INSTRUCTION Use the hinge theorem or its Converse to solve for the value of x. Show you complete solution. 1. . 2. 39 48 45 41° 52 22° 36 ir + 18 45 7x - 6

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

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Q: aluate the limit assuming that lim,→-4 f(x) = 5 and lim,→-4 g(x) = 2. se symbolic notation and…

A: Topic:- calculus

Q: Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3 and 192.

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

A: Find equation of line and put parametric value of (x,y,z) in plane and solve for x,y and z.

Q: Consider the function f(x) whose second derivative is f''(x) = 10x + 3 sin(x). %3D If f(0) = 2 and…

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

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Q: 1. Evaluate the following iterated integral. 16 4 dydr

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Q: 1, ship A is 70 km west of ship B. Ship A is sailing south at 40 km/h and ship B is sailing north at…

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Q: III. SOLVE THE FOLLOWING INDETERMINATE FORMS(: |2 + x² 2) Lim

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Q: Question dx If y = x'+5 and dt dy at x = -5. dt -6, find %3D Provide your answer below: dy dt =口 %3D…

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Q: Find a polar equation in the form r= f(θ) of the hyperbola with eccentricity e= 4 such that one of…

A: To find the polar equation.

Q: Find an equation of the tangent line to the curve at the given point. y = In(x² – 6x + 1), (6, 0) y…

A: As per guidelines we have to solve one question Please repost other questions again

Q: y = cosx sinx

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = = t.9 sin (3t). What…

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Q: Given the following vectors a =(-1,-2),5 =(-3,-4),c = 2,-1), d = (-4,3) Use the dot product and…

A: We have to use dot product and scalar multiplication to find the relation between vector b and d.

Q: Suppose f'(x) = sin(5a²). d dz F(8z) d f(7=*) = | dx

A: Given f'(x)=sin(5x2) which means ddxf(x)=sin(5x2). Now we need to findddxf(8x) and ddxf(7x8), now…

Q: 11.(Straightforward) Find a particular solution to each of these by using the method of variation of…

A: Since we are given with multiple number of subparts, answered according to the guideline

Q: A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the…

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Q: Find the first three nonzero terms of the Maclaurin series for the function and the values of x for…

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Q: Write an equation for the transformed logarithm shown below -5 -4 -3 -1 -2- -4 f(z) =

A: We are given a transformed logarithm graph and we have to find function f(x) whose graph is this In…

Q: Find the two -intercepts the function r and show that 7 (x) = 0 some polnt between the two. f(x) =…

A: Given query is to find the x intercept.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Evaluate the triple integral. 3xy dV, where E is bounded by the parabolic cylinders y = x² and x =…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Find taylor Series using Substidetion

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Q: 12x3 Find the power series for f(x) = in the form an. (1- x*) n=1 3 Hint: First, find the power…

A: Here we have to find the power series for            f(x) = 12x3/(1-x4)2

Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

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Q: Use the Ratio Test to determine the radius of convergence of 8. x" Vn- 97 Then determine whether the…

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Q: 1.e -9- -2 4,0 2

A: Given query is to find the equation of the polynomial.

Q: 16. The value of y' for y = x³ + 2x² – 4 at point (-2, –4) is, I. -4 П. 4 III. 6 IV. 8 | II O IV

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Q: STUDY GUIDE Question 11-Find the coefficient a of the term in the expansion of the binomial. a.)…

A: The given question has been solved in detail.

Q: Let y 5x? + 4x + 3. If Ar 0.1 at I = 5, use linear approximation to estimate Ay

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 9) v = (sin(0),…

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Q: A plane flies at a speed 560 km/hr at a constant height of 15 km. How rapidly is the angle of…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) =…

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Q: Let y 2x2. Find the change in y, Ay when x 1 and Ax 0.3 Find the differential dy when z = 1 and dx…

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Q: x'+3x +3x+1 (3) (i) Find lim x+1 2x +3x –1

A: In given function on putting x = -1 it gives ( 0/0) indeterminate form .  Hence first we factorize…

Q: 1 dx 2 Jo (x-1)²

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Q: Differentiate the function. p(t) = In Vt2 + 8

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Q: The complex conjugate z is denoted as z̄. Solve for z in the equation:…

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Q: Use implicit differentiation to find dz/dx and dz/dy. yz = 2 In(x + z) dz ax ze dy II II

A: Consider a function f(x,y,z) .Then to find ∂f∂x ,differentiate f with respect to x taking y and z as…

Q: Two boats leave a dock at the same time. One boat travels south at 16 mi / hr and the other travels…

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Q: Find the points on the the polar curve r = 4 cos 0 where the tangent line is horizontal.

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Q: Which of the following could be an example of a function with a range (0 and a domain ) where a> 0…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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