which values of t is the…

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Q: Given the equation below, find dx – 10x° + 6x20y + y* - 3 dy Preview dx Now, find the equation of…

A: I will differentiate the given equation and find the derivative of given equation. finding the…

Q: Find dy/dx and dy/dx². x = e, y = tet For which values of t is the curve concave upward? (Enter your…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: dy dy and Find dx dx2 x = e', y = te-t dy dx d?y dx2 For which values of t is the curve concave…

A: Apply ln on both sides is x=e^t

Q: Find dy/dx and d2 y/dx2 . For which values of t is the curve concave upward? 13. x = et , y = te-t

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Q: Find the tangent to y = cos x at x = 5- O A. y=x+7 O B. y= -x+7 O C. y= -x-7 O D. y= 1

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Q: f'(rr), where f(t) = sint cost

A: Given function is ft=sint cost To find: f'π Solution: Product rule of differentiation is:…

Q: Use Euler's method to approximate the indicated function value to 3 decimal places, using h = 0.1.…

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Q: 3. Find the slope of the tangent line to r?ey + y²e² = 2e at (1,1). %3D

A: Let's find slope of given tangent line.

Q: dy -from the function y= sint, x= cost as a parameter. da? Obtain

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Q: XVI. Find the tangent to z = x²e° when x = 2, y = 0.

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Q: Using implicit differentiation, find Provide your answer below: dy dx Content attribution dy dx √xy…

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Q: Given the equation r In(y) = z Arctan(3*y). Assuming z as a function of variable dz and y, find

A: The given equation is xln(y)=ztan-13zy ........................................ (1)  Here z =…

Q: Find dy/dx and d²y/dx². For which values of t is the curve concave upward? x = t2 + 1, y = et – 1

A: x=t2+1y=et-1

Q: Find any points on the curve given by I =t+ sint, y= cos²(t), 0<t< 2n where the tangent is (i)…

A: Topic = Functions

Q: Find all points on the curve e = {{r,y) : x² – ry + y? = 7} where the tangent line to C is…

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Q: Find dy/dx and d?y/dx2. x = e', y = te-t dx dy dx2 For which values of t is the curve concave…

A: You have posted 2 question we will solve the first question please resubmit the question which you…

Q: At the point (a, b) the curve T =t-4t, y=t2 +2t, t eR has a vertical tangent line. What is the sum a…

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Q: Find dy/dx in terms of x and y if arcsin(x'y) = xy'. dy dr Submit answer

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Q: Use implicit differentiation to determine dy dy given the equation xy + csc(x) = cot(y). dx

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Q: ane both tangents 5) TR and SR to OC. Find Hhe valve of x. 5x-7 23

A: Length of tangent to circle

Q: Given h(x) = ,(2t? – 4t) dt, write the equation of the tangent line at x = 1. %3D

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Q: y=Cx^2 and y=lnx find C where the graphs are tangent to each other

A: We have to find the value C.

Q: Find the lengths of tangent, subtangent, normal and subnormal to y=4ax at ( at,2at).

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Q: Use the graph to estimate the slope of the tangent line at the labeled point. Then verify your…

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Q: Find the equation of the tangent to x = = VE , y = t – at the point where t = 4. Note: Sample format…

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Q: Function y U dy du dy du dx dx y = sin(3x²) cos(3x²) _y = V5x² – 4

A: Given: The functions y=sin3x2cos3x2 y=5x2-43 To determine: The inner function u, outer function y,…

Q: dy Find for the following functions: - dx y = (cosx)V* %3D

A: y=(cosx)x We have to calculate first derivative of given expression.

Q: Find if y = xsinx – cosx d²y COSX dy Find using implicit differentiation а. уз + у? — 5у — х? %3D —…

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Q: Find the lenght of the curve y = x- tnx, 1+/dy 2. dx %3D %3D

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Q: Find the equation of the tangent line to a? + y? = 9 at the point (2, v5) O y = 5+ 2 (x - 5) V3 Oy =…

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Q: dy Find dx if y = V5 – x2 by using definition formula of derivative (l ié ina plaäiul).

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Q: Find the rate of change f(x, y) = In(2a² + 5y2) at (v2, v2) in the direction making a (positive)…

A: First we have to find the divergence of the given function.

Q: dy Find dx for the function y = ecotx

A: We want to find the derivative of the given function.    y=ecotx Here we apply chain rule of…

Q: メ*+\ for what Value sss of x ,t he curve y= 3 X has horizontal tangent

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Q: Find dy/dx in terms of a and y if arcsin(x'y) = xy". dy da %3D

A: Consider: sin-1x7y=xy7. Calculate dydx.   Derivate both side with respect x and apply chain rule.…